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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)
- 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
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Directions to the institute
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 --- |
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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 --- |
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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 |
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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