• The Method Of Rigged Spaces In Singular Perturbation Theory Of Self Adjoint Operators

The Method Of Rigged Spaces In Singular Perturbation Theory Of Self Adjoint Operators

The Method Of Rigged Spaces In Singular Perturbation Theory Of Self Adjoint Operators

( from 245 reviews )
  • Author
    Volodymyr Koshmanenko
  • Publisher
    Birkhäuser
  • Publication date
    08 July 2016

UNLIMITED BOOKS, ALL IN ONE PLACE. FREE TO TRY 30 DAYS. SUBSCRIBE TO READ OR DOWNLOAD EBOOK FOR FREE. START YOUR FREE MONTH NOW!

eBook includes PDF, ePub, Mobi, Tuebl and Kindle version
FREE registration for 1 month TRIAL Account. DOWNLOAD as many books as you like (Personal use). CANCEL the membership at ANY TIME if not satisfied. Join Over 550.000 Happy Readers.

All secure, we guaranted 100% privacy and your information is safe
Recent Activity
Loading...

Loading ...

Loading...

Book Detail

  • Book Title

    The Method Of Rigged Spaces In Singular Perturbation Theory Of Self Adjoint Operators

  • Author

    Volodymyr Koshmanenko

  • Date Published

    08 July 2016

  • Publisher

    Birkhäuser

  • Pages

    237 pages

  • ISBN

    9783319295350

Book Description

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 Lax-Berezansky triple of Hilbert spaces embedded one into another, which specifies the well-known Gelfand topological triple.

All kinds of singular interactions described by potentials supported on small sets (like the Dirac δ-potentials, fractals, singular measures, high degree super-singular 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 Birman-Krein-Vishik theory of self-adjoint 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.

© euro-book.net 2021

1108 Members Online