skip to content
Functional analysis, spectral theory, and applications Preview this item
ClosePreview this item
Checking...

Functional analysis, spectral theory, and applications

Author: Manfred Leopold Einsiedler; Thomas Ward
Publisher: Cham, Switzerland : Springer, 2017.
Series: Graduate texts in mathematics, 276.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl's law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Manfred Leopold Einsiedler; Thomas Ward
ISBN: 9783319585406 3319585401
OCLC Number: 1013954149
Description: 1 online resource (xiv, 614 pages) : illustrations.
Contents: Motivation --
Norms and Banach Spaces --
Hilbert Spaces, Fourier Series, Unitary Representations --
Uniform Boundedness and Open Mapping Theorem --
Sobolev Spaces and Dirichlet's Boundary Problem --
Compact Self-Adjoint Operators, Laplace Eigenfunctions --
Dual Spaces --
Locally Convex Vector Spaces --
Unitary Operators and Flows, Fourier Transform --
Locally Compact Groups, Amenability, Property (T) --
Banach Algebras and the Spectrum --
Spectral Theory and Functional Calculus --
Self-Adjoint and Symmetric Operators --
The Prime Number Theorem --
Appendix A: Set Theory and Topology --
Appendix B: Measure Theory --
Hints for Selected Problems --
Notes.
Series Title: Graduate texts in mathematics, 276.
Responsibility: Manfred Einsiedler, Thomas Ward.

Abstract:

This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl's law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao's approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study. Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.--

Reviews

Editorial reviews

Publisher Synopsis

"This is an attractive new textbook in functional analysis, aimed at ... graduate students. ... the large amount of material covered in this book ... as well its overall readability, makes it useful Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Related Subjects:(1)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/1013954149> # Functional analysis, spectral theory, and applications
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
    library:oclcnum "1013954149" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/sz> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/4173122074#Topic/functional_analysis> ; # Functional analysis
    schema:about <http://dewey.info/class/515.7/e23/> ;
    schema:author <http://experiment.worldcat.org/entity/work/data/4173122074#Person/ward_thomas_1963> ; # Thomas Ward
    schema:author <http://experiment.worldcat.org/entity/work/data/4173122074#Person/einsiedler_manfred_leopold_1973> ; # Manfred Leopold Einsiedler
    schema:bookFormat schema:EBook ;
    schema:datePublished "2017" ;
    schema:description "This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl's law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao's approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study. Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.--"@en ;
    schema:description "Motivation -- Norms and Banach Spaces -- Hilbert Spaces, Fourier Series, Unitary Representations -- Uniform Boundedness and Open Mapping Theorem -- Sobolev Spaces and Dirichlet's Boundary Problem -- Compact Self-Adjoint Operators, Laplace Eigenfunctions -- Dual Spaces -- Locally Convex Vector Spaces -- Unitary Operators and Flows, Fourier Transform -- Locally Compact Groups, Amenability, Property (T) -- Banach Algebras and the Spectrum -- Spectral Theory and Functional Calculus -- Self-Adjoint and Symmetric Operators -- The Prime Number Theorem -- Appendix A: Set Theory and Topology -- Appendix B: Measure Theory -- Hints for Selected Problems -- Notes."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/4173122074> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://worldcat.org/issn/0072-5285> ; # Graduate texts in mathematics ;
    schema:isSimilarTo <http://worldcat.org/entity/work/data/4173122074#CreativeWork/> ;
    schema:name "Functional analysis, spectral theory, and applications"@en ;
    schema:productID "1013954149" ;
    schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/10.1007/978-3-319-58540-6> ;
    schema:url <https://link.springer.com/openurl?genre=book&isbn=978-3-319-58539-0> ;
    schema:url <http://rave.ohiolink.edu/ebooks/ebc/9783319585406> ;
    schema:url <http://link.springer.com/10.1007/978-3-319-58540-6> ;
    schema:url <https://grinnell.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-58540-6> ;
    schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/book/10.1007/978-3-319-58540-6> ;
    schema:url <http://proxy.ohiolink.edu:9099/login?url=http://link.springer.com/10.1007/978-3-319-58540-6> ;
    schema:url <http://dx.doi.org/10.1007/978-3-319-58540-6> ;
    schema:workExample <http://dx.doi.org/10.1007/978-3-319-58540-6> ;
    schema:workExample <http://worldcat.org/isbn/9783319585406> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/1013954149> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/4173122074#Person/einsiedler_manfred_leopold_1973> # Manfred Leopold Einsiedler
    a schema:Person ;
    schema:birthDate "1973" ;
    schema:familyName "Einsiedler" ;
    schema:givenName "Manfred Leopold" ;
    schema:name "Manfred Leopold Einsiedler" ;
    .

<http://experiment.worldcat.org/entity/work/data/4173122074#Person/ward_thomas_1963> # Thomas Ward
    a schema:Person ;
    schema:birthDate "1963" ;
    schema:familyName "Ward" ;
    schema:givenName "Thomas" ;
    schema:name "Thomas Ward" ;
    .

<http://experiment.worldcat.org/entity/work/data/4173122074#Topic/functional_analysis> # Functional analysis
    a schema:Intangible ;
    schema:name "Functional analysis"@en ;
    .

<http://rave.ohiolink.edu/ebooks/ebc/9783319585406>
    rdfs:comment "Connect to resource" ;
    .

<http://worldcat.org/entity/work/data/4173122074#CreativeWork/>
    a schema:CreativeWork ;
    schema:description "Printed edition:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/1013954149> ; # Functional analysis, spectral theory, and applications
    .

<http://worldcat.org/isbn/9783319585406>
    a schema:ProductModel ;
    schema:isbn "3319585401" ;
    schema:isbn "9783319585406" ;
    .

<http://worldcat.org/issn/0072-5285> # Graduate texts in mathematics ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/1013954149> ; # Functional analysis, spectral theory, and applications
    schema:issn "0072-5285" ;
    schema:name "Graduate texts in mathematics ;" ;
    schema:name "Graduate texts in mathematics," ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.