2 options
The functional and harmonic analysis of wavelets and frames : AMS Special Session on the Functional and Harmonic Analysis of Wavelets, January 13-14, 1999, San Antonio, Texas / Lawrence Wasson Baggett, David Royal Larson, editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- AMS Special Session on the Functional and Harmonic Analysis of Wavelets, Corporate Author.
- Conference Name:
- AMS Special Session on the Functional and Harmonic Analysis of Wavelets (1999 : San Antonio, Texas), issuing body.
- Series:
- Contemporary mathematics (American Mathematical Society) ; 247.
- Contemporary mathematics, 0271-4132 ; 247
- Language:
- English
- Subjects (All):
- Wavelets (Mathematics)--Congresses.
- Wavelets (Mathematics).
- Functional analysis--Congresses.
- Functional analysis.
- Physical Description:
- 1 online resource (320 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1999]
- Language Note:
- English
- Summary:
- Over the past decade, wavelets and frames have emerged as increasingly powerful tools of analysis on $n$-dimension Euclidean space. Both wavelets and frames were studied initially by using classical Fourier analysis. However, in recent years more abstract tools have been introduced, for example, from operator theory, abstract harmonic analysis, von Neumann algebras, etc. The editors of this volume organized a Special Session on the functional and harmonic analysis of wavelets at the San Antonio (TX) Joint Mathematics Meetings. The goal of the session was to focus research attention on these newly-introduced tools and to share the organizers' view that this modern application holds the promise of providing some deeper understanding and fascinating new structures in pure functional analysis. This volume presents the fruitful results of the lively discussions that took place at the conference
- Contents:
- ""Contents""; ""Preface""; ""Reconstruction of vector and tensor fields from sampled discrete data""; ""Abstract harmonic analysis and wavelets in Rn""; ""Density and redundancy of the noncoherent Weyl-Heisenberg superframes""; ""The construction of multiple dyadic minimally supported frequency wavelets on Rd""; ""The behaviour at the origin of a class of band-limited wavelets""; ""Convergence of the cascade algorithm at irregular scaling functions""; ""1. Introduction""; ""2. General Theory""; ""3. Some examples""; ""List of Figures""; ""4. Conclusions""; ""Appendix""; ""References""
- ""Classifying tight Weyl-Heisenberg frames""""Frames for Banach spaces""; ""Construction of dilation-d wavelets""; ""A module frame concept for Hilbert C* -modules""; ""Triangularization of Hankel operators and the bilinear Hilbert transform""; ""Two remarks concerning wavelets: Cohen's criterion for low-pass filters and Meyer's theorem on linear independence""; ""Multiresolution analyses of abstract Hilbert spaces and wandering subspaces""; ""Compactly supported refinable functions with infinite masks""; ""Applications of the wavelet multiplicity function""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7837-9
- 0-8218-5583-2
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.