Introduction to the Theory of Distributions 2024 pdf epub mobi 电子书


Introduction to the Theory of Distributions

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发表于2024-11-13

Introduction to the Theory of Distributions 2024 pdf epub mobi 电子书

Introduction to the Theory of Distributions 2024 pdf epub mobi 电子书

Introduction to the Theory of Distributions 2024 pdf epub mobi 电子书



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出版者:
作者:Friedlander, F. G./ Joshi, M. S.
出品人:
页数:188
译者:
出版时间:1999-1
价格:$ 59.89
装帧:
isbn号码:9780521649711
丛书系列:

图书标签: 广义函数  Mathematics  Math  2020  148广义函数  140分析  100数学   


Introduction to the Theory of Distributions 2024 pdf epub mobi 电子书 图书描述

The theory of distributions is an extension of classical analysis which has acquired a particular importance in the field of linear partial differential equations, as well as having many other applications, for example in harmonic analysis. Underlying it is the theory of topological vector spaces, but it is possible to give a systematic presentation without presupposing a knowledge, or using more than a bare minimum, of this. This book adopts this course and is based on graduate lectures given over a number of years. The prerequisites are few, but a reasonable degree of mathematical maturity is expected of the reader, as the treatment is rigorous throughout. From the outset the theory is developed in several variables, unlike most elementary texts; it is taken as far as such important topics as Schwartz kernels, the Paley-Wiener-Schwartz theorem and Sobolev spaces. In this second edition, the notion of the wavefront set of a distribution is introduced, which allows many operations on distributions to be extended to larger classes and gives much more precise understanding of the nature of the singularities of a distribution. This is done in an elementary fashion without using any involved theories. This account should therefore be useful to graduate students and research workers who are interested in the applications of analysis in mathematics and mathematical physics.

Introduction to the Theory of Distributions 2024 pdf epub mobi 电子书

Introduction to the Theory of Distributions 2024 pdf epub mobi 电子书
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