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Generalized Functions, Volume 1
Language: en
Pages: 423
Authors: I. M. Gel′fand
Categories: Theory of distributions (Functional analysis)
Type: BOOK - Published: 2016-04-19 - Publisher: American Mathematical Soc.

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he first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earl
Methods of the Theory of Generalized Functions
Language: en
Pages: 332
Authors: V. S. Vladimirov
Categories: Mathematics
Type: BOOK - Published: 2002-08-15 - Publisher: CRC Press

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This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transform
Generalized Functions Theory and Technique
Language: en
Pages: 474
Authors: Ram P. Kanwal
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This second edition of Generalized Functions has been strengthened in many ways. The already extensive set of examples has been expanded. Since the publication
Spaces of Fundamental and Generalized Functions
Language: en
Pages: 272
Authors: I. M. Gel'Fand
Categories: Mathematics
Type: BOOK - Published: 2013-09-03 - Publisher: Academic Press

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Spaces of Fundamental and Generalized Functions, Volume 2, analyzes the general theory of linear topological spaces. The basis of the theory of generalized func
Generalized Functions and Fourier Analysis
Language: en
Pages: 276
Authors: Michael Oberguggenberger
Categories: Mathematics
Type: BOOK - Published: 2017-05-06 - Publisher: Birkhäuser

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This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably