Reflection Positivity by Gestur Olafsson - Bookswagon
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Reflection Positivity

Reflection Positivity


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About the Book

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.


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Product Details
  • ISBN-13: 9783319947549
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 234 mm
  • No of Pages: 139
  • Series Title: Springerbriefs in Mathematical Physics
  • Sub Title: A Representation Theoretic Perspective
  • Width: 156 mm
  • ISBN-10: 3319947540
  • Publisher Date: 09 Jul 2018
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Spine Width: 8 mm
  • Weight: 267 gr


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