Results 21 to 30 of about 351 (53)
Applications of M.G. Krein's Theory of Regular Symmetric Operators to Sampling Theory
, 2007 The classical Kramer sampling theorem establishes general conditions that allow the reconstruction of functions by mean of orthogonal sampling formulae. One major task in sampling theory is to find concrete, non trivial realizations of this theorem.
Akhiezer N I +14 more
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Approximation results in Orlicz spaces by modified sampling Kantorovich operators
Demonstratio MathematicaThis paper deals with the modified sampling Kantorovich operators. We start by presenting the primary notations of Orlicz spaces and fundamental auxiliary results.
Turgay Metin
doaj +1 more source
One-dimensional phase retrieval with additional interference measurements
, 2016 The one-dimensional phase retrieval problem consists in the recovery of a complex-valued signal from its Fourier intensity. Due to the well-known ambiguousness of this problem, the determination of the original signal within the extensive solution set is
Beinert, Robert
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Bessel orbits of normal operators
, 2016 Given a bounded normal operator $A$ in a Hilbert space and a fixed vector $x$, we elaborate on the problem of finding necessary and sufficient conditions under which $(A^kx)_{k\in\mathbb N}$ constitutes a Bessel sequence. We provide a characterization in
Philipp, Friedrich
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Geometric approach to sampling and communication [PDF]
, 2010 Relationships that exist between the classical, Shannon-type, and geometric-based approaches to sampling are investigated. Some aspects of coding and communication through a Gaussian channel are considered.
Eli Appleboim +3 more
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Accuracy of Algebraic Fourier Reconstruction for Shifts of Several Signals [PDF]
, 2014 We consider the problem of "algebraic reconstruction" of linear combinations of shifts of several known signals $f_1,\ldots,f_k$ from the Fourier samples.
Batenkov, Dmitry +2 more
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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
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Causality and Coextensiveness in Aristotle's Posterior Analytics 1.13 [PDF]
, 2018 I discuss an important feature of the notion of cause in Post. An. 1. 13, 78b13–28, which has been either neglected or misunderstood. Some have treated it as if Aristotle were introducing a false principle about explanation; others have understood the ...
Angioni, Lucas
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Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures. [PDF]
Entropy (Basel), 2022 Srivastava HM +3 more
europepmc +1 more source
Sampling Trajectories for the Short-Time Fourier Transform. [PDF]
J Fourier Anal Appl, 2022 Speckbacher M.
europepmc +1 more source