Hankel-type Segal-Bargmann transform and its applications to UP and PDEs

DOI10.1007/s40590-023-00564-6zbMath1527.30038OpenAlexW4387846429MaRDI QIDQ6070436

Publication date: 21 November 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-023-00564-6

zbMATH Keywords

uncertainty inequalities time-dependent Schrödinger equations Hankel-type Segal-Bargmann transform time-dependent Dirac equations

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Time-dependent Schrödinger equations and Dirac equations (35Q41) Bergman spaces and Fock spaces (30H20)

Cites Work

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Uncertainty principles for the Dunkl-type Segal-Bargmann transform
A generalized Radon transform on the plane
Generalized Fock spaces and Weyl relations for the Dunkl kernel on the real line
Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates
Heat ``polynomials for a singular differential operator on (0,\(\infty)\)
Generalized Hermite polynomials and the heat equation for Dunkl operators
Yang-Mills theory and the Segal-Bargmann transform
The uncertainty principle: A mathematical survey
The solutions of the \(n\)-dimensional Bessel diamond operator and the Fourier-Bessel transform of their convolution
Estimate of the Fourier-Bessel multipliers for the poly-axially operator
Analytic Bergman operators in the semiclassical limit
Uncertainty principles for the Dunkl-Wigner transforms
Estimates for the Fourier-Bessel transforms of multivariate functions
Analysis on Fock Spaces
Toeplitz Operators on the Segal-Bargmann Space
On a Hilbert space of analytic functions and an associated integral transform part I
Generalized Fock Spaces and Associated Operators
Bounds for fidelity of semiclassical Lagrangian states in Kähler quantization
HEISENBERG–PAULI–WEYL UNCERTAINTY INEQUALITY FOR THE DUNKL TRANSFORM ON ℝ^d
Linear and nonlinear Bessel potentials associated with the Poly-axially operator
Some integral operators and their relation to multidimensional Fourier-Bessel transform on L_α²(ℝ₊ⁿ) and applications
Fock空间上的测不准原理
Inversion formulas for the Dunkl-type Segal–Bargmann transform
Wave kernels for the Dirac, Euler operators and the harmonic oscillator
On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
The Wigner transformation associated with the Hankel multidimensional operator
Calderón's reproducing formulas for the poly-axially L_α²-multiplier operators

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