25 citations · 98 across the 44 of their papers we have counts for
50 papers
Reconstruction of solutions to abstract Schrodinger, diffusion, and wave-type equations from snapshots
Isaac Z. Pesenson
It is shown that if one knows "sufficiently many" snapshots (samples) from an individual solution of a Schrödinger-type equation-which is bandlimited in an appropriate sense-then t…
Notes on Bernstein spaces, sampling, Boas interpolation formulas and their extensions to Banach spaces
Isaac Pesenson
This paper is essentially a survey on several classical results of harmonic analysis and their recent extensions to Banach spaces. The first part of the paper is a summary of some…
Exact positive cubature formulas via generalized sampling on combinatorial graphs
Isaac Pesenson
We consider a disjoint cover (partition) of an undirected weighted finite graph by connected subgraphs (clusters) and select a function …
To Multidimensional Mellin Analysis: Besov spaces, -functor, approximations, frames
Isaac Z. Pesenson
In the setting of the multidimensional Mellin analysis we introduce moduli of continuity and use them to define Besov-Mellin spaces. We prove that Besov-Mellin spaces are the inter…
Bernstein spaces, sampling, and Riesz-Boas interpolation formulas in Mellin Analysis
Isaac Z. Pesenson
The goal of the paper is to consider Bernstein-Mellin subspaces in the Lebesgue-Mellin spaces and establishing for functions in these subspaces new sampling theorems and Riesz-Boas…
Sampling and interpolation for the discrete Hilbert and Kak-Hilbert transforms
Isaac Pesenson
The goal of the paper is to obtain analogs of the sampling theorems and of the Riesz-Boas interpolation formulas which are relevant to the Discrete Hilbert and Kak-Hilbert transfor…