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Resolution of the identity of the classical Hardy space by means of Barut-Girardello coherent states - MaRDI portal

Resolution of the identity of the classical Hardy space by means of Barut-Girardello coherent states (Q454487)

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scientific article; zbMATH DE number 6092162
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Resolution of the identity of the classical Hardy space by means of Barut-Girardello coherent states
scientific article; zbMATH DE number 6092162

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    Resolution of the identity of the classical Hardy space by means of Barut-Girardello coherent states (English)
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    8 October 2012
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    Summary: We construct a one-parameter family of coherent states of Barut-Girdrardello type performing a resolution of the identity of the classical Hardy space of complex-valued square integrable functions on the real line, whose Fourier transform is supported by the positive real semiaxis.
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    Hardy space
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    Bergman space
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    integral transform
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