25 citations · 98 across the 44 of their papers we have counts for
39 papers · 1 filter
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…
Jackson theorem and modulus of continuity in Hilbert spaces and on homogeneous manifolds
Isaac Z. Pesenson
We consider a Hilbert space equipped with a set of strongly continuous bounded semigroups satisfying certain conditions. The conditions allow to define a family of moduli…
A Weak Weyl's Law on compact metric measure spaces
Isaac Z. Pesenson
The well known Weyl's Law (Weyl's asymptotic formula) gives an approximation to the number of eigenvalues (counted with multiplicities) on a large interval $[0,\>ω]…