Fractional functions and their representations

DOI10.1007/S11785-011-0154-1zbMath1285.46024OpenAlexW1968474859MaRDI QIDQ371842

Luis Filipe Pinheiro de Castro, Saburou Saitoh

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-011-0154-1

zbMATH Keywords

convolutionHilbert spacebest approximationreproducing kernelTikhonov regularizationnorm inequalityMoore-Penrose generalized inversefractional functionlinear mappinglinear transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Kernel functions in one complex variable and applications (30C40) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (4)

Classification of continuous fractional binary operations on the real and complex fields ⋮ A complete classification of continuous fractional operations on \(\mathbb C\) ⋮ A Reproducing Kernel Theory with Some General Applications ⋮ Solutions of Tikhonov functional equations and applications to multiplication operators on Szegő spaces

Cites Work

• General inhomogeneous discrete linear partial differential equations with constant coefficients on the whole spaces
• Beurling-type representation of invariant subspaces in reproducing kernel Hilbert spaces
• Carathéodory Fejér interpolation in the ball with mixed derivatives
• Fundamental iterated convolution inequalities in weighted Lp spaces and their applications
• Some applications of convolution inequalities in weightedL_pspaces
• Fundamental inequalities for the iterated Laplace convolution in weightedL_pspaces and their applications
• On some reverse weighted L_p(ℝ^n)-norm inequalities in convolutions and their applications
• Interpolation for multipliers on reproducing kernel Hilbert spaces
• Numerical real inversion of the Laplace transform by reproducing kernel and multiple-precision arithmetic
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