Results 11 to 20 of about 84 (46)
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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Harmonic Analysis on the Einstein Gyrogroup
, 2014 In this paper we study harmonic analysis on the Einstein gyrogroup of the open ball of R, n ∈ N, centered at the origin and with arbitrary radius t ∈ R, associated to the generalised Laplace-Beltrami operator Lσ,t = ( 1− ‖x‖ 2 t2 )∆− n ∑ i,j=1 xixj t2 ∂
M. Ferreira
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Orthonormal sequences and time frequency localization related to the Riemann-Liouville operator
Operators and Matrices, 2019 For every real number p > 0 , we define the p -dispersion ρp,να ( f ) of a measurable function f on [0,+∞[×R , where να is some positive measure. We prove that for every orthonormal basis (φm,n)(m,n)∈ N2 of L (dνα ) , the sequences ( ρp,να (φm,n) ) (m,n)∈
A. Besma, Hammami Aymen
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Uniform Lorentz norm estimates for convolution operators
Journal of Inequalities and Applications, 2014 Uniform endpoint Lorentz norm improving estimates for convolution operators with affine arclength measure supported on simple plane curves are established.
Youngwoo Choi
semanticscholar +2 more sources
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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International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 2, Page 145-159, 1978., 1978 Recently [8], an operational calculus for the operator Bμ = t−μDt1+μD with −1 < μ < ∞ was developed via the algebraic approach [4], [13], [15]. This paper gives the integral transform version. In particular, a differentiation theorem and a convolution theorem are proved.
J. Conlan, E. L. Koh
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Local saturation of a positive linear convolution operator
Journal of Inequalities and Applications, 2014 Let {Hn(t)} be a sequence of non-negative, even, and continuous functions on ℝ. In this paper, we consider a convolution operator Jn(f;x)=∫0∞f(t)Hn(t−x)dt, f∈Lp(R+), and then investigate the local saturation of Jn(f;x). MSC:44A35.
H. Jung, R. Sakai
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