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Operator Commutation Relations

Commutation Relations for Operators, Semigroups, and Resolvents with Applications to Mathematical Physics and Representations of Lie Groups

Jezik AngleščinaAngleščina
Knjiga Mehka
Knjiga Operator Commutation Relations P.E.T. J
Koda Libristo: 02183806
Založba Springer Netherlands, december 2011
In his Retiring Presidential address, delivered before the Annual Meeting of The American Mathematic... Celoten opis
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In his Retiring Presidential address, delivered before the Annual Meeting of The American Mathematical Society on December, 1948, the late Professor Einar Hille spoke on his recent results on the Lie theory of semigroups of linear transformations, . . "So far only commutative operators have been considered and the product law . . . is the simplest possible. The non-commutative case has resisted numerous attacks in the past and it is only a few months ago that any headway was made with this problem. I shall have the pleasure of outlining the new theory here; it is a blend of the classical theory of Lie groups with the recent theory of one-parameter semigroups. " The list of references in the subsequent publication of Hille's address (Bull. Amer. Math . Soc. 56 (1950)) includes pioneering papers of I. E. Segal, I. M. Gelfand, and K. Yosida. In the following three decades the subject grew tremendously in vitality, incorporating a number of different fields of mathematical analysis. Early papers of V. Bargmann, I. E. Segal, L. G~ding, Harish-Chandra, I. M. Singer, R. Langlands, B. Konstant, and E. Nelson developed the theoretical basis for later work in a variety of different applications: Mathematical physics, astronomy, partial differential equations, operator algebras, dynamical systems, geometry, and, most recently, stochastic filtering theory. As it turned out, of course, the Lie groups, rather than the semigroups, provided the focus of attention.

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O knjigi

Polni naslov Operator Commutation Relations
Jezik Angleščina
Vezava Knjiga - Mehka
Datum izida 2011
Število strani 493
EAN 9789400963306
ISBN 9400963300
Koda Libristo 02183806
Teža 748
Mere 152 x 229 x 26
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