Electrical Harmonics and Applications with NEC 2008 Uploading Links Download

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Harmonic Analysis and Applications
This volume collects articles from coauthors, students, and colleagues of John, representative of some of the major areas that John has contributed to, including harmonic analysis, frame theory, time-frequency analysis, wavelet theory, and sampling theory and shift-invariant spaces. In recognition of John’s own high standards of mathematical exposition, and in order to create a volume of lasting utility, many of the articles in this volume include introductions to or surveys of their representative research directions. This chapter is an introduction to an open conjecture in time-frequency analysis on the linear independence of a finite set of time-frequency shifts of a given function. Background and motivation for the conjecture are provided in the form of a survey of related ideas, results, and open problems in frames, Gabor systems, and other aspects of time-frequency analysis, especially those related to independence. The partial results that are known to hold for the conjecture are also presented and discussed.
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