Results 1 to 10 of about 22 (22)
Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transforms
Alexandria Engineering Journal, 2023 Non-ideal sampling has nourished as one of the most attractive alternatives to classical sampling, which relies on shift-invariant spaces. The present study focuses on investigating the non-ideal sampling in shift-invariant spaces associated with the ...
Waseem Z. Lone +5 more
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Quadratic phase S-Transform: Properties and uncertainty principles
e-Prime: Advances in Electrical Engineering, Electronics and Energy, 2023 In this paper, a novel quadratic phase S-transform (QPST) is proposed, by generalizing the S-transform (ST) with five parameters a, b, c,d and e. QPST displays the time and quadratic phase domain-frequency information jointly in the time-frequency plane.
M. Younus Bhat, Aamir H. Dar
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Advanced Nonlinear Studies, 2021 The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case ...
Goodrich Christopher S.
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Curvelet transform for Boehmians
Arab Journal of Mathematical Sciences, 2014 By proving the required auxiliary results, two Boehmian spaces are constructed for the purpose of extending the curvelet transform to the context of Boehmian spaces. A convolution theorem for curvelet transform is proved.
Subash Moorthy Rajendran +1 more
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Analytical investigations of the Sumudu transform and applications to integral production equations
Mathematical Problems in Engineering, Volume 2003, Issue 3, Page 103-118, 2003., 2003 The Sumudu transform, whose fundamental properties are presented in this paper, is little known and not widely used. However, being the theoretical dual to the Laplace transform, the Sumudu transform rivals it in problem solving. Having scale and unit‐preserving properties, the Sumudu transform may be used to solve problems without resorting to a new ...
Fethi Bin Muhammed Belgacem +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 9, Page 583-588, 2000., 2000 The construction of Boehmians on a manifold requires a commutative convolution structure. We present such constructions in two specific cases: an N‐dimensional torus and an N‐dimensional sphere. Then we formulate conditions under which a construction of Boehmians on a manifold is possible.
Piotr Mikusiński
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A Parseval‐Goldstein type theorem on the widder potential transform and its applications
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 517-524, 1991., 1990 In this paper a Parseval‐Goldstein type theorem involving the Widder potential transform and a Laplace type integral transform is given. The theorem is then shown to yield a relationship between the 𝒦‐transform and the Laplace type integral transform. The theorem yields some simple algorithms for evaluating infinite integrals. Using the theorem and its
O. Yürekli, I. Sadek
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Boundedness of vector-valued B-singular integral operators in Lebesgue spaces
Open Mathematics, 2017 We study the vector-valued B-singular integral operators associated with the Laplace-Bessel differential operator △B=∑k=1n−1∂2∂xk2+(∂2∂xn2+2vxn∂∂xn),v>0. $$\triangle_{B}=\sum\limits_{k=1}^{n-1}\frac{\partial^{2}}{\partial x_{k}^{2}}+(\frac{\partial^{2}}{\
Keles Seyda, Omarova Mehriban N.
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A note on some spaces Lγ of distributions with Laplace transform
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 2, Page 243-246, 1990., 1990 In this paper we calculate the dual of the spaces of distributions Lγ introduced in [1]. Then we prove that Lγ is the dual of a subspace of C∞(ℝ).
Salvador Pérez Esteva
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A direct extension of Meller′s calculus
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 4, Page 785-791, 1982., 1982 This paper extends the operational calculus of Meller for the operator to the case where α ∈ (0, ∞). The development is àla Mikusinski calculus and uses Meller′s convolution process with a fractional derivative operator.
E. L. Koh
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