Results 21 to 30 of about 116 (41)

A Generalized Convolution with a Weight Function for the Fourier Cosine and Sine Transforms [PDF]

, 2004
A generalized convolution with a weight function for the Fourier cosine and sine transforms is introduced.
Kim Tuan, Vu, Minh Khoa, Nguyen, Xuan Thao, Nguyen   +2 more
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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
core   +1 more source

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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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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Fourier bases and Fourier frames on self-affine measures

, 2016
This paper gives a review of the recent progress in the study of Fourier bases and Fourier frames on self-affine measures. In particular, we emphasize the new matrix analysis approach for checking the completeness of a mutually orthogonal set.
A. Iosevich, A. Iosevich, A. Marcus, B. Fuglede, D.E. Dutkay, D.E. Dutkay, D.E. Dutkay, D.E. Dutkay, D.E. Dutkay, D.E. Dutkay, I. Łaba, I. Łaba, J.-L. Li, J.C. Lagarias, J.C. Lagarias, J.C. Lagarias, J.C. Lagarias, J.E. Hutchinson, L.-X. An, M.N. Kolountzakis, M.N. Kolountzakis, M.N. Kolountzakis, P.E.T. Jorgensen, P.E.T. Jorgensen, R.S. Strichartz, R.S. Strichartz, T. Tao, X. Dai   +27 more
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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, Ortega Cerdà, Joaquim   +1 more
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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 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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A Proof of the Riemann hypothesis The new version contains a change in Definition 3.4, resulting in simpler proofs of theorems in Sections 3 and 4. Also, important proof in Sec.5 has been modified, for completeness and clarity

, 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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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
core   +1 more source