Analytic Kramer sampling and quasi Lagrange-type interpolation in vector valued RKHS
DOI10.1007/S00025-024-02260-XMaRDI QIDQ6616855
Santanu Sarkar, Subhankar Mahapatra
Publication date: 9 October 2024
Published in: Results in Mathematics (Search for Journal in Brave)
multiplication operatorvector valued de Branges spacesabstract analytic Kramer samplinggeneralized backward shift operatorquasi Lagrange-type interpolation
Spaces of vector- and operator-valued functions (46E40) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Sampling theory in information and communication theory (94A20) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- On analytic sampling theory
- On Lagrange-type interpolation series and analytic Kramer kernels
- A note on the analytic form of the Kramer sampling theorem
- A generalized sampling theorem with the inverse of an arbitrary square summable sequence as sampling points
- The Fourier theory of the cardinal function.
- Multivariate prediction, de Branges spaces, and related extension and inverse problems
- Sampling theory associated with a symmetric operator with compact resolvent and de Branges spaces
- An introduction to the theory of reproducing kernel Hilbert spaces
- On Lagrange Interpolation and Kramer-Type Sampling Theorems Associated with Sturm–Liouville Problems
- Sampling in a Hilbert space
- Sampling and Interpolation Problems for Vector Valued Signals in the Paley–Wiener Spaces
- On sampling theory associated with the resolvents of singular Sturm-Liouville problems
- Sampling expansions for functions having values in a Banach space
- A Generalized Sampling Theorem
- Vector valued de Branges spaces of entire functions based on pairs of Fredholm operator valued functions and functional model
This page was built for publication: Analytic Kramer sampling and quasi Lagrange-type interpolation in vector valued RKHS
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6616855)