Transform analysis of generalized functions [electronic resource] / O.P. Misra and J.L. Lavoine.
Material type: TextSeries: North-Holland mathematics studies ; 119. | Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 106.Publication details: Amsterdam ; New York : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1986. Description: 1 online resource (xiv, 332 p.) : illISBN: 9780444878854; 0444878858Subject(s): Theory of distributions (Functional analysis) | Transformations (Mathematics) | Distributions, Th�eorie des (Analyse fonctionnelle) | Transformations (Math�ematiques) | Theory of distributions (Functional analysis) | Transformations (Mathematics)Genre/Form: Electronic books.Additional physical formats: Print version:: Transform analysis of generalized functions.DDC classification: 515.7/82 LOC classification: QA1 | .N86 no. 106 | QA324ebOnline resources: ScienceDirect | Volltext Summary: Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions. It gives a unified treatment of the distributional setting with transform analysis, i.e. Fourier, Laplace, Stieltjes, Mellin, Hankel and Bessel Series. Included are accounts of applications of the theory of integral transforms in a distributional setting to the solution of problems arising in mathematical physics. Information on distributional solutions of differential, partial differential equations and integral equations is conveniently collected here. The volume will serve as introductory and reference material for those interested in analysis, applications, physics and engineering.Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions. It gives a unified treatment of the distributional setting with transform analysis, i.e. Fourier, Laplace, Stieltjes, Mellin, Hankel and Bessel Series. Included are accounts of applications of the theory of integral transforms in a distributional setting to the solution of problems arising in mathematical physics. Information on distributional solutions of differential, partial differential equations and integral equations is conveniently collected here. The volume will serve as introductory and reference material for those interested in analysis, applications, physics and engineering.
Includes bibliographical references (p. 315-327).
Includes indexes.
Description based on print version record.
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