Results 1 to 10 of about 319 (18)
Reconstruction of Bandlimited Functions from Unsigned Samples [PDF]
, 2010 We consider the recovery of real-valued bandlimited functions from the absolute values of their samples, possibly spaced nonuniformly. We show that such a reconstruction is always possible if the function is sampled at more than twice its Nyquist rate ...
B.Ya. Levin +15 more
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On the analytic form of the discrete Kramer sampling theorem
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 11, Page 709-715, 2001., 2001 The classical Kramer sampling theorem is, in the subject of self‐adjoint boundary value problems, one of the richest sources to obtain sampling expansions. It has become very fruitful in connection with discrete Sturm‐Liouville problems. In this paper a discrete version of the analytic Kramer sampling theorem is proved.
Antonio G. García +2 more
wiley +1 more source
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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The reproducing kernel structure arising from a combination of continuous and discrete orthogonal polynomials into Fourier systems [PDF]
, 2006 We study mapping properties of operators with kernels defined via a combination of continuous and discrete orthogonal polynomials, which provide an abstract formulation of quantum (q-) Fourier type systems.
Abreu, Luis Daniel
core +4 more sources
Sampling Theorems for Sturm Liouville Problem with Moving Discontinuity Points
, 2014 In this paper, we investigate the sampling analysis for a new Sturm-Liouville problem with symmetrically located discontinuities which are defined to depending on a neighborhood of a midpoint of the interval.
Altinisik, Nihat, Hira, Fatma
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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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, 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.
core
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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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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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
core +1 more source