Spectral Theory of Families of Self-Adjoint Operators: 57 (Mathematics and its Applications, 57) - Hardcover

Samoilenko, Anatolii M.

 
9780792307037: Spectral Theory of Families of Self-Adjoint Operators: 57 (Mathematics and its Applications, 57)

Synopsis

'Et moi, ... , si j'avait su comment en revenir, One service mathematics has rendered the human race. It has put common sense back je n'y serais point aile.' where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be Eric T. Bell able to do something with it. O. Hcaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics seNe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One seIVice topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'j~tre of this series.

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Synopsis

This volume deals with structure theorems and models for finite and countable families of self-adjoint operators, which satisfy commutative, non-commutative, Lie and more general relations. Such families are studied because of their relation to mathematical models of quantum systems in theoretical physics, representation theory of Lie groups and Lie algebras, (in particular, 'large' Lie algebras), and representation of infinitesimal objects of these supergroups and super algebras. The methods employed are those of commutative and non-commutative probability theory. For mathematicians and physicists whose work involves spectral theory, Lie algebras and probability theory. The book will also be of use to those interested in mathematical models of quantum systems.

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Other Popular Editions of the Same Title

9789401056939: Spectral Theory of Families of Self-Adjoint Operators: 57 (Mathematics and its Applications, 57)

Featured Edition

ISBN 10:  9401056935 ISBN 13:  9789401056939
Publisher: Springer, 2013
Softcover