Operators and Tikhonov regularization on the Fock space

DOI10.1080/10652469.2013.839666zbMath1285.32002OpenAlexW1966042360MaRDI QIDQ5404138

Fethi Soltani

Publication date: 21 March 2014

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2013.839666

zbMATH Keywords

reproducing kernelTikhonov regularizationToeplitz operatorsFock spaceextremal functiontranslation operators

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Bergman spaces of functions in several complex variables (32A36) Entire functions of several complex variables (32A15)

Related Items (4)

Uncertainty principles of Heisenberg type for the Bargmann transform ⋮ Analytical and numerical approximation formulas for the Fourier multiplier operators ⋮ APPLICATIONS ON THE BESSEL-STRUVE-TYPE FOCK SPACE ⋮ Analytical and numerical applications for the Fourier multiplier operators on ℝⁿ× (0, ∞)

Cites Work

• Some results on Tchebycheffian spline functions and stochastic processes
• Best approximation, Tikhonov regularization and reproducing kernels
• Toeplitz and Translation Operators on the q-Fock Spaces
• The weierstrass transform and an isometry in the heat equation
• On a Hilbert space of analytic functions and an associated integral transform part I
• Approximate real inversion formulas of the gaussian convolution
• Approximate and analytical inversion formulas in heat conduction on multidimensional spaces

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