Titlebook: Recent Advances in Fourier Analysis and Its Applications; J. S. Byrnes,Jennifer L. Byrnes Book 1990 Kluwer Academic Publisher 1990 Fourier

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Recent Advances in Fourier Analysis and Its Applications978-94-009-0665-5Series ISSN 1389-2185

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Fourier Transform in Non-Euclidean Space and its Applications to PhysicsIn this paper we shortly discuss the theory of Fourier transform on the non-Euclidean space and show how to generalize it to enable us to solve the Dirac equations on the Friedmann - Robertson - Walker space-times. We also indicate possible application of the theory to the description of strong interactions.

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Computations in X-Ray CrystallographyIn normalized coordinates, the electron density . of a crystal is a function of . ∈ .., the Euclidean 3-space, that satisfies the .,.We can write .(.) as a Fourier series. where . = (..,..,..), r = (..,..,..). The complex constants. are called ..

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A New Approach to Irregular Sampling of Band-Limited FunctionsThis is a report on joint work in progress [10,11,12] on irregular sampling by H. G. Feichtinger, University of Vienna, and the author.

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