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Sobolev Type Decomposition of Paley-Wiener-Schwartz Space with Application to Sampling Theory [PDF]

, 2007
2000 Mathematics Subject Classification: 94A12, 94A20, 30D20, 41A05.We characterize Paley-Wiener-Schwartz space of entire functions as a union of three-parametric linear normed subspaces determined by the type of the entire functions, their polynomial ...
Dryanov, Dimiter
core

Universal Spatiotemporal Sampling Sets for Discrete Spatially Invariant Evolution Systems

, 2017
Let $(I,+)$ be a finite abelian group and $\mathbf{A}$ be a circular convolution operator on $\ell^2(I)$. The problem under consideration is how to construct minimal $\Omega \subset I$ and $l_i$ such that $Y=\{\mathbf{e}_i, \mathbf{A}\mathbf{e}_i, \cdots,
Tang, Sui
core +1 more source

Phase retrieval from low-rate samples [PDF]

, 2014
The paper considers the phase retrieval problem in N-dimensional complex vector spaces. It provides two sets of deterministic measurement vectors which guarantee signal recovery for all signals, excluding only a specific subspace and a union of subspaces,
Boche, Holger, Pohl, Volker, Yang, Fanny
core

Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures. [PDF]