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Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.
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Holomorphic Functions in the Plane and n-dimensional Space
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Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or
Introduction to the Theory of Analytic Spaces
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Holomorphic Automorphism Groups in Banach Spaces
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Holomorphic Automorphism Groups in Banach Spaces