Hilbert spaces of analytic functions and generalized coherent states

M. Arik

doi:10.1063/1.522937

Hilbert spaces of analytic functions and generalized coherent states

Journal of Mathematical Physics ◽

10.1063/1.522937 ◽

1976 ◽

Vol 17 (4) ◽

pp. 524 ◽

Cited By ~ 436

Author(s):

M. Arik

Keyword(s):

Hilbert Spaces ◽

Analytic Functions ◽

Coherent States ◽

Generalized Coherent States ◽

Spaces Of Analytic Functions

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Generalised coherent states and group representations on Hilbert spaces of analytic functions

Journal of Physics A General Physics ◽

10.1088/0305-4470/16/1/001 ◽

1983 ◽

Vol 16 (1) ◽

pp. L1-L3 ◽

Cited By ~ 32

Author(s):

C C Gerry

Keyword(s):

Hilbert Spaces ◽

Analytic Functions ◽

Coherent States ◽

Group Representations ◽

Spaces Of Analytic Functions

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Hilbert spaces of analytic functions for the SL(2,R) coherent states and a class of associated integral transforms

Journal of Mathematical Physics ◽

10.1063/1.530434 ◽

1994 ◽

Vol 35 (7) ◽

pp. 3612-3623 ◽

Cited By ~ 4

Author(s):

Debabrata Basu

Keyword(s):

Hilbert Spaces ◽

Analytic Functions ◽

Coherent States ◽

Integral Transforms ◽

Spaces Of Analytic Functions

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Carleson measures for Hilbert spaces of analytic functions on the complex half-plane

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.08.019 ◽

2017 ◽

Vol 445 (1) ◽

pp. 476-497 ◽

Cited By ~ 3

Author(s):

Andrzej S. Kucik

Keyword(s):

Half Plane ◽

Hilbert Spaces ◽

Analytic Functions ◽

Carleson Measures ◽

Complex Half Plane ◽

Spaces Of Analytic Functions

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The Expansion Theorem for Hilbert Spaces of Analytic Functions

Topics in Operator Theory Systems and Networks ◽

10.1007/978-3-0348-5425-2_3 ◽

1984 ◽

pp. 75-107 ◽

Cited By ~ 1

Author(s):

Louis Branges

Keyword(s):

Hilbert Spaces ◽

Analytic Functions ◽

Expansion Theorem ◽

Spaces Of Analytic Functions

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Hilbert spaces of analytic functions associated with generating functions of spherical functions on $U\left( n \right) / U\left( {n - 1} \right)$

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.70.323 ◽

1994 ◽

Vol 70 (10) ◽

pp. 323-325 ◽

Cited By ~ 1

Author(s):

Shigeru Watanabe

Keyword(s):

Hilbert Spaces ◽

Generating Functions ◽

Analytic Functions ◽

Spherical Functions ◽

Spaces Of Analytic Functions

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Generating functions of the Jacobi polynomials and related Hilbert spaces of analytic functions

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.74.46 ◽

1998 ◽

Vol 74 (3) ◽

pp. 46-48 ◽

Cited By ~ 2

Author(s):

Shigeru Watanabe

Keyword(s):

Hilbert Spaces ◽

Generating Functions ◽

Analytic Functions ◽

Jacobi Polynomials ◽

Spaces Of Analytic Functions

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Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions

Journal of Functional Analysis ◽

10.1016/j.jfa.2020.108834 ◽

2021 ◽

Vol 280 (3) ◽

pp. 108834

Author(s):

Pascal Lefèvre ◽

Daniel Li ◽

Hervé Queffélec ◽

Luis Rodríguez-Piazza

Keyword(s):

Hilbert Spaces ◽

Analytic Functions ◽

Composition Operators ◽

Singular Numbers ◽

Spaces Of Analytic Functions

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Co-Isometric Weighted Composition Operators on Hilbert Spaces of Analytic Functions

Results in Mathematics ◽

10.1007/s00025-020-01253-w ◽

2020 ◽

Vol 75 (3) ◽

Author(s):

María J. Martín ◽

Alejandro Mas ◽

Dragan Vukotić

Keyword(s):

Hilbert Spaces ◽

Analytic Functions ◽

Composition Operators ◽

Weighted Composition Operators ◽

Weighted Composition ◽

Spaces Of Analytic Functions

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On interpolation and sampling in Hilbert spaces of analytic functions.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1995.464.109 ◽

1995 ◽

Vol 1995 (464) ◽

pp. 109-128 ◽

Cited By ~ 1

Keyword(s):

Hilbert Spaces ◽

Analytic Functions ◽

Spaces Of Analytic Functions

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Adjoints of composition operators on Hilbert spaces of analytic functions

Journal of Functional Analysis ◽

10.1016/j.jfa.2006.04.024 ◽

2006 ◽

Vol 238 (1) ◽

pp. 298-312 ◽

Cited By ~ 10

Author(s):

María J. Martín ◽

Dragan Vukotić

Keyword(s):

Hilbert Spaces ◽

Analytic Functions ◽

Composition Operators ◽

Spaces Of Analytic Functions

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