An Advanced Complex Analysis Problem Book

DOI10.1007/978-3-319-16059-7zbMath1350.46001OpenAlexW4244697445MaRDI QIDQ5249296

Daniel Alpay

Publication date: 30 April 2015

Full work available at URL: https://doi.org/10.1007/978-3-319-16059-7

zbMATH Keywords

Hardy spaceBergman spaceFock spacereproducing kernel Hilbert spacetopological vector spacede Branges-Rovnyak spaceoperators on function spaces

Mathematics Subject Classification ID

Hilbert spaces of continuous, differentiable or analytic functions (46E20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable (30-01) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01) Spaces and algebras of analytic functions of one complex variable (30Hxx)

Related Items (14)

An approach to the Gaussian RBF kernels via Fock spaces ⋮ Bounded extremal problems in Bergman and Bergman-Vekua spaces ⋮ Generalized white noise analysis and topological algebras ⋮ Generalized Fock spaces and the Stirling numbers ⋮ Beurling-Lax type theorems and Cuntz relations ⋮ Superoscillations and Fock spaces ⋮ On the Mittag Leffler Bargmann (MLB) transform ⋮ EXPANDING THE LAURENT SERIES WITH ITS APPLICATIONS ⋮ Adaptive orthonormal systems for matrix-valued functions ⋮ Herglotz functions: the Fueter variables case ⋮ On slice polyanalytic functions of a quaternionic variable ⋮ On Some Extremal Problems for Analytic Functions with Constraints on Real or Imaginary Parts ⋮ The polyanalytic reproducing kernels ⋮ Reproducing kernel Hilbert spaces of polyanalytic functions of infinite order

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