A Course in distribution theory and applications

This book provides a systematic exposition of the basic ideas and results of distribution theory and its applications to Fourier analysis and partial differential equations without using much sophisticated concepts of functional analysis. The book covers important topics: basis properties of distrib...

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Bibliographic Details
Main Author: Pathak, R.S.
Format: Book
Language:Undetermined
Published: Pangbourne, U.K. Alpha Science International 2001
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Institutions: Trung tâm Học liệu Trường Đại học Cần Thơ
Description
Summary:This book provides a systematic exposition of the basic ideas and results of distribution theory and its applications to Fourier analysis and partial differential equations without using much sophisticated concepts of functional analysis. The book covers important topics: basis properties of distributions, convolution, Fourier transforms, Sobolev spaces, weak solutions, distributions on locally convex spaces and on differentiable manifolds.