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Generalized Functions, Operator Theory, and Dynamical Systems by Ioannis Antoniou; Günter Lumer is a book available to read on EtoBox.

What is Generalized Functions, Operator Theory, and Dynamical Systems about?

In his preface to the present volume, Professor Ilya Prigogine (Nobel prize winner) says: ‘Irreversibility is a challenge to mathematics...(which) leads to generalized functions and to an extension of spectral analysis beyond the conventional Hilbert space theory.’ This volume, a collective work by mathematicians and physicists, which grew out of a workshop-symposium held at the Solvay Institutes of Physics and Chemistry in January of 1997, corresponds largely to that program. Contributions/results include: hyperfunctions (with a simplified, direct, approach), delta-expansions and their applications to singular evolution problems; relations with ultradistnbutions and other generalized functions; spectral theory on spaces often more complicated than Hilbert spaces, rigged Hilbert spaces; semigroups of operators and evolution equations in sup-norm and general Banach spaces; quantum physics; irreversibility in classical and quantum systems; thermodynamical limits of classical systems; chaotic and singular dynamical systems, resonances, nondetectable signals; as well as related technological problems, and new methods in numerical analysis.

Author

Ioannis Antoniou; Günter Lumer

Publisher

CRC Press

Published

1999

Language

EN