Generalized Functions, Operator Theory, and Dynamical Systems /
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 formulat...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Chapman and Hall/CRC,
2021.
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| Edition: | 1st. |
| Series: | Chapman & Hall/CRC research notes in mathematics series ;
399 |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- An introduction to hyperfunctions and [delta]-expansions / G. Lumer
- Partial inner product spaces of analytic functions / J.-P. Antoine
- Rigged spectral states: a proclivity for eigenvalues / K. Gustafson
- Densities of singular measures and generalized spectral decompositions / I. Antoniou and Z. Suchanecki
- Convolution kernels and generalized functions / B. Baumer, G. Lumer and F. Neubrander
- Spectral theory of closed linear operators on Banach spaces from a locally convex point of view / V. Wrobel
- Ultradistributions and the Levinson Condition / I. Cioranescu and L. Zsido
- Representation of the derivatives and products of the delta function in Hilbert Space / Yu. Melnikov
- Series representations of the complex delta function / I. Antoniou, Z. Suchanecki and S. Tasaki
- Antieigenvalues: an extended spectral theory / K. Gustafson
- Laws of nature, probability and time symmetry breaking / I. Prigogine and T. Petrosky
- Extended spectral decompositions of evolution operators / I. Antoniou and S. Shkarin
- Some little things about rigged Hilbert Spaces and quantum mechanics and all that / A. Bohm, M. Gadella and S. Wickramasekara
- Axiomatics of thermodynamics and quantum chaos / V. Maslov
- Stochastic evolution on product manifolds / S. Albeverio, A. Daletskii and Yu. Kondratiev
- Interaction problems with distributions and hyperfunctions data / G. Lumer
- Absolute continuity of convolutions of singular measures and new branches of spectrum of Liouvillians and few-body Hamiltonians / L. Bos and B. Pavlov
- On scattering theories involving moving boundaries / G.F. Roach
- The eigenvalue problem for networks of beams / B. Dekoninck and S. Nicaise
- Generalized perturbations and operator relations / P. Kurasov and B. Pavlov
- On spectral analysis of a class of integral-difference collision operators / Yu. Melnikov
- Dynamical aspects of processes with long-range memory / M. Courbage.