Translated from the 1991 Russian monograph. The author discusses translation-invariant function spaces and algebras on homogeneous manifolds including semisimple and nilpotent Lie groups, Riemann symmetric spaces, and bounded symmetric domains. Various classes of translation-invariant spaces and algebras are classified. Applications to characterization problems for holomorphic functions in one and several complex variables and their boundary values are given. No index. Annotation copyright Book News, Inc. Portland, Or.
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Book by M L Agranovskii
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Hardback. Condizione: 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. Codice articolo LU-9780821846049
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Condizione: 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. . . . . Codice articolo V9780821846049
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Einband - fest (Hardcover). Condizione: 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 ma. Codice articolo 2298430280
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Condizione: 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. Codice articolo V9780821846049
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