Coherent state transforms attached to generalized Bargmann spaces on the complex plane
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Publication:3094625
DOI10.1002/mana.200910191zbMath1228.35011arXiv1003.5421OpenAlexW2016631411MaRDI QIDQ3094625
Publication date: 25 October 2011
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.5421
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Cites Work
- Unnamed Item
- Spectral properties of the Cauchy transform on \(L_2(\mathbb C,e^{-|z|^2}\lambda(z))\)
- Bounds on the Segal-Bargmann transform of \(L^p\) functions
- A generating function for Hermite polynomials associated with Euclidean Landau levels
- On a Hilbert space of analytic functions and an associated integral transform part I
- Harmonic Analysis in Phase Space. (AM-122)
- Espaces de Bargmann généralisés et formules explicites pour leurs noyaux reproduisants
- Coherent states associated with the wavefunctions and the spectrum of the isotonic oscillator
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