Harmonic Analysis, Signal Processing, And Complexity

by ; ; ;
Format: Hardcover
Pub. Date: 2005-07-01
Publisher(s): Birkhauser
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Summary

Carlos A. Berenstein has had a profound influence on scholars and practitioners alike amid a distinguished mathematical career spanning nearly four decades. His uncommon capability of adroitly moving between these parallel worlds is demonstrated by the breadth of his research interests, from his early theoretical work on interpolation in spaces of entire functions with growth conditions and residue theory to his later work on deconvolution and its applications to issues ranging from optics to the study of blood flow. This volume, which celebrates his sixtieth birthday, reflects the state-of-the-art in these areas. Original articles and survey articles, all refereed, cover topics in harmonic and complex analysis, as well as more applied work in signal processing.Contributors: C.A. Berenstein; R.W. Braun; O. Calin; D-C. Chang; G. Dafni; L. Ehrenpreis; G. Kaiser; C.O. Kiselman; P. Krishnaprasad; B.Q. Li; B. Matt; R. Meise; D. Napoletani; R. Poovendran; Y. Qiao; J. Ryan; C. Sadosky; D.C. Struppa; B.A. Taylor; J. Tie; D.F. Walnut; and A. Yger.

Table of Contents

Preface ix
Some Novel Aspects of the Cauchy Problem
Leon Ehrenpreis
1(14)
Analytic and Algebraic Ideas: How to Profit from Their Complementarity
Alain Yger
15(14)
On Certain First-Order Partial Differential Equations in Cn
Carlos A. Berenstein, Bao Qin Li
29(8)
Hermite Operator on the Heisenberg Group
Ovidiu Cahn, Der-Chen Chang, Jingzhi Tie
37(18)
A Div-Curl Lenuna in BMO on a Domain
Der-Chen Chang, Galia Dafni, Cora Sadosky
55(12)
Subharmonic Functions on Discrete Structures
Christer O. Kiselman
67(14)
Nearly Hyperbolic Varieties and Phragmén-Lindelöf Conditions
R.W. Braun, R. Meise, B.A. Taylor
81(16)
Sampling and Local Deconvolution
David F. Walnut
97(14)
Orthogonal Projections on Hyperbolic Space
Yuying Qiao, John Ryan
111(10)
Eigenwavelets of the Wave Equation
Gerald Kaiser
121(14)
Security Analysis and Extensions of the PCB Algorithm for Distributed Key Generation
Radha Poovendran, Brian Matt
135(16)
Quotient Signal Estimation
D. Napoletani, C.A. Berenstein, P. Krishnaprasad, D.C. Struppa
151

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