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Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications (Translations of Mathematical Monographs) - Hardcover
Synopsis
This book studies translation-invariant function spaces and algebras on homogeneous manifolds. The central topic is the relationship between the homogeneous structure of a manifold and the class of translation-invariant function spaces and algebras on the manifold. Agranovskii obtains classifications of translation-invariant spaces and algebras of functions on semisimple and nilpotent Lie groups, Riemann symmetric spaces, and bounded symmetric domains. When such classifications are possible, they lead in many cases to new characterizations of the classical function spaces, from the point of view of their group of admissible changes of variable. The algebra of holomorphic functions plays an essential role in these classifications when a homogeneous complex or $CR$-structure exists on the manifold. This leads to new characterizations of holomorphic functions and their boundary values for one- and multidimensional complex domains.
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Language Notes
Text: English (translation)
Original Language: Russian
Review
Very well written and nicely translated. --Zentralblatt für Mathematik
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Invariant Function Spaces on Homogenous Manifolds of Lie Groups and Applications
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MP-AMM American Mathematical, 1993
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ISBN 13: 9780821846049
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Invariant Function Spaces on Homogenous Manifolds of Lie Groups and Applications
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American Mathematical Society, US, 1993
ISBN 10: 0821846043
ISBN 13: 9780821846049
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Hardback. Condition: New. This book studies translation-invariant function spaces and algebras on homogeneous manifolds. The central topic is the relationship between the homogeneous structure of a manifold and the class of translation-invariant function spaces and algebras on the manifold. Agranovskii obtains classifications of translation-invariant spaces and algebras of functions on semisimple and milpotent Lie groups, Riemann symmetric spaces, and bounded symmetric domains. When such classifications are possible, they lead in many cases to new characterizations of the classical function spaces, from the point of view of their group of admissible changes of variable. The algebra of holomorphic functions plays an essential role in these classifications when a homogeneous complex or $CR$-structure exists on the manifold. This leads to new characterizations of holomorphic functions and their boundary values for one- and multidimensional complex domains. Seller Inventory # LU-9780821846049
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Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications
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Amer Mathematical Society, 1993
ISBN 10: 0821846043
ISBN 13: 9780821846049
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Hardcover. Condition: Brand New. uk ed. edition. 131 pages. 10.25x7.25x0.50 inches. In Stock. Seller Inventory # __0821846043
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Invariant Function Spaces on Homogenous Manifolds of Lie Groups and Applications
Published by
American Mathematical Society, 1993
ISBN 10: 0821846043
ISBN 13: 9780821846049
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Hardcover
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Condition: New. Studies translation-invariant function spaces and algebras on homogeneous manifolds. This book focuses on topic of the relationship between the homogeneous structure of a manifold and the class of translation-invariant function spaces and algebras on the manifold. It obtains algebras of functions on semisimple and milpotent Lie groups. Series: Translations of Mathematical Monographs. Num Pages: 131 pages. BIC Classification: PBG; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 260 x 184. Weight in Grams: 482. . 1993. Hardback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821846049
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Invariant Function Spaces on Homogenous Manifolds of Lie Groups and Applications
Published by
American Mathematical Society, 1993
ISBN 10: 0821846043
ISBN 13: 9780821846049
New
Hardcover
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
Condition: New. Studies translation-invariant function spaces and algebras on homogeneous manifolds. This book focuses on topic of the relationship between the homogeneous structure of a manifold and the class of translation-invariant function spaces and algebras on the manifold. It obtains algebras of functions on semisimple and milpotent Lie groups. Series: Translations of Mathematical Monographs. Num Pages: 131 pages. BIC Classification: PBG; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 260 x 184. Weight in Grams: 482. . 1993. Hardback. . . . . Seller Inventory # V9780821846049
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Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications (Translations of Mathematical Monographs)
Published by
American Mathematical Society, 1993
ISBN 10: 0821846043
ISBN 13: 9780821846049
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Invariant Function Spaces on Homogenous Manifolds of Lie Groups and Applications
Published by
American Mathematical Society, US, 1993
ISBN 10: 0821846043
ISBN 13: 9780821846049
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Hardcover
Seller: Rarewaves.com UK, London, United Kingdom
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Hardback. Condition: New. This book studies translation-invariant function spaces and algebras on homogeneous manifolds. The central topic is the relationship between the homogeneous structure of a manifold and the class of translation-invariant function spaces and algebras on the manifold. Agranovskii obtains classifications of translation-invariant spaces and algebras of functions on semisimple and milpotent Lie groups, Riemann symmetric spaces, and bounded symmetric domains. When such classifications are possible, they lead in many cases to new characterizations of the classical function spaces, from the point of view of their group of admissible changes of variable. The algebra of holomorphic functions plays an essential role in these classifications when a homogeneous complex or $CR$-structure exists on the manifold. This leads to new characterizations of holomorphic functions and their boundary values for one- and multidimensional complex domains. Seller Inventory # LU-9780821846049
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