Research Catalog

Title

Mathematical scattering theory / Hellmut Baumgärtel, Manfred Wollenberg.

Author

Baumgärtel, Hellmut

Publication

Basel [Switzerland] ; Boston : Birkhäuser, 1983.

Items in the Library & Off-site

Details

Additional Authors

Wollenberg, Manfred, 1942-

Description

449 pages; 24 cm

Series Statement

Operator theory, advances and applications ; OT 9

Uniform Title

Operator theory, advances and applications ; v. 9.

Subject

• Scattering (Mathematics)
• Operator theory
• Hilbert space
• Verstrooiing
• Operatortheorie
• Hilbertruimten
• SCATTERING
• OPERATORS (MATHEMATICS)
• HILBERT SPACE

Note

• Includes index.

Bibliography (note)

• Bibliography: p. [420]-447.

Contents

Part I. Selfadjoint operators in Hilbert spaces -- Preliminaries -- Multiplicity theory -- Spectral theory -- Direct integrals and spectral representations -- Operator spectral integrals -- Part II. Algebras of asymptotic constants -- General theory of asymptotic constants -- Special classes of asymptotic constants -- The invariance of wave morphisms and wave algebras -- Part III. Two-space wave operators and scattering operators -- Elementary Theory of wave and scattering operators -- Identification operators -- Structural properties of wave and scattering operators -- Lax-Phillips evolutions and two-spaces wave operators -- Stationary theory -- Part IV. Existence and completeness of wave operators -- Stationary methods -- Time-falloff methods -- Trace class methods -- Smooth perturbations -- Part V. Some properties of the scattering operator, the scattering matrix, and the scattering amplitude -- Representations of the scattering operator and the scattering amplitude, and the analyticity properties of the scattering amplitude -- Spectral properties of the scattering amplitude.

ISBN

• 3764315199
• 9783764315191

LCCN

83011854

OCLC

• ocm09622325
• 9622325
• SCSB-63428

Owning Institutions

Princeton University Library