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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Hardy Martingales - Stochastic Holomorphy, L^1-Embeddings, and Isomorphic Invariants (Hardcover)
Loot Price: R3,510
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Hardy Martingales - Stochastic Holomorphy, L^1-Embeddings, and Isomorphic Invariants (Hardcover)
Series: New Mathematical Monographs
Expected to ship within 12 - 17 working days
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This book presents the probabilistic methods around Hardy
martingales for an audience interested in their applications to
complex, harmonic, and functional analysis. Building on work of
Bourgain, Garling, Jones, Maurey, Pisier, and Varopoulos, it
discusses in detail those martingale spaces that reflect
characteristic qualities of complex analytic functions. Its
particular themes are holomorphic random variables on Wiener space,
and Hardy martingales on the infinite torus product, and numerous
deep applications to the geometry and classification of complex
Banach spaces, e.g., the SL estimates for Doob's projection
operator, the embedding of L1 into L1/H1, the isomorphic
classification theorem for the polydisk algebras, or the real
variables characterization of Banach spaces with the analytic Radon
Nikodym property. Due to the inclusion of key background material
on stochastic analysis and Banach space theory, it's suitable for a
wide spectrum of researchers and graduate students working in
classical and functional analysis.
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