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A Course in Commutative Banach Algebras / Kaniuth, Eberhard

Tác giả : Kaniuth, Eberhard

Nhà xuất bản : Springer

Năm xuất bản : 2009

Mô tả vật lý : 362 p.

Số phân loại : 512.554

Chủ đề : 1. Mathematics. 2. Statistics ; Banach algebras ; Commutative algebra. 3. Book.

Thông tin chi tiết

Tóm tắt :

Requiring only a basic knowledge of functional analysis, topology, complex analysis, measure theory and group theory, this book provides a thorough and self-contained introduction to the theory of commutative Banach algebras. The core are chapters on Gelfand's theory, regularity and spectral synthesis. Special emphasis is placed on applications in abstract harmonic analysis and on treating many special classes of commutative Banach algebras, such as uniform algebras, group algebras and Beurling algebras, and tensor products. Detailed proofs and a variety of exercises are given. The book aims at graduate students and can be used as a text for courses on Banach algebras, with various possible specializations, or a Gelfand theory based course in harmonic analysis.

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https://repository.vnu.edu.vn/handle/VNU_123/30238