Results 11 to 20 of about 351 (53)
A $q$-linear analogue of the plane wave expansion [PDF]
, 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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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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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
The Zero-Removing Property and Lagrange-Type Interpolation Series [PDF]
, 2011 The classical Kramer sampling theorem, which provides a method for obtaining orthogonal sampling formulas, can be formulated in a more general nonorthogonal setting.
A. G. García +11 more
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Sampling in the Analysis Transform Domain [PDF]
, 2015 Many signal and image processing applications have benefited remarkably from the fact that the underlying signals reside in a low dimensional subspace. One of the main models for such a low dimensionality is the sparsity one.
Giryes, Raja
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Approximation results for a general class of Kantorovich type operators [PDF]
, 2014 We introduce and study a family of integral operators in the Kantorovich sense for functions acting on locally compact topological groups. We obtain convergence results for the above operators with respect to the pointwise and uniform convergence and in ...
Vinti, Gianluca, Zampogni, Luca
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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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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
core +1 more source
, 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