rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Orthogonal systems and convolution operators
  name:
    name part: Ellis, Robert
    name part: 1938-
    role:
      role term: creator
  name:
    name part: Gohberg, I. (Israel)
    name part: 1928-2009
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 2003
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: preservation
    reformatting quality: access
    form: remote
    extent: 1 online resource (xvi, 236 pages)
  abstract: The main concern of this book is the distribution of zeros of polynomials that are orthogonal on the unit circle with respect to an indefinite weighted scalar or inner product. The first theorem of this type, proved by M.G. Krein, was a far-reaching generalization of G. Szegö's result for the positive definite case. A continuous analogue of that theorem was proved by Krein and H. Langer. These results, as well as many generalizations and extensions, are thoroughly treated in this book. A unifying theme is the general problem of orthogonalization with invertible squares in modules over C*-algebras. Particular modules that are considered in detail include modules of matrices, matrix polynomials, matrix-valued functions, linear operators, and others. One of the central features of this book is the interplay between orthogonal polynomials and their generalizations on the one hand, and operator theory, especially the theory of Toeplitz marices and operators, and Fredholm and Wiener-Hopf operators, on the other hand. The book is of interest to both engineers and specialists in analysis.
  table of contents: Ch. 1. Orthogonal Polynomials and Krein's Theorem -- Ch. 2. Reformulations of Krein's Theorem -- Ch. 3. Inner Products on Modules and Orthogonalization with Invertible Squares -- Ch. 4. Orthogonal Matrix Polynomials -- Ch. 5. Special Class of Block Toeplitz Matrices -- Ch. 6. Orthogonal Operator-Valued Polynomials: First Generalization
  note: Robert L. Ellis, Israel Gohberg.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages [227]-231) and indexes.
  subject:
    topic: Orthogonalization methods
  subject:
    topic: Convolutions (Mathematics)
  subject:
    topic: Convolutions (Mathematics)
  subject:
    topic: Orthogonalization methods
  classification: QA404.5 .E38 2003
  classification: 515/.55
  related item:
    identifier: (DLC) 2002038599
    identifier: (OCoLC)50859128
  related item:
    title info:
      title: Operator theory, advances and applications ; v. 140
  identifier: 3764369299 (alk. paper)
  identifier: 9783764369293 (alk. paper)
  identifier: 0817669299 (alk. paper)
  identifier: 9780817669294 (alk. paper)
  identifier: 9783034880459 (electronic bk.)
  identifier: 3034880456 (electronic bk.)
  identifier: 9783034894180
  identifier: 303489418X
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 140314
    record change date: 20260422155647.7
    record identifier: in00003546717
    language of cataloging:
      language term: eng