Titlebook: Excursions in Harmonic Analysis, Volume 2; The February Fourier Travis D. Andrews,Radu Balan,Kasso A. Okoudjou Book 2013 Springer Science+B

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Mita Brahma,Shiv S. Tripathi,Subash Bijlaniach reduces certain filter optimization problems to optimization over a free parameter. While past constructions can be reproduced, results with additional optimality are also obtained and presented here with numerical examples. Tables of filter coefficients along with graphs are provided.

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Alan R. Templeton,Edward D. Rothmanfor the .-plane transform and related potential-type operators supported on .-planes is presented. Particular attention is given to the action of these operators on classes of radial functions, and applications to bounds for the Kakeya maximal operator are discussed.

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Class Schedule Problem: I-O-C ProblemSeveral examples illustrate the use of the new inequalities. Although motivated by problems in quantum mechanics, these results may also find applications in time-frequency analysis, a valuable cross-fertilization that has been profitably used at various times in the past.

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Xuejun Liao,Yan Zhang,Lawrence Carinecent results concerning the symbolic calculus and mapping properties of bilinear pseudo-differential operators..The author would like to thank Professor John Benedetto for his inspiration and constant support as well as the organizers of the FFT for their kind invitation and hospitality.

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Visible and Invisible Cantor Setsof dimensionless Cantor sets (i.e., a Cantor set for which any translation invariant measure is either 0 or non-σ-finite) that enables us to show that the collection of these sets is also dense in the set of all compact subsets of a Polish space ..

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Mixed-Norm Estimates for the ,-Plane Transformfor the .-plane transform and related potential-type operators supported on .-planes is presented. Particular attention is given to the action of these operators on classes of radial functions, and applications to bounds for the Kakeya maximal operator are discussed.

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