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: Louis Boutet de Monvel, Selected Works
  name:
    name part: Guillemin, Victor W.
    role:
      role term: editor.
  name:
    name part: Sjöstrand, Johannes.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VII, 852 p. 16 illus., 9 illus. in color. online resource.
  abstract: This book features a selection of articles by Louis Boutet de Monvel and presents his contributions to the theory of partial differential equations and analysis. The works selected here reveal his central role in the development of his field, including three cornerstones: firstly, analytic pseudodifferential operators, which have become a fundamental aspect of analytic microlocal analysis, and secondly the Boutet de Monvel calculus for boundary problems for elliptic partial differential operators, which is still an important tool also in index theory. Thirdly, Boutet de Monvel was one of the first people to recognize the importance of the existence of generalized functions, whose singularities are concentrated on a single ray in phase space, which led him to make essential contributions to hypoelliptic operators and to a very successful and influential calculus of Toeplitz operators with applications to spectral and index theory. Other topics treated here include microlocal analysis, star products and deformation quantization as well as problems in several complex variables, index theory and geometric quantization. This book will appeal to both experts in the field and students who are new to this subject.
  table of contents: Introduction -- Biography -- Commentary by B. Malgrange -- Elliptic boundary problems -- Analytic pseudodifferential operators -- Operators with double characteristics -- 6Bergman and Szegö kernels, CR analysis -- Toeplitz operators -- Star products and deformation quantization -- Miscellaneous -- Acknowledgements -- Addresses of contributors.
  note: edited by Victor W. Guillemin, Johannes Sjöstrand.
  subject:
    topic: Mathematics
  subject:
    topic: Operator theory
  subject:
    topic: Partial differential equations
  subject:
    topic: Functions of complex variables
  subject:
    topic: Mathematics
  subject:
    topic: Several Complex Variables and Analytic Spaces
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Operator Theory
  classification: QA331.7
  classification: 515.94
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Contemporary Mathematicians
  identifier: 9783319279091
  identifier: http://dx.doi.org/10.1007/978-3-319-27909-1
  record info:
    record creation date: 170505
    record change date: 20170505125410.0
    record identifier: 978-3-319-27909-1