Resolution of the Identity of the Classical Hardy Space by Means of Barut-Girardello Coherent States | Zendy

Zouhaı̈r Mouayn | Zendy

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Resolution of the Identity of the Classical Hardy Space by Means of Barut-Girardello Coherent States

Author(s) -

Zouhaı̈r Mouayn

Publication year - 2012

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2012/530473

Subject(s) - hardy space , square integrable function , identity (music) , space (punctuation) , fourier transform , resolution (logic) , mathematics , coherent states , integrable system , type (biology) , real line , pure mathematics , construct (python library) , line (geometry) , mathematical analysis , physics , quantum mechanics , geometry , computer science , quantum , ecology , artificial intelligence , acoustics , biology , programming language , operating system

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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