Elements of Functional Analysis (Paperback)

Language: English

Published by Springer Nature Switzerland AG, Cham, 2026

3032292093 / 9783032292094

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Paperback. Functional analysis can be understood as a shift, within mathematical analysis, from the study of individual functions to the study of function spaces, their structures, and the mappings between them. Developed primarily during the 20th century, this theory continues to be essential for the study of partial differential equations.This textbook begins with the general theory: Banach spaces, Hilbert spaces, and the spectral theory of operators. It then proceeds to a thorough account of Schwartzs Theory of Distributions and some of its applications, such as the fundamental solutions of classical operators in physics, the MalgrangeEhrenpreis Theorem, hypoelliptic operators, and the Schroedinger equation. An extensive chapter is dedicated to the study of Sobolev spaces, including functions of bounded variation. These spaces provide the appropriate framework for the study of elliptic boundary value problems, which form the focus of the final chapter.Drawing on years of teaching experience, this textbook is ideal for introductory graduate courses, featuring historical notes and numerous exercises that reinforce learning and complement the core material. Functional analysis can be understood as a shift, within mathematical analysis, from the study of individual functions to the study of function spaces, their structures, and the mappings between them. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Title
Elements of Functional Analysis (Paperback)
Author
Jose M. Mazon
Publisher
Springer Nature Switzerland AG, Cham
Publication year
2026
Condition
new
Binding
Paperback
Language
English
ISBN 10
3032292093
ISBN 13
9783032292094

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