Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Linear functional analysis /
.
Bookmark this Record
Catalogue Record 52456
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 52456
.
Reviews
Catalogue Record 52456
.
British Library
Resolver for RSN-52456
Google Scholar
Resolver for RSN-52456
WorldCat
Resolver for RSN-52456
Catalogo Nazionale SBN
Resolver for RSN-52456
GoogleBooks
Resolver for RSN-52456
ICTP Library
Resolver for RSN-52456
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
515/.7
Title
Linear functional analysis / ([EBook] ) / Joan Cerdà.
Author
Cerda, Joan, , 1942-
Publication
Providence, R.I. : : American Mathematical Society ; Madrid, Spain : : Real Sociedad Matemática Española, , c2010.
Physical Details
1 online resource (xiii, 330 p. : ill.)
Series
Graduate studies in mathematics
; 116
ISBN
9781470411787 (online)
Summary Note
"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 and unbounded operators, which is then used in an introduction to the basic axioms of quantum mechanics. The presentation is intended to be accessible to readers whose backgrounds include basic linear algebra, integration theory, and general topology. Almost 240 exercises will help the reader in better understanding the concepts employed."--Publisher's description.:
Contents note
Chapter 1. Introduction: Chapter 2. Normed spaces and operators: Chapter 3. Fréchet spaces and Banach theorems: Chapter 4. Duality: Chapter 5. Weak topologies: Chapter 6. Distributions: Chapter 7. Fourier transform and Sobolev spaces: Chapter 8. Banach algebras: Chapter 9. Unbounded operators in a Hilbert space: Hints to exercises:
Mode of acces to digital resource
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://www.ams.org/gsm/116
See Also
https://doi.org/10.1090/gsm/116
Links to Related Works
Subject References:
Functional Analysis
.
Vector spaces
.
Authors:
Cerda, Joan, 1942-
.
Series:
Graduate studies in mathematics
.
Classification:
515/.7
.
.
ISBD Display
Catalogue Record 52456
.
Tag Display
Catalogue Record 52456
.
Related Works
Catalogue Record 52456
.
Marc XML
Catalogue Record 52456
.
Add Title to Basket
Catalogue Record 52456
.
Catalogue Information 52456
Beginning of record
.
Catalogue Information 52456
Top of page
.
Download Title
Catalogue Record 52456
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
52456
1
52456
-
2
52456
-
3
52456
-
4
52456
-
5
52456
-
Quick Search
Search for