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.
The 15 papers from the January 1999 session reflect the trend towards using more abstract tools from operator theory and Von Neumann algebras to study both wavelets and frames. Among the topics are reconstruction of vector and tensor fields from sampled discrete data, density and redundancy of the noncoherent Weyl-Heisenberg superframes, convergence of the cascade algorithm at irregular scaling function, frames for Banach spaces, a module frame concept for Hilbert C*- modules, and compactly supported refinable functions with infinite masks. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Book Details
Published
January 27, 2000
Publisher
Providence, RI : American Mathematical Society, 1999.
