From the reachable space of the heat equation to Hilbert spaces of holomorphic functions

Journal of the European Mathematical Society ◽

10.4171/jems/989 ◽

2020 ◽

Vol 22 (10) ◽

pp. 3417-3440 ◽

Author(s):

Andreas Hartmann ◽

Karim Kellay ◽

Marius Tucsnak

Keyword(s):

Heat Equation ◽

Hilbert Spaces ◽

Holomorphic Functions ◽

Spaces Of Holomorphic Functions

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Hilbert spaces of holomorphic functions on bounded domains

manuscripta mathematica ◽

10.1007/bf01338662 ◽

1970 ◽

Vol 3 (3) ◽

pp. 305-314 ◽

Author(s):

Gerd Fischer

Keyword(s):

Hilbert Spaces ◽

Holomorphic Functions ◽

Bounded Domains ◽

Spaces Of Holomorphic Functions

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Homogeneous operators on Hilbert spaces of holomorphic functions

Journal of Functional Analysis ◽

10.1016/j.jfa.2007.12.014 ◽

2008 ◽

Vol 254 (9) ◽

pp. 2419-2436 ◽

Author(s):

Adam Korányi ◽

Gadadhar Misra

Keyword(s):

Hilbert Spaces ◽

Holomorphic Functions ◽

Spaces Of Holomorphic Functions ◽

Homogeneous Operators

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Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the application to the holomorphic discrete series of a Semisimple Lie group

Journal of Functional Analysis ◽

10.1016/0022-1236(73)90056-6 ◽

1973 ◽

Vol 13 (4) ◽

pp. 324-389 ◽

Author(s):

Hugo Rossi ◽

Michèle Vergne

Keyword(s):

Lie Group ◽

Hilbert Spaces ◽

Discrete Series ◽

Holomorphic Functions ◽

Semisimple Lie Group ◽

Solvable Lie Groups ◽

Holomorphic Discrete Series ◽

Spaces Of Holomorphic Functions

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FOURIER ANALYSIS OF OPERATORS ON HILBERT SPACES OF HOLOMORPHIC FUNCTIONS

Function Spaces ◽

10.1142/9789812704450_0016 ◽

2003 ◽

Author(s):

WOLFGANG LUSKY

Keyword(s):

Fourier Analysis ◽

Hilbert Spaces ◽

Holomorphic Functions ◽

Spaces Of Holomorphic Functions

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Hilbert spaces of holomorphic functions

The Dirichlet Space and Related Function Spaces - Mathematical Surveys and Monographs ◽

10.1090/surv/239/02 ◽

2019 ◽

pp. 11-33

Keyword(s):

Hilbert Spaces ◽

Holomorphic Functions ◽

Spaces Of Holomorphic Functions

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Equivalence of Palm measures for determinantal point processes associated with Hilbert spaces of holomorphic functions

Comptes Rendus Mathematique ◽

10.1016/j.crma.2015.03.018 ◽

2015 ◽

Vol 353 (6) ◽

pp. 551-555 ◽

Author(s):

Alexander I. Bufetov ◽

Yanqi Qiu

Keyword(s):

Hilbert Spaces ◽

Point Processes ◽

Holomorphic Functions ◽

Determinantal Point Processes ◽

Spaces Of Holomorphic Functions

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Möbius invariant Hilbert spaces of holomorphic functions in the unit ball of ${\bf C}\sp n$

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1991-0982233-8 ◽

1991 ◽

Vol 323 (2) ◽

pp. 823-842

Author(s):

Ke He Zhu

Keyword(s):

Unit Ball ◽

Hilbert Spaces ◽

Holomorphic Functions ◽

Spaces Of Holomorphic Functions

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Hilbert spaces of holomorphic functions, the Bergman kernel, and biholomorphic mappings

Graduate Studies in Mathematics - Function Theory of One Complex Variable ◽

10.1090/gsm/040/14 ◽

2006 ◽

pp. 413-446

Author(s):

Robert Greene ◽

Steven Krantz

Keyword(s):

Hilbert Spaces ◽

Bergman Kernel ◽

Holomorphic Functions ◽

Spaces Of Holomorphic Functions

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Standard Subspaces of Hilbert Spaces of Holomorphic Functions on Tube Domains

Communications in Mathematical Physics ◽

10.1007/s00220-021-04144-5 ◽

2021 ◽

Author(s):

Karl-Hermann Neeb ◽

Bent Ørsted ◽

Gestur Ólafsson

Keyword(s):

Hilbert Spaces ◽

Holomorphic Functions ◽

Spaces Of Holomorphic Functions ◽

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Hilbert Spaces of Holomorphic Functions

Analysis and Geometry on Complex Homogeneous Domains ◽

10.1007/978-1-4612-1366-6_2 ◽

2000 ◽

pp. 5-18

Author(s):

Jacques Faraut

Keyword(s):

Hilbert Spaces ◽

Holomorphic Functions ◽

Spaces Of Holomorphic Functions

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