Composition of Segal–Bargmann transforms
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Publication:4634272
DOI10.1080/17476933.2018.1487412zbMath1411.44002arXiv1611.01338OpenAlexW2963269212MaRDI QIDQ4634272
Kamal Diki, Abdelhadi Benahmadi, Allal Ghanmi
Publication date: 7 May 2019
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.01338
Bargmann-Fock spaceslice regular functionsSegal-Bargmann transformslice hyperholomorphic Bargmann-Fock space
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Special families of functions of several complex variables (32A17) Holomorphic functions of several complex variables (32A10)
Related Items (2)
Bivariate poly-analytic Hermite polynomials ⋮ Bicomplex analogs of Segal-Bargmann and fractional Fourier transforms
Cites Work
- A quaternionic analogue of the Segal-Bargmann transform
- Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
- Lectures on Gaussian integral operators and classical groups
- Clifford coherent state transforms on spheres
- Extending coherent state transforms to Clifford analysis
- Analysis on Fock Spaces
- Regular Functions of a Quaternionic Variable
- The Fock Space in the Slice Hyperholomorphic Setting
- Coherent state transforms and the Weyl equation in Clifford analysis
- On a Hilbert space of analytic functions and an associated integral transform part I
- Harmonic Analysis in Phase Space. (AM-122)
- Segal-Bargmann-Fock modules of monogenic functions
- Quantum Theory for Mathematicians
- Slice Segal–Bargmann transform
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