-- Latest update: 26/07/04

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Workshop on

Functional and harmonic analyses of wavelets and frames

4 - 7 August 2004

Part of IMS program on Mathematics and Computation in Imaging Science and Information Processing (July - December 2003 and August 2004)

 Organizers

 Visitors

 Venue

  • IMS Seminar Room (4 - 5 August 2004) & IMS Auditorium (6 - 7 August 2004)
    Institute for Mathematical Sciences, NUS
    3 Prince George's Park
    Singapore 118402
  • Directions to the institute

 Program

 

  Wednesday, 4 August 2004

9:00am 9:20am

Registration

9:20am 9:30am

Welcome & opening remarks

9:30am 10:30am

Unitary matrix functions, wavelet algorithms, and structural properties of wavelets
(Tutorial lecture, Part I. - Scaling identities in wavelet analysis, and systems of operators in Hilbert space)
Palle Jorgensen, University of Iowa
   Lecture notes: PDF

10:30am 11:00am

--- Tea break ---

11:00am 12:00nn

Unitary matrix functions, wavelet algorithms, and structural properties of wavelets
(Tutorial lecture, Part II. - Wavelet algorithms computed with unitary matrix functions (also called poly-phase matrices))
Palle Jorgensen, University of Iowa
   Lecture notes: PDF

12:00nn 2:00pm

--- Lunch break ---

2:00pm 3:00pm

Unitary systems, wavelet sets, and operator-theoretic interpolation of wavelets and frames
(Tutorial lecture, Part I. - Unitary systems and wavelet sets)
David Larson, Texas A&M University

3:00pm 3:30pm

--- Tea break ---

3:30pm 4:30pm

Unitary systems, wavelet sets, and operator-theoretic interpolation of wavelets and frames
(Tutorial lecture, Part II. - Unitary systems and frames)
David Larson, Texas A&M University

 

  Thursday, 5 August 2004

9:30am 10:20am

Construction of Parseval wavelets from a redundant system of filters Larry Baggett, University of Colorado

10:20am 10:45am

--- Tea break ---

10:45am 11:35am

Some operator relations for normal operators and connections to multi-resolution theory
Ola Bratteli, University of Oslo

11:45am 12:35pm

Generalized shift-invariant frames and duals for subspaces
Ole Christensen, Technical University of Denmark

12:35pm 2:30pm

--- Lunch break ---

2:30pm 3:20pm

Unitary matrix functions, wavelet algorithms, and structural properties of wavelets
(Tutorial lecture, Part III. - Some special wavelets with general multiplicity configurations)
Palle Jorgensen, University of Iowa
   Lecture notes: PDF

3:20pm 3:45pm

--- Tea break ---

3:45pm 4:35pm

Unitary systems, wavelet sets, and operator-theoretic interpolation of wavelets and frames
(Tutorial lecture, Part III. - Decompositions of operators and operator-valued frames)
David Larson, Texas A&M University

4:45pm 5:35pm

Wavelet transforms and admissible group representations
Eric Scott Weber, Iowa State University

 

  Friday, 6 August 2004

9:30am 10:20am

On the existence of multiresolution analysis for framelets
Marcin Bownik, University of Oregon

10:20am 10:45am

--- Tea break ---

10:45am 11:35am

The Calderon reproducing formula and Brownian motion functionals
Richard Gundy, Rutgers University

11:45am 12:35pm

Low pass filters, probability, and statistical mechanics
Richard Gundy, Rutgers University

12:35pm 2:30pm

--- Lunch break ---

2:30pm 3:20pm

Foldable figures, Fuchsian groups, and multiscale structures
Peter Massopust, TIPS - Tuboscope Integrated Pipeline Solution, USA

3:20pm 3:45pm

--- Tea break ---

3:45pm 4:35pm

Spanning and sampling in Lebesgue, Sobolev and Hardy spaces (Part I)
Richard Laugesen, University of Illinois

4:45pm 5:35pm

Spanning and sampling in Lebesgue, Sobolev and Hardy spaces (Part II)
Huy-Qui Bui, University of Canterbury

 

  Saturday, 7 August 2004

9:30am 10:20am

Dual Gramian analysis
Zuowei Shen, National University of Singapore

10:20am 10:45am

--- Tea break ---

10:45am 11:35am

Projective modules and Hilbert modules for $C(\mathbb T^n)$
Judith Packer, University of Colorado

11:45am 12:35pm

Projective multi-resolution analyses for $L^2(\mathbb R^n)$
Judith Packer, University of Colorado

12:35pm 12:40pm

Closing remarks

 

 Registration

Please complete the registration form (MSWord|PDF|PS) and fax to (65) 6873 8292 or email to ims@nus.edu.sg. If you are an IMS member or are applying for IMS membership, you do not need to register for the attendance of the workshop. Registration is free.

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