(pdf file)
Laplace equations, superintegrability and Bocher contractions (pdf file)
Quadratic algebra contractions and 2nd
order superintegrable systems(pdf file)
Wilson polynomials as expansion coefficients for the generic quantum superintegrable system on the 2-sphere(pdf file)
Contractions of 2D 2nd order quantum superintegrable systems and the Askey scheme for hypergeometric
orthogonal polynomials(pdf file)
Structure theory for extended Kepler-Coulomb 3D quantum superintegrable systems(postscript file) (pdf file)
Structure theory for extended Kepler-Coulomb 3D classical superintegrable systems(postscript file)
Structure relations for the symmetry algebras of classical and quantum superintegrable systems(pdf file)
Poster for UNAM meeting on Topics in Classical and Quantum Integrability(pdf file)
Lecture
on: Superintegrability as an organizing principle for special function theory (postscript
file)
(pdf
file)
Lecture
on:The recurrence relation approach to quantum superintegrability (postscript
file)
Lecture
on: Two-variable Wilson Polynomials and the generic superintegrable
system on the 3-sphere (postscript
file)
(pdf
file)
Lecture
on: Verifying
quantum superintegrability (postscript
file)
Lecture
on: Coupling constant metamorphosis and higher order
superintegrable systems (postscript
file)
Lecture
on: second order
superintegrable systems (pdf file)
Lecture
on: Structure and classification results for second order
superintegrable systems (pdf file)
Lecture
on: Models for irreducible representations of quadratic algebras (pdf
file)
Extended
lecture on: Structure and classification of 2D and 3D conformally
flat superintegrable Systems (pdf file)
Lecture
on: Superintegrability and Quasi-exactly solvable problems in quantum
mechanics (pdf file)
Lecture
on: The Chesire Cat Effect in Lie Theory (postscript file)
Lecture
on: Separation of Variables Methods Prosper
pdf
version
Extended
lecture on: The Lie Theory Approach to Special Functions(pdf
file)
Lecture
on: Multiseparability and Superintegrability for Classical and Quantum
Systems (pdf file) (
postscript
file)
Lecture
on: Complete Sets of Invariants for Classical Systems (pdf
file) ( postscript
file)
Lecture
on: Infinite Order Symmetries for Quantum Separable Systems (pdf
file) ( postscript
file)
Three
Introductory Lectures on Fourier Analysis and Wavelets (pdf file) (postscript file)
Not So Recent Course Information:
Spring 2010, Math 4567: Applied
Fourier
Analysis
Fall 2009, Math 4567: Applied
Fourier
Analysis
Fall
2009,
Math
1271: Calculus I
Fall 2008, Math 1371: IT Calculus I
Fall 2007, Math 4242/4457: Applied
Linear
Algebra
Fall 2007, Math 1372: IT Calculus II
Spring
2007,
Math
1271: Calculus I
Spring 2007, Math
1572H: Honors Calculus
Fall 2006, Math 1571H: Honors Calculus
Spring 2006, Math
1572H: Honors Calculus
Spring 2006,
Math 5467: Introduction to the Mathematics of Wavelets
(with PDF and PostScript files of lecture notes)
Fall
2005, Math 1372: IT Calculus II
Fall 2005, Math 1571H: Honors Calculus
Spring
2005, Math 1372: IT Calculus II
Spring
2005, Math 3118: Topics in
Elementary Education II
Fall
2004, Math 2243: Linear Algebra and Differential Equations
Spring
2004, Math 5467: Introduction to the Mathematics of Wavelets
(with PDF and PostScript files of lecture notes)
Fall
2003, Math 1281: Calculus with Biological Emphasis I
Fall 2003,
Math 1371: IT Calculus I
Spring
2003, Math 4242: Applied Linear Algebra
Fall
2002, Math 8600: Topics in Advanced Applied Mathematics (with PDF
and PostScript files of lecture notes)
Spring
2002, Math 5467: Introduction to the Mathematics of Wavelets
(with PDF and PostScript files of lecture notes)
Other Expository Materials:
Lie
Theory and Special Functions (based on my out of print 1968
monograph)
Separation
of Variables for Riemannian Spaces of Constant Curvature by
Ernie Kalnins, (by permission of the author, based in part on joint
work presented in his out of print 1986 monograph)
Lecture Notes and Background Materials on Lebesgue Theory
from a Hilbert and Banach Space Perspective, Including an Application
to Fractal Image Compression (Postscript
File) (PDF
File)
Lecture Notes and Background Materials on Linear Operators in
Hilbert Space (pdf
file) ( postscript
file)
Solutions manual for the book "The Mathematics of Signal Processing", by Steven Damelin and Willard Miller, Jr, Cambridge 2012
(PDF file)
PUBLICATIONS
(with PDF and PostScript files of recent papers)
VITAE
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