Titlebook: Harmonic Analysis and Applications; In Honor of John J. Christopher Heil Book 2006 Birkhäuser Boston 2006 Benedetto, John J..distribution.

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Semidiscrete Multipliersce of sequences on a discrete subgroup . of . on the other hand, with the property that it commutes with shifts by .. We describe the basic form of such operators and show a number of representation theorems for classical spaces like .., .., etc..We also point out parallels to representation theorems for multipliers.

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A Physical Interpretation of Tight Framesity” which completely characterizes those sequences which arise as the lengths of a tight frame’s elements. Furthermore, using concepts from classical physics, we show that this characterization has an intuitive physical interpretation.

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Recent Developments in the Balian-Low Theorem-frequency localization of generating functions of Gabor orthonormal bases, it has become a synonym for many general and abstract problems in time-frequency analysis. In this chapter we present some of the directions in which the Balian-Low Theorem has been extended in recent years.

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Gabor Duality Characterizationsch reformulation by Janssen and by Daubechies, Landau, and Landau are well known. A concise overview of existing Gabor duality characterizations is presented. In particular, we demonstrate that the Gabor duality conditions by Wexler and Raz [.] and by Daubechies, Landau, and Landau [.], and the parametric dual Gabor formula of [.] are equivalent.

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https://doi.org/10.1007/0-8176-4504-7Benedetto, John J; ; distribution; frame theory; harmonic analysis; sampling theory; shift-invariant space

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George Benkew the model’s convergence to stable macroscopic behaviour cycles is related to the localized rule parameters.We illustrate how an animat agent population of predators and prey can evolve more effective individuals by applying genetic algorithms to the species rule-sets and how our model framework an

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Akram Aldroubi,Carlos Cabrelli,Ursula Molterrences in initial resource endowments. We would restate the inequality question more provocatively by asking: Is poverty deliberate?.The CasinoWorld model presented in this paper uses agent-based simulation modeling in an attempt to overcome the limitations of standard equilibrium models. We use the

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Book 2006process. John’s ?rst paper appeared in 1965, when he was 25 years old, and his ?rst book (the Springer Lecture Notes on Harmonic Analysis on Totally D- connected Sets) when he was 31. By that time he had already published on the subjects of Tauberian algebras, in the theory of generalized functions,