Reflection positivity : a representation theoretic perspective /: a representation theoretic perspective. (2018)

• Record Type: Book
• 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 -- 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.
• 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.