Properties and Operations
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Properties and Operations

SKU: 9781483261591

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Additional information

Full Title

Properties and Operations
Author(s)

I. M. Gel\'fand, G. E. Shilov
Edition
ISBN

9781483261591, 9781483229768
Publisher

Academic Press
Format

PDF and EPUB

Description

Generalized Functions, Volume 1: Properties and Operations provides a systematic development of the theory of generalized functions and problems in analysis connected with it. This book focuses on the concept of a convenient link that connects many aspects of analysis, functional analysis, theory of differential equations, representation theory of locally compact Lie groups, and theory of probability and statistics. This volume is essentially devoted to algorithmic questions of the theory, covering many applications of generalized functions to various problems of analysis. The topics discussed include the local properties of generalized functions, differentiation as a continuous operation, and Fourier Transforms of test functions. The wave equation in space of odd dimension, derivation of Green’s theorem, and reducible singular points are also described. This publication is a good reference for mathematicians, researchers, and students concerned with generalized functions.

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