Results 21 to 30 of about 136 (61)
Weighted Fourier frames on fractal measures
, 2016 We generalize an idea of Picioroaga and Weber to construct Paseval frames of weighted exponential functions for self-affine ...
Dutkay, Dorin Ervin, Ranasinghe, Rajitha
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Scaling by 5 on a 1/4-Cantor Measure [PDF]
, 2012 Each Cantor measure (\mu) with scaling factor 1/(2n) has at least one associated orthonormal basis of exponential functions (ONB) for L^2(\mu). In the particular case where the scaling constant for the Cantor measure is 1/4 and two specific ONBs are ...
B. Arveson +5 more
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A q-analogue of convolution on the line
, 1999 In this paper we study a q-analogue of the convolution product on the line in detail. A convolution product on the braided line was defined algebraically by Kempf and Majid.
Carnovale, G., Koornwinder, T. H.
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Some remarks on sinc integrals and their connection with combinatorics, geometry and probability
, 2007 We give an alternative, combinatorial/geometrical evaluation of a class of improper sinc integrals studied by the Borweins. A probabilistic interpretation is also noted and used to shed light on a related combinatorial identity.Comment: 6 pages ...
Bradley, David M.
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On the approximation by convolution operators in homogeneous Banach spaces on R^d [PDF]
, 2014 AMS Subject Classification 2010: 41A25, 41A35, 41A40, 41A63, 41A65, 42A38, 42A85, 42B10, 42B20The paper presents a description of the optimal rate of approximation as well as of a broad class of functions that possess it for convolution operators acting ...
Draganov, Borislav
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Interpolation sequences for the Bernstein algebra [PDF]
, 2016 We give a description, in analytic and geometric terms, of the interpolation sequences for the algebra of entire functions of exponential type which are bounded on the real ...
Massaneda Clares, Francesc Xavier +1 more
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Discrete singular integrals in a half-space
, 2014 We consider Calderon -- Zygmund singular integral in the discrete half-space $h{\bf Z}^m_{+}$, where ${\bf Z}^m$ is entire lattice ($h>0$) in ${\bf R}^m$, and prove that the discrete singular integral operator is invertible in $L_2(h{\bf Z}^m_{+}$) iff ...
A.V. Vasilyev +7 more
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On nonlinear damped wave equations for positive operators, I : discrete spectrum [PDF]
, 2019 In this paper, we study a Cauchy problem for the nonlinear damped wave equations for a general positive operator with discrete spectrum. We derive the exponential in time decay of solutions to the linear problem with decay rate depending on the interplay
Ruzhansky, Michael, Tokmagambetov, Niyaz
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Pseudo-differential operator associated with the fractional Fourier transform [PDF]
, 2016 The main goal of this paper is to study properties of the fractional Fourier transform on Schwartz type space $mathscr{S}_{theta}$. Symbol class $S_{rho,sigma}^{m,theta}$ is introduced.
Akhilesh Prasad, Praveen Kumar
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, 2018 The function $G(z) = \int_0^\infty \xi^{z-1}(1+\exp(\xi))^{-1} \, d\xi$ is analytic and has the same zeros as the Riemann zeta function in the critical strip $D = \{z \in {\mathbf C} : 0 < \Re z < 1\}$.
Stenger, Frank
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