Representations of infinite-dimensional groups

書誌事項

Representations of infinite-dimensional groups

R.S. Ismagilov ; [translated by D. Deart from an original Russian manuscript]

(Translations of mathematical monographs, v. 152)

American Mathematical Society, c1996

タイトル別名

Представления бесконечномерныx групп

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注記

Includes bibliographical references

内容説明・目次

内容説明

This text is devoted to representations of two classes of infinite-dimensional groups: current groups and diffeomorphism groups. The author presents a complete treatment of the subject, including general methods for constructing irreducible representations of infinite-dimensional groups and general results about such representations. He also exhibits deep relations between representations of infinite-dimensional groups and the theory of Fock spaces, the theory of point random processes, and other branches of mathematics.

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