Generalized Functions, Operator Theory, and Dynamical Systems
1st Edition
Published on 23. December 1998
Book
Paperback/Softback
392 pages
978-0-8493-0619-8 (ISBN)
Description
Nobel prize winner Ilya Prigogine writes in his preface: "Irreversibility is a challenge to mathematics...[which] leads to generalized functions and to an extension of spectral analysis beyond the conventional Hilbert space theory." Meeting this challenge required new mathematical formulations-obstacles met and largely overcome thanks primarily to the contributors to this volume."
This compilation of works grew out of material presented at the "Hyperfunctions, Operator Theory and Dynamical Systems" symposium at the International Solvay Institutes for Physics and Chemistry in 1997. The result is a coherently organized collective work that moves from general, widely applicable mathematical methods to ever more specialized physical applications. Presented in two sections, part one describes Generalized Functions and Operator Theory, part two addresses Operator Theory and Dynamical Systems.
The interplay between mathematics and physics is now more necessary than ever-and more difficult than ever, given the increasing complexity of theories and methods. Here the topics include:
This compilation of works grew out of material presented at the "Hyperfunctions, Operator Theory and Dynamical Systems" symposium at the International Solvay Institutes for Physics and Chemistry in 1997. The result is a coherently organized collective work that moves from general, widely applicable mathematical methods to ever more specialized physical applications. Presented in two sections, part one describes Generalized Functions and Operator Theory, part two addresses Operator Theory and Dynamical Systems.
The interplay between mathematics and physics is now more necessary than ever-and more difficult than ever, given the increasing complexity of theories and methods. Here the topics include:
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Professional
Dimensions
Height: 254 mm
Width: 178 mm
Weight
690 gr
ISBN-13
978-0-8493-0619-8 (9780849306198)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Ioannis Antoniou | Gunter Lumer
Generalized Functions, Operator Theory, and Dynamical Systems
E-Book
02/2021
1st Edition
Chapman & Hall/CRC
€251.99
Available for download
Ioannis Antoniou | Gunter Lumer
Generalized Functions, Operator Theory, and Dynamical Systems
E-Book
02/2021
1st Edition
Chapman & Hall/CRC
€251.99
Available for download
Persons
Ioannis Antoniou (Author) G. Lumer (Author)
Content
Part I: Generalized Functions and Operator TheoryAn Introduction to Hyperfunctions and ?-expansions, G. LumerPartial Inner Product Spaces of Analytic Functions, J.-P. AntoineRigged Spectral States: A Proclivity for Eigenvalues, K. GustafsonDensities of Singular Measures and Generalized Spectral Decompositions, I. Antoniou and Z. SuchaneckiConvolution Kernels and Generalized Functions, B. Baeumer, G. Lumer, and F. NeubranderSpectral Theory of Closed Linear Operators on Banach Spaces from a Locally Convex Point of View, V. WrobelUltradistributions and the Levinson Condition, I. Cioranescu and L. ZsidoRepresentation of the Derivatives and Products of the Delta Function in Hilbert Space, Yu. MelnikovSeries Representations of the Complex Delta Function, I. Antoniou, Z. Suchanecki, and S. TasakiAntieigenvalues: An Extended Spectral Theory, K. GustafsonPart II: Operator Theory and Dynamical SystemsLaws of Nature, Probability, and Time Symmetry Breaking, I. Prigogine and T. PetroskyExtended Spectral Decompositions of Evolution Operators, I. Antoniou and S. ShkarinSome Little Things About Rigged Hilbert Spaces and Quantum Mechanics and All That, A. Bohm, M. Gadella, and S. WickramasekaraAxiomatics of Thermodynamics and Quantum Chaos, V. MaslovStochastic Evolution on Product Manifolds. S. Albeverio, A. Daletskii, and Yu. KondratievInteraction Problems with Distributions and Hyperfunctions Data, G. LumerAbsolute Continuity of Convolutions of Singular Measures and New Branches of Spectrum of Liouvillians and Few-Body Hamiltonians, L Bos and B PavlovOn Scattering Theories Involving Moving Boundaries, G. F. RoachThe Eigenvalue Problem for Networks of Beams, B Dekoninck and S NicaiseGeneralized Perturbations and Operator Relations, P Kurasov and B PavlovOn Spectral Analysis of a Class of Integral-Difference Collision Operators, Yu. MelnikivDynamical Aspects of Processes with Long-Range Memor