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Linear Functional Analysis by Joan Cerdà is a nonfiction available to read on EtoBox.

What is Linear Functional Analysis about?

Functional analysis studies the algebraic, geometric, and topological structures of spaces and operators that underlie many classical problems. Individual functions satisfying specific equations are replaced by classes of functions and transforms that are determined by the particular problems at hand. This book presents the basic facts of linear functional analysis as related to fundamental aspects of mathematical analysis and their applications. The exposition avoids unnecessary terminology and generality and focuses on showing how the knowledge of these structures clarifies what is essential in analytic problems. The material in the first part of the book can be used for an introductory course on functional analysis, with an emphasis on the role of duality. The second part introduces distributions and Sobolev spaces and their applications. Convolution and the Fourier transform are shown to be useful tools for the study of partial differential equations. Fundamental solutions and Green's functions are considered and the theory is illustrated with several applications. In the last chapters, the Gelfand transform for Banach algebras is used to present the spectral theory of bounded

Who reads Linear Functional Analysis?

Author

Joan Cerdà

Publisher

American Mathematical Society ; Real Sociedad Matemática Española

Published

2010

Language

EN

ISBN

9780821851159

Category

nonfiction

Subjects

Mathematics, Functional Analysis, Stem