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July 15, 2001
O P - S F N E T Volume 8, Number 4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Editor:
Martin Muldoon muldoon@yorku.ca
The Electronic News Net of the SIAM Activity Group
on Orthogonal Polynomials and Special Functions
Please send contributions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
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Today's Topics:
1. From the Editor
2. Message from the Chair
3. Patras Conference on Differential, Difference Equations
and Applications
4. 2002 Summer school in Leuven, Belgium
5. Article by Michael Berry
6. Honorary Doctorate for Ian Macdonald
7. Eduardo Sontag Wins Reid Prize
8. OP-SF preprints in xxx archive
9. About the Activity Group
10. Submitting contributions to OP-SF NET and Newsletter
Calendar of Events:
2001
July 9-22: Summer School in Asymptotic Combinatorics,
St. Petersburg, Russia 7.6 #3
August 6-10: "2001: A Mathematics Odyssey: Analytic theory of
continued fractions, orthogonal functions and related topics,
Grand Junction, Colorado, USA 7.4 #5, 8.3 #3
August 20-24: 3rd International meeting on Approximation
Theory, Dortmund, Germany 7.4 #6
September 17-21: Summer School on Orthogonal Polynomials, Harmonic
Analysis, Approximation and Applications,
Inzell, Germany 8.3 #4
October 1-5: "Numerical Algorithms", Conference in Honor of Claude
Brezinski, Marrakesh, Morocco 7.3 #3
October 28 - November 2: Workshop on Mathematical Physics,
Porto-Novo, Benin 8.2 #6
2002
July 1-2: International Conference on Differential, Difference
Equations and their Applications. Patras, Greece 8.4 #3
July 8-12 - SIAM 50th Anniversary & Annual Meeting
Philadelphia, Pennsylvania, USA
http://www.siam.org/meetings/an02/
including an Activity Group minisymposium
July 22 - August 2: IMA Summer Program "Special Functions in the
Digital Age" Minneapolis, Minnesota, USA 8.2 #7
August 5-14: Workshop on Special Functions at FoCM'02, "Foundations of
Computational Mathematics" Minneapolis,
Minnesota, USA 8.1 #1
August 12-17, 2002: Summer school in Orthogonal Polynomials and
Special Functions, Leuven, Belgium 8.4 #4
Future plans:
There are plans to organize a summer school on Orthogonal Polynomials
and Special Functions in Portugal in July 2003 (July). (Contact
person: Amilcar Branquinho). This is in the series Inzell, 2001
(OP-SF NET 8.3, Topic #3), and Leuven, 2002 (OP-SF NET 8.4, Topic #4).
The coordinator of the three summer schools is Erik Koelink
(koelink@dutiaw4.twi.tudelft.nl). These summer schools are part of our
Activity Group's scientific program. The scientific committee consists
of Erik Koelink, Rupert Lasser, Amilcar Branquinho, Paco Marcellan and
Walter Van Assche.
Topic #1 -------------- OP-SF NET 8.4 ---------------- July 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: From the Editor
More than 140 members of the OP-SF community enjoyed the 6th
International Symposium on Orthogonal Polynomials, Special Functions
and Applications held at Lido di Ostia, near Rome, June 18-22. Many
thanks to the local organizers Andrea Laforgia, Paolo Emilio Ricci,
Pierpaolo Natalini, Fabrizio Pascucci, Gino Palumbo and members of the
staffs of Universita di Roma Tre and Universita di Roma "La Sapienza"
for an excellent program and for ensuring that all went smoothly. We
hope to have a more detailed report in our next issue.
As mentioned by Daniel in the Message from the Chair (Topic #2), we
have elections this year for the officers of the group. We also
welcome suggestions and volunteers for positions as editor for OP-SF
NET and the printed Newsletter. It seems to me that we might consider
an arrangement where there is an editorial group (we already have it
informally to some extent) whose membership might change from time to
time but which not require anybody to suddenly "take over" when there
is a vacancy. If you have ideas along these lines or would like to
help out please contact me or any of the officers.
Topic #2 -------------- OP-SF NET 8.4 ---------------- July 15, 2001
~~~~~~~~~~~~~
From: Daniel Lozier
Subject: Message from the Chair
Two recent meetings of interest to our activity group have taken place.
The first was a meeting of our members and officers who were present at the
Sixth International Symposium on Orthogonal Polynomials, Special Functions
and Applications (OPSFA), held last month in Ostia near Rome, Italy. All
four officers and a dozen members attended. The second was a meeting, which
I attended, of the SIAM activity group chairpersons that SIAM conducted on
July 11 at its annual meeting in San Diego.
1. One item of discussion at the OPSFA meeting was nomination of candidates
for the upcoming election for Chair, Vice-Chair, Secretary and Program
Director. According to our SIAM charter, a nominating committee will
develop the slate of candidates and SIAM will conduct the election later
this year. The nominating committee consists of Dan Lozier, Walter Van
Assche, Paco Marcellan, Charles Dunkl, Martin Muldoon and Renato
Alvarez-Nodarse. The newly elected officers will serve for 3 years starting
on January 1, 2002. If you know someone who would like to serve as an
officer, including yourself, please let me know by August 3.
Then the current and future activity group program was discussed. Two
definite program events are on the calendar. The Summer School on
Orthogonal Polynomials, Harmonic Analysis, Approximations and
Applications, will be held at Inzell, Bavaria, September 17-21, 2001.
Information can be obtained from OP-SF NET 8.3, Topic #3 or from
http://www.gsf.de/ibb/ag1/summerschool. A special lecture and
minisymposium will be sponsored by our group at the 2002 SIAM Annual
Meeting, to be held July 8-12, in Philadelphia. Nico Temme will
present the special lecture, and he is working with Paco Marcellan,
our Program Director, to develop the minisymposium. SIAM is planning
special events at this meeting to celebrate its 50th anniversary and
to highlight the activity groups.
2. The purpose of the second meeting was to examine and strengthen the
relationship between SIAM and the activity groups. Some interesting
background information was provided about the SIAM annual meetings: usually
about 1000 people attend; a large fraction are not members of SIAM; almost
all SIAM members who attend are speakers; and student participation is about
18% on average. SIAM reaches out to students by sponsoring chapters at
universities and by offering a reduced membership rate for students. Also,
students can apply for travel grants to attend SIAM meetings. Future annual
meetings may include more professional activities, such as job fairs.
SIAM intends to hire a staff coordinator to work with the activity groups. An
early project is to develop an activity group presence at the main SIAM Web
site. John Guckenheimer, past president of SIAM, is helping establish the
first of these (DS-Web) for the dynamical systems activity group.
SIAM is seeking to increase participation of the activity groups in the
governing of SIAM, for example by circulating proposed nominations for SIAM
offices to the groups for comments and recommendations.
Privately I raised several issues of concern to our group with Jim Crowley,
SIAM Executive Director. One was the question of editorial direction at the
SIAM Journal on Mathematical Analysis. Jim expressed his desire to satisfy
our needs for adequate representation on the editorial board and in the
stated scope of the journal. He suggested directly approaching the chief
editor, Walter Strauss, about these matters. Another issue was the
possibility of SIAM financial support to help one or two students attend our
Summer Schools, such as the one in Inzell. Jim supports the idea in
principle; of course we will need to prepare a proposal to SIAM. Finally, I
raised the idea of establishing a prize for a thesis, or paper published
within a few years of the thesis, in the area of orthogonal polynomials and
special functions. This was discussed at the OPSFA meeting, where the
following tentative particulars emerged: the prize would be offered on a
3-year cycle; it would be called the Szego Prize; it would be awarded and
the recipient would present a paper at the SIAM annual meeting; and the
recipient would recieve complimentary annual meeting registration and a cash
award of $500. Jim supported this idea enthusiastically. The next step is
to prepare an application to SIAM stating the goals and purposes and
guidelines for selection. I think this should be a priority next year for
the new officers of our group.
Topic #3 -------------- OP-SF NET 8.4 ---------------- July 15, 2001
~~~~~~~~~~~~~
From: Panos Siafarikas
Subject: Patras Conference on Differential, Difference Equations
and Applications
[From the web site:
http://thalis.math.upatras.gr/~panos/EnglVersion/Webpage/icddea.html]
INTERNATIONAL CONFERENCE ON DIFFERENTIAL,
DIFFERENCE EQUATIONS AND THEIR APPLICATIONS
Dedicated to Professor E. K. Ifantis, on the occasion of his sixty-seventh
birthday.
July 1 – 5, 2002, Patras, Greece.
FIRST ANNOUNCEMENT
Dear colleague,
On July 1–5, 2002 an international conference on differential,
difference equations and their applications (ICDDEA, in short) will be
held in Patras, Greece, at the Conference and Cultural Hall of the
University of Patras. The conference is dedicated to Professor
Evangelos K. Ifantis, who has worked in the above mentioned areas of
mathematics, on the occasion of his sixty – seventh birthday,
The main subjects of ICDDEA will include:
Ordinary Differential Equations.
Partial Differential Equations.
Ordinary Difference Equations.
Partial Difference Equations.
Applications.
The scientific program will consist of some plenary lectures of 1 hour,
some invited lectures of 30 minutes and short communications of 20 minutes.
The second circular, to be distributed by the end of November 2001, will
give detailed information about it.
The cost of attendance is expected to be very reasonable. The following
estimates are subject to change but it is anticipated that the registration fee
will be around 240 Euro. For students, under formal verification, a reduced
registration fee will be applied. The registration fee, for all registered
participants, will include the lunches from 1 July to 5 July, the admission to
the Conference, a copy of the book of abstracts, a copy of the Proceedings,
transportation between the hotels and the conference site, reception and
participation in some social events (welcome dinner, official reception,
a visit to the archaeological site of Delfi, etc).
To help us with the organisation of the Conference, we would
appreciate it if you, already at this early stage, could indicate your
potential attendance in the preliminary registration. If you are
interested in participating, please fill out the preregistration form
(at the web site or available from the organizers) and return it as
soon as possible (by ordinary mail, fax or e-mail) and, in any case,
not later than October 15, 2001 to the Conference Mailing Address:
INTERNATIONAL CONFERENCE ON DIFFERENTIAL, DIFFERENCE
EQUATIONS AND THEIR APPLICATIONS
Department of Mathematics (to Prof. P. D. Siafarikas)
University of Patras
26500 Patras
Greece
Tel. - Fax: +(3) 061 997169
E-Mail: icddea@math.upatras.gr
The Conference will be held at the Conference and Cultural Hall of the
University of Patras, located at the University Campus which is 7 km from
downtown of the city of Patras and 3 km from Rio region, where there are
many hotels which the participants could choose to stay.
The Local Organizing Committee consists of:
C. Kokologiannaki (Department of Mathematics, University of Patras)
P. Siafarikas (Department of Mathematics, University of Patras)
A. Vourdas (Department of Electrical Engineering, University of Patras)
Patras may be reached easily by car, bus and train from Athens (220 km)
or directly by many daily boats from Italy (Bari, Ancona, Brindisi, Venice).
Looking forward to seeing you in Patras.
Panayiotis D. Siafarikas
Professor
Chairman of the Organizing Committee
[The web site has further information about Patras - Ed.]
Topic #4 -------------- OP-SF NET 8.4 ---------------- July 15, 2001
~~~~~~~~~~~~~
From: Erik Koelink
Subject: 2002 Summer school in Leuven, Belgium
Summer school in Orthogonal Polynomials and Special Functions
From August 12-17, 2002, a summer school in Orthogonal Polynomials and
Special Functions takes place at the Katholieke Universiteit Leuven,
Belgium. This summer school is the third in a series after Laredo
(Spain), 2000, and Inzell (Germany), September 17-21, 2001 (see
http://www.gsf.de/ibb/ag1/summerschool/
The lecturers for the Leuven summer school are:
Wolfram Koepf (Kassel): Computer Algebra Algorithms
for Orthogonal Polynomials and Special Functions
Arno Kuijlaars (Leuven): Riemann-Hilbert Analysis of
Orthogonal Polynomials
Adri Olde Daalhuis (Edinburgh): Exponential Asymptotics
Dennis Stanton (Minnesota): TBA
Joris Van der Jeugt (Gent): TBA
The school is organised by Walter Van Assche and Erik Koelink. More information
on the 2002 Leuven summer school can be found at
http://aw.twi.tudelft.nl/~koelink/opsf2002.html
and will also be announced in the OP-SF NET and Newsletter.
Topic #5 -------------- OP-SF NET 8.4 ---------------- July 15, 2001
~~~~~~~~~~~~~
Sender: Tom Koornwinder
Subject: Article by Michael Berry
Someone put in my mailbox a copy of the article
Michael Berry, Why are special functions special?, Physics Today 54
(2001), no.4, 11-12.
It is also on the web:
http://physicstoday.org/pt/vol-54/iss-4/p11.html
I can recommend it very much. Michael tells physicists about the
importance of special functions for physics, and he is promoting the
DLMF-project (successor to Abramowitz and Stegun).
Tom Koornwinder
thk@science.uva.nl
Topic #6 -------------- OP-SF NET 8.4 ---------------- July 15, 2001
~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Honorary Doctorate for Ian Macdonald
On 8 January 2002, at the celebration of its 370th anniversary, the
University of Amsterdam is to grant honorary doctorates to the Dutch
art historian Eddy de Jongh, the English mathematician Ian
G. Macdonald, and Arthur Chaskalson, the president of the
Constitutional Court of South Africa.
See the English translation of the official press release on webpage
http://cf.bc.uva.nl:80/english/about.the.uva/news2.html
The part on Macdonald is given below. This can also be found, with links, on
http://www.science.uva.nl/research/math/news/macdonald.html
Eric Opdam and Tom Koornwinder
---------------------------------------------------------------
Ian Macdonald
Ian Macdonald (1928) is working in pure mathematics, in particular
group theory, algebraic combinatorics and the theory of special
functions. Remarkable features of his work are its great originality
and an almost infallible intuition for posing fundamental research
questions. Macdonald has become famous amongst mathematicians a.o. by
his book 'Symmetric functions and Hall polynomials' and by the
introduction of the Macdonald polynomials.
'Symmetric functions and Hall polynomials' (1979, much extended second
edition in 1995) is a standard reference book about the representation
theory of the symmetric group and its many combinatorical, algebraic
and group theoretical applications. In 'Affine root systems and
Dedekind's eta-function' (Inventiones Mathematicae 15, 1972) he
establishes a connection between a number theoretical observation by
the physicist Freeman Dyson and the theory of simple Lie algebras. In
'Some conjectures for root systems' (SIAM Journal on Mathematical
Analysis 13, 1982) Macdonald formulates some conjectures about the
combinatorical properties of so-called root systems. In 1987/88 he
defines a class of symmetric functions, and more generally a class of
polynomials associated with root systems, which are now both known as
Macdonald polynomials (see 'A new class of symmetric functions' and
'Orthogonal polynomials associated with root systems' in Seminaire
Lotharingien Combinatoire 20, 1988 and 45, 2000). The impact of these
polynomials, both in mathematics and in theoretical physics, has been
enormous.
Ian Macdonald started his scientific career in 1957 as a lecturer in
mathematics at the University of Manchester. Until his retirement in
1987 Macdonald has worked during many years as a professor at Queen
Mary College in London. Since his retirement he has remained active in
research with publications and lectures.
Topic #7 -------------- OP-SF NET 8.4 ---------------- July 15, 2001
~~~~~~~~~~~~~
From: Allison Bogardo
Subject: Eduardo Sontag Wins Reid Prize
SIAM has announced that its 2001 W.T. and Idalia Reid Prize in
Mathematics will be awarded to Professor Eduardo Sontag of Rutgers
University. The prize is awarded for research in, or other
contributions to, the broadly defined areas of differential equations
and control theory. The selection committee (comprised of John A.
Burns as chair, Ruth F. Curtain, James G. Glimm, and John
Guckenheimer) cited Sontag's many contributions to nonlinear control
theory.
Professor Sontag will receive the Reid Medal and a $10,000 cash award
at the SIAM Annual Meeting in San Diego in July. Sontag will deliver
the Reid lecture on Wednesday, July 11, at 5:20 p.m. in the Town and
Country Room of the Town and Country Resort Hotel. The title of his
talk will be "The central themes of systems and control theory, and
their role in postgenomic molecular biology."
The prize is named for William T. and Idalia Reid, William T. having
been a renowned mathematics professor at the University of Chicago,
Northwestern University, University of Iowa, and University of
Oklahoma. Previous Reid Prize recipients are Wendell H. Fleming, Roger
W. Brockett, Constantine M. Dafermos, and the late Jacques-Louis
Lions.
Topic #8 -------------- OP-SF NET 8.4 ---------------- July 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: OP-SF preprints in xxx archive
The following preprints related to the fields of orthogonal polynomials
and special functions were recently posted or cross-listed to one of the
subcategories of the xxx archives. See especially:
http://front.math.ucdavis.edu/math.CA
http://front.math.ucdavis.edu/math.CO
http://front.math.ucdavis.edu/math.QA
http://xxx.lanl.gov/archive/solv-int
math.QA/0105002
From: S. Ole Warnaar
Date: Tue, 1 May 2001 06:57:14 GMT (22kb)
Partial theta functions. I. Beyond the lost notebook
Authors: S. Ole Warnaar
Comments: 30 pages, AMS-LaTeX
Subj-class: Quantum Algebra; Combinatorics
MSC-class: 05A30; 33D15; 33D90
math.NT/0105003
From: Balan
Date: Tue, 1 May 2001 13:33:13 GMT (4kb)
Formules pour les nombres premiers
Authors: A.Balan
Comments: In french
Subj-class: Number Theory; General Mathematics
Paper: Source (4kb), PostScript, or Other formats
math.CO/0105030
From: Laura Felicia Matusevich
Date: Thu, 3 May 2001 22:52:43 GMT (30kb)
A-hypergeometric systems and embedded primes
Authors: Laura Felicia Matusevich
Subj-class: Combinatorics; Algebraic Geometry
Paper: Source (30kb), PostScript, or Other formats
math.QA/0105061
From: Bogdan Ion
Date: Tue, 8 May 2001 21:09:50 GMT (14kb)
Nonsymmetric Macdonald polynomials and Demazure characters
Authors: Bogdan Ion
Comments: 15 pages
Subj-class: Quantum Algebra; Representation Theory
Paper: Source (14kb), PostScript, or Other formats
math.CA/0105093
From: Jasper V. Stokman
Date (v1): Fri, 11 May 2001 12:57:05 GMT (22kb)
Date (revised v2): Thu, 17 May 2001 12:00:42 GMT (23kb)
An expansion formula for the Askey-Wilson function
Authors: Jasper V. Stokman
Comments: 24 pages. Some remarks added in section 6 on the connection
with moment problems
Subj-class: Classical Analysis; Quantum Algebra
MSC-class: 33D45; 33D80
Paper: Source (23kb), PostScript, or Other formats
math.QA/0105117
From: Erik Koelink
Date: Tue, 15 May 2001 07:53:48 GMT (61kb)
A locally compact quantum group analogue of the normalizer of SU(1,1)
in SL(2,C)
Authors: Erik Koelink, Johan Kustermans
Comments: 48 pages, 1 figure
Subj-class: Quantum Algebra; Operator Algebras
MSC-class: 46L89, 33D80
Paper: Source (61kb), PostScript, or Other formats
math.NT/0105120
From: Jean-Francois Burnol
Date: Tue, 15 May 2001 13:56:26 GMT (10kb)
Sur certains espaces de Hilbert de fonctions entieres, lies a la transformation
de Fourier et aux fonctions L de Dirichlet et de Riemann
Authors: Jean-Francois Burnol
Comments: 10 pages. In french with an english summary
Subj-class: Number Theory
Paper: Source (10kb), PostScript, or Other formats
hep-th/0105107
From: Pierre Mathieu
Date: Fri, 11 May 2001 17:45:05 GMT (20kb)
Jack superpolynomials, superpartition ordering and determinantal formulas
Authors: P. Desrosiers, L. Lapointe, P. Mathieu
Comments: Latex 2e, 20 pages
Subj-class: High Energy Physics - Theory; Mathematical Physics;
Quantum Algebra;
Exactly Solvable and Integrable Systems
Paper: Source (20kb), PostScript, or Other formats
math-ph/0105002
From: "R. Jaganathan"
Date: Wed, 2 May 2001 11:26:36 GMT (16kb)
Some introductory notes on quantum groups, quantum algebras, and their
applications
Author: R. Jaganathan (The Institute of Mathematical Sciences, India)
Comments: 23 pages, LaTeX2e - To appear in the Proceedings of a Programme on
Quantum Groups and their Applications held at the Ramanujan Institute for
Advanced Study in Mathematics, University of Madras, India
Report-no: IMSc/2001/24
Subj-class: Mathematical Physics; Quantum Algebra
Paper: Source (16kb), PostScript, or Other formats
math-ph/0105007
From: Krzysztof Maslanka
Date: Fri, 4 May 2001 14:54:15 GMT (4kb)
Hypergeometric-like Representation of the Zeta-Function of Riemann
Authors: Krzysztof Maslanka
Subj-class: Mathematical Physics
Paper: Source (4kb), PostScript, or Other formats
math-ph/0105030
Date: Wed, 23 May 2001 12:37:43 GMT (11kb)
Elliptic and Hyperelliptic Solutions of Discrete Painlev\'e I and Its
Extensions to Higher Order Difference Equations
Authors: Shigeki Matsutani
Comments: AMS-TeX, 9 pages
Subj-class: Mathematical Physics; Algebraic Geometry; Number Theory
Paper: Source (11kb), PostScript, or Other formats
math-ph/0105031
Date: Wed, 23 May 2001 12:38:38 GMT (9kb)
Recursion Relation of Hyperelliptic Psi-Functions of Genus Two
Authors: Shigeki Matsutani
Comments: AMS-TeX, 10 pages
Subj-class: Mathematical Physics; Algebraic Geometry; Number Theory
Paper: Source (9kb), PostScript, or Other formats
math-ph/0105032
Date: Wed, 23 May 2001 12:42:19 GMT (11kb)
Soliton Solutions of Korteweg-de Vries Equations and Hyperelliptic Sigma
Functions
Authors: Shigeki Matsutani
Comments: AMS-TeX, 11 pages
Subj-class: Mathematical Physics; Algebraic Geometry; Analysis of PDEs
Paper: Source (11kb), PostScript, or Other formats
nlin.CD/0105048
From: Matthias Brack
Date (v1): Tue, 22 May 2001 07:44:24 GMT (418kb)
Date (revised v2): Sat, 9 Jun 2001 09:04:17 GMT (405kb)
Occurrence of periodic Lam\'e functions at bifurcations in chaotic Hamiltonian
systems
Authors: M. Brack, M. Mehta, K. Tanaka
Comments: LaTeX2e, 22 pages, 14 figures. Submitted to J. Phys. A. Version 2:
Replaced Tabs. 1,2 and Figs. 4-7,9,10 after correction of numerical error and
obtaining improved convergence and improved results. Corrected misprint in last
line of Sec.3 Subj-class: Chaotic Dynamics; Mathematical Physics
Paper: Source (405kb), PostScript, or Other formats
quant-ph/0105044
From: "A.Khare"
Date: Thu, 10 May 2001 14:56:57 GMT (21kb)
Some Exact Results for Mid-Band and Zero Band-Gap States of Associated Lame
Potentials
Authors: Avinash Khare, Uday Sukhatme
Comments: 18 pages, 2 figures
Report-no: UICHEP-TH/01-2, IP-BBSR/01-5, May 2001
Subj-class: Quantum Physics; Mathematical Physics
Paper: Source (21kb), PostScript, or Other formats
math.CO/0106025
From: Anatol N. Kirillov
Date: Tue, 5 Jun 2001 06:31:23 GMT (12kb)
Generalized Umemura polynomials and Hirota-Miwa equations
Authors: Anatol N. Kirillov, Makoto Taneda
Comments: 19 pages
Subj-class: Combinatorics; Quantum Algebra
MSC-class: 14D15; 34M55
Paper: Source (12kb), PostScript, or Other formats
math.QA/0106041
From: Yoshihiro Takeyama
Date: Thu, 7 Jun 2001 02:48:10 GMT (7kb)
On solutions of the q-hypergeometric equation with q^{N}=1
Authors: Yoshihiro Takeyama
Comments: 9 pages
Subj-class: Quantum Algebra; Classical Analysis
Paper: Source (7kb), PostScript, or Other formats
math.NT/0106054
From: Matthew A. Papanikolas