Reflection positivity : a representation theoretic perspective /: a representation theoretic perspective. (2018)
- Record Type:
- Book
- Title:
- Reflection positivity : a representation theoretic perspective /: a representation theoretic perspective. (2018)
- Main Title:
- Reflection positivity : a representation theoretic perspective
- Further Information:
- Note: Karl-Hermann Neeb, Gestur Ólafsson.
- Authors:
- Neeb, Karl-Hermann
Ólafsson, Gestur - Contents:
- Preface -- Introduction -- Reflection positive Hilbert spaces -- Reflection positive Hilbert spaces -- Reflection positive subspaces as graphs -- The Markov condition -- Reflection positive kernels and distributions -- Reflection positivity in Riemannian geometry -- Selfadjoint extensions and reflection positivity -- Reflection positive representations -- The OS transform of linear operators -- Symmetric Lie groups and semigroups -- Reflection positive representations -- Reflection positive functions -- Reflection positivity on the real line -- Reflection positive functions on intervals -- Reflection positive one-parameter groups -- Reflection positive operator-valued functions -- A connection to Lax-Phillips scattering theory -- Reflection positivity on the circle -- Positive definite functions satisfying KMS conditions -- Reflection positive functions and KMS conditions -- Realization by resolvents of the Laplacian -- Integration of Lie algebra representations -- A geometric version of Fr¨ohlich's Selfadjointness Theorem -- Integrability for reproducing kernel spaces -- Representations on spaces of distributions -- Reflection positive distributions and representations -- Reflection positive distribution vectors -- Distribution vectors -- Reflection positive distribution vectors -- Spherical representation of the Lorentz group -- Generalized free fields -- Lorentz invariant measures on the light cone and their relatives -- From the Poincar´e group to the euclidean group --Preface -- Introduction -- Reflection positive Hilbert spaces -- Reflection positive Hilbert spaces -- Reflection positive subspaces as graphs -- The Markov condition -- Reflection positive kernels and distributions -- Reflection positivity in Riemannian geometry -- Selfadjoint extensions and reflection positivity -- Reflection positive representations -- The OS transform of linear operators -- Symmetric Lie groups and semigroups -- Reflection positive representations -- Reflection positive functions -- Reflection positivity on the real line -- Reflection positive functions on intervals -- Reflection positive one-parameter groups -- Reflection positive operator-valued functions -- A connection to Lax-Phillips scattering theory -- Reflection positivity on the circle -- Positive definite functions satisfying KMS conditions -- Reflection positive functions and KMS conditions -- Realization by resolvents of the Laplacian -- Integration of Lie algebra representations -- A geometric version of Fr¨ohlich's Selfadjointness Theorem -- Integrability for reproducing kernel spaces -- Representations on spaces of distributions -- Reflection positive distributions and representations -- Reflection positive distribution vectors -- Distribution vectors -- Reflection positive distribution vectors -- Spherical representation of the Lorentz group -- Generalized free fields -- Lorentz invariant measures on the light cone and their relatives -- From the Poincar´e group to the euclidean group -- The conformally invariant case -- Reflection positivity and stochastic processes -- Reflection positive group actions on measure spaces -- Stochastic processes indexed by Lie groups -- Associated positive semigroup structures and reconstruction -- A Background material -- A.1 Positive definite kernels -- A.2 Integral representations -- Index. … (more)
- Publisher Details:
- Cham, Switzerland : Springer
- Publication Date:
- 2018
- Extent:
- 1 online resource (viii, 139 pages)
- Subjects:
- 512/.22
Mathematics
Representations of groups
Mathematical physics
MATHEMATICS / Algebra / Intermediate
Mathematical physics
Representations of groups
Science -- Quantum Theory
Science -- Mathematical Physics
Mathematics -- Mathematical Analysis
Mathematics -- Probability & Statistics -- General
Statistical physics
Mathematical physics
Complex analysis, complex variables
Probability & statistics
Topological Groups
Harmonic analysis
Distribution (Probability theory)
Mathematics -- Group Theory
Groups & group theory
Electronic books - Languages:
- English
- ISBNs:
- 9783319947556
3319947559 - Related ISBNs:
- 9783319947549
3319947540 - Notes:
- Note: Includes bibliographical references and index.
Note: Online resource; title from PDF title page (EBSCO, viewed July 16, 2018) - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.374667
- Ingest File:
- 02_355.xml