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: Weyl Transforms
  name:
    name part: Wong, M. W.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 1998
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VIII, 160 p. online resource.
  abstract: This book is an outgrowth of courses given by me for graduate students at York University in the past ten years. The actual writing of the book in this form was carried out at York University, Peking University, the Academia Sinica in Beijing, the University of California at Irvine, Osaka University, and the University of Delaware. The idea of writing this book was ?rst conceived in the summer of 1989, and the protracted period of gestation was due to my daily duties as a professor at York University. I would like to thank Professor K. C. Chang, of Peking University; Professor Shujie Li, of the Academia Sinica in Beijing; Professor Martin Schechter, of the University of California at Irvine; Professor Michihiro Nagase, of Osaka University; and Professor M. Z. Nashed, of the University of Delaware, for providing me with stimulating environments for the exchange of ideas and the actual writing of the book. We study in this book the properties of pseudo-differential operators arising in quantum mechanics, ?rst envisaged in [33] by Hermann Weyl, as bounded linear 2 n operators on L (R ). Thus, it is natural to call the operators treated in this book Weyl transforms.
  table of contents: Prerequisite Topics in Fourier Analysis -- The Fourier-Wigner Transform -- The Wigner Transform -- The Weyl Transform -- Hilbert-Schmidt Operators on L2(?n) -- The Tensor Product in L2(?n) -- H*-Algebras and the Weyl Calculus -- The Heisenberg Group -- The Twisted Convolution -- The Riesz-Thorin Theorem -- Weyl Transforms with Symbols in Lr(?2n), 1 ? r ? 2 -- Weyl Transforms with Symbols in L?(?2n) -- Weyl Transforms with Symbols in Lr(?2n), 2 r < ? -- Compact Weyl Transforms -- Localization Operators -- A Fourier Transform -- Compact Localization Operators -- Hermite Polynomials -- Hermite Functions -- Laguerre Polynomials -- Hermite Functions on ? -- Vector Fields on ? -- Laguerre Formulas for Hermite Functions on ? -- Weyl Transforms on L2(?) with Radial Symbols -- Another Fourier Transform -- A Class of Compact Weyl Transforms on L2(?) -- A Class of Bounded Weyl Transforms on L2(?) -- A Weyl Transform with Symbol in S’(?2) -- The Symplectic Group -- Symplectic Invariance of Weyl Transforms.
  note: by M. W. Wong.
  subject:
    topic: Mathematics
  subject:
    topic: Topological groups
  subject:
    topic: Lie groups
  subject:
    topic: Mathematics
  subject:
    topic: Topological Groups, Lie Groups
  classification: QA252.3
  classification: QA387
  classification: 512.55
  classification: 512.482
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Universitext
  identifier: 9780387227788
  identifier: http://dx.doi.org/10.1007/b98973
  record info:
    record creation date: 100301
    record change date: 20151125021254.0
    record identifier: 978-0-387-22778-8