The method of rigged spaces in singular perturbation theory of selfadjoint operators
Resource Information
The work The method of rigged spaces in singular perturbation theory of selfadjoint operators represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
The method of rigged spaces in singular perturbation theory of selfadjoint operators
Resource Information
The work The method of rigged spaces in singular perturbation theory of selfadjoint operators represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 The method of rigged spaces in singular perturbation theory of selfadjoint operators
 Statement of responsibility
 Volodymyr Koshmanenko, Mykola Dudkin
 Language

 eng
 ukr
 eng
 Summary
 This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in singular perturbation theory. A key notion of this approach is the LaxBerezansky triple of Hilbert spaces embedded one into another, which specifies the wellknown Gelfand topological triple. All kinds of singular interactions described by potentials supported on small sets (like the Dirac epotentials, fractals, singular measures, high degree supersingular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the BirmanKreinVishik theory of selfadjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces. The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems.
 Assigning source
 Provided by publisher
 Cataloging source
 N$T
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA372
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Operator theory: Advances and applications,
 Series volume
 volume 253
Context
Context of The method of rigged spaces in singular perturbation theory of selfadjoint operatorsWork of
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/resource/z4G77iFNIF8/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/resource/z4G77iFNIF8/">The method of rigged spaces in singular perturbation theory of selfadjoint operators</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Work The method of rigged spaces in singular perturbation theory of selfadjoint operators
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/resource/z4G77iFNIF8/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/resource/z4G77iFNIF8/">The method of rigged spaces in singular perturbation theory of selfadjoint operators</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>