Results 21 to 30 of about 371 (43)
Sampling Theorem and Discrete Fourier Transform on the Hyperboloid [PDF]
, 2010 Using Coherent-State (CS) techniques, we prove a sampling theorem for holomorphic functions on the hyperboloid (or its stereographic projection onto the open unit disk $\mathbb D_1$), seen as a homogeneous space of the pseudo-unitary group SU(1,1).
Calixto, Manuel +2 more
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Metric duality between positive definite kernels and boundary processes
, 2017 We study representations of positive definite kernels $K$ in a general setting, but with view to applications to harmonic analysis, to metric geometry, and to realizations of certain stochastic processes.
Jorgensen, Palle, Tian, Feng
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Estimates for Durrmeyer-type exponential sampling series in Mellin-Orlicz spaces
Demonstratio MathematicaThis study examines Durrmeyer-type exponential sampling series to obtain a quantitative estimate by using the concept of the logarithmic modulus of smoothness defined with the help of a suitable modular functional on Mellin-Orlicz spaces.
Kangal Esma, Kantar Ülkü Dinlemez
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, 2010 Sampling and reconstruction of functions is a central tool in science. A key result is given by the sampling theorem for bandlimited functions attributed to Whittaker, Shannon, Nyquist, and Kotelnikov.
Pfander, Götz E.
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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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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
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A $q$-linear analogue of the plane wave expansion
, 2012 We obtain a $q$-linear analogue of Gegenbauer's expansion of the plane wave. It is expanded in terms of the little $q$-Gegenbauer polynomials and the \textit{third} Jackson $q$-Bessel function.
Abreu, Luís Daniel +2 more
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Generic observability of dynamical systems
Documenta Mathematica, 2007 Received: January 18, 2005 Revised: July 3, 2007 Communicated by Ulf Rehmann Abstract. We deal with a ertain observation mapping de ned by means of weighted measurments on a dynami al system and give ne essary and su ient onditions, under whi h this ...
Esfandiar Nava Yazdani
semanticscholar +1 more source
A Dimension Reduction Scheme for the Computation of Optimal Unions of Subspaces [PDF]
, 2011 Given a set of points \F in a high dimensional space, the problem of finding a union of subspaces \cup_i V_i\subset \R^N that best explains the data \F increases dramatically with the dimension of \R^N.
Aldroubi, Akram +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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