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: Meromorphic Inner Functions and their Applications
  name:
    name part: Rupam, Rishika
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Poltoratski, Alexei
    name part: 1966-
    role:
      role term: thesis advisor.
  name:
    name part: Texas A & M University
    role:
      role term: degree granting institution.
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: txu
    date issued: 2015
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource.
  abstract: In this dissertation we study an important class of functions in complex analysis, known as Meromorphic Inner Functions (MIF) and we exploit their properties to solve problems from mathematical physics. In the first part, we answer an old problem, first studied by Louis de Branges about a property of the derivative of MIFs on the real line. We use the theory of Clark measures to solve this problem with the aid of complex and harmonic analysis theory. In the second part, we study the spectral properties of the Schrödinger operator. Certain inverse spectral problems in this area can be translated into the language of complex analysis and we use the injectivity of Toeplitz operators to solve these problems. The electronic version of this dissertation is accessible from http://hdl.handle.net/1969.1/155377
  note: by Rishika Rupam.
  note: "Major Subject: Mathematics"
  note: Includes vita.
  note: Doctor of Philosophy Texas A & M University 2015 http://hdl.handle.net/1969.1/155377
  note: Includes bibliographical references.
  note: Text (Dissertation)
  subject:
    topic: Major Mathematics
  subject:
    topic: Inner functions
  subject:
    topic: Hardy spaces
  subject:
    topic: Inverse spectral
  subject:
    topic: Schrodinger
  identifier: http://hdl.handle.net/1969.1/155377
  record info:
    record content source: TXA
    record creation date: 160817
    record change date: 20170926141809.0
    record identifier: in00003746467
    language of cataloging:
      language term: eng