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
著者
書誌事項
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
（Contemporary mathematics, v. 247）
American Mathematical Society, c1999
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Reconstruction of vector and tensor fields from sampled discrete data by A. Aldroubi and P. Basser Abstract harmonic analysis and wavelets in $\mathbb{R}^n$ by L. W. Baggett and K. D. Merrill Density and redundancy of the noncoherent Weyl-Heisenberg superframes by R. Balan The construction of multiple dyadic minimally supported frequency wavelets on $\mathbb{R}^d$ by J. J. Benedetto and M. T. Leon The behaviour at the origin of a class of band-limited wavelets by L. Brandolini, G. Garrigos, Z. Rzeszotnik, and G. Weiss Convergence of the cascade algorithm at irregular scaling functions by O. Bratteli and P. E. T. Jorgensen Classifying tight Weyl-Heisenberg frames by P. G. Casazza, O. Christensen, and A. J. E. M. Janssen Frames for Banach spaces by P. G. Casazza, D. Han, and D. R. Larson Construction of dilation-$d$ wavelets by J. Courter A module frame concept for Hilbert C*-modules by M. Frank and D. R. Larson Triangularization of Hankel operators and the bilinear Hilbert transform by J. Gasch and J. E. Gilbert Two remarks concerning wavelets: Cohen's criterion for low-pass filters and Meyer's theorem on linear independence by R. F. Gundy Multiresolution analyses of abstract Hilbert spaces and wandering subspaces by D. Han, D. R. Larson, M. Papadakis, and Th. Stavropoulos Compactly supported refinable functions with infinite masks by G. Strang, V. Strela, and D.-X. Zhou Applications of the wavelet multiplicity function by E. Weber.
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