Matrix Positivity, Charles R. Johnson, Ronald L. Smith, Michael J. Ts

Автор: Khare, Apoorva (indian Institute Of Science, Bangalore)
Название: Matrix analysis and entrywise positivity preservers
ISBN: 1108792049 ISBN-13(EAN): 9781108792042
Издательство: Cambridge Academ
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Цена: 11088.00 р.
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Описание: This is the first book on matrix and kernel transforms preserving positivity structures. It is self-contained and only requires modest prerequisites in analysis and linear algebra. Covering deep results and modern progress, the book succeeds as an introduction for beginners and a comprehensive reference for experts.

Автор: Mariano Gasca; Charles A. Micchelli
Название: Total Positivity and Its Applications
ISBN: 079233924X ISBN-13(EAN): 9780792339243
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This volume contains articles that document the advances in the subject of total positivity since the 1970s. Some articles are of a survey nature while others present new results. Also, some papers contain introductory material aimed at non-experts interested in becoming familiar with the field.

Автор: Neeb
Название: Reflection Positivity
ISBN: 3319947540 ISBN-13(EAN): 9783319947549
Издательство: Springer
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Цена: 7685.00 р.
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Описание: 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.

Автор: Gerard Buskes; Marcel de Jeu; Peter Dodds; Anton S
Название: Positivity and Noncommutative Analysis
ISBN: 303010849X ISBN-13(EAN): 9783030108496
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Capturing the state of the art of the interplay between positivity, noncommutative analysis, and related areas including partial differential equations, harmonic analysis, and operator theory, this volume was initiated on the occasion of the Delft conference in honour of Ben de Pagter's 65th birthday. It will be of interest to researchers in positivity, noncommutative analysis, and related fields. Contributions by Shavkat Ayupov, Amine Ben Amor, Karim Boulabiar, Qingying Bu, Gerard Buskes, Martijn Caspers, Jurie Conradie, Garth Dales, Marcel de Jeu, Peter Dodds, Theresa Dodds, Julio Flores, Jochen Gl?ck, Jacobus Grobler, Wolter Groenevelt, Markus Haase, Klaas Pieter Hart, Francisco Hern?ndez, Jamel Jaber, Rien Kaashoek, Turabay Kalandarov, Anke Kalauch, Arkady Kitover, Erik Koelink, Karimbergen Kudaybergenov, Louis Labuschagne, Yongjin Li, Nick Lindemulder, Emiel Lorist, Qi L?, Miek Messerschmidt, Susumu Okada, Mehmet Orhon, Denis Potapov, Werner Ricker, Stephan Roberts, Pablo Rom?n, Anton Schep, Claud Steyn, Fedor Sukochev, James Sweeney, Guido Sweers, Pedro Tradacete, Jan Harm van der Walt, Onno van Gaans, Jan van Neerven, Arnoud van Rooij, Freek van Schagen, Dominic Vella, Mark Veraar, Anthony Wickstead, Marten Wortel, Ivan Yaroslavtsev, and Dmitriy Zanin.