Functional Analysis for the Applied Sciences /

This advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications. Special attention is paid to creating appropriate frameworks towards solving significant problems involving diﬀerential and integral equat...

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Bibliographic Details
Main Author:	Moroşanu, Gheorghe (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2019.
Edition:	1st ed. 2019.
Series:	Universitext,
Subjects:	Functional analysis. Partial differential equations. Differential equations. Integral equations. Algebras, Linear. Functional Analysis. Partial Differential Equations. Ordinary Differential Equations. Integral Equations. Linear Algebra. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1. Introduction
2. Metric Spaces
3. The Lebesgue Integral and Lp Spaces
4. Continuous Linear Operators and Functionals
5. Distributions, Sobolev Spaces
6. Hilbert Spaces
7. Adjoint, Symmetric and Self-adjoint Linear Operators
8. Eigenvalues and Eigenvectors
9. Semigroups of Linear Operators
10. Solving Linear Evolution Equations by the Fourier Method
11. Integral Equations
12. Answers to Exercises
Bibliography.