Results 21 to 30 of about 63 (62)

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
wiley   +1 more source

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
wiley   +1 more source

On the Meijer transformation

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
wiley   +1 more source

On a new approach to convolution constructions

, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 435-448, 1993.
S. B. Yakubovich, Shyam L. Kalla
wiley   +1 more source

New convolutions for the Hartley integral transform imbedded in the Banach algebras and convolution-type integral equations

Demonstratio Mathematica
This article presents two types of the new convolutions for the Hartley integral transform associated with the Hermite functions, gives rise to the identification of some commutative and non-commutative Banach algebras, and to the Young inequalities ...
Tuan Nguyen Minh, Giang Bui Thi, Ha Quan Thai   +2 more
doaj   +1 more source

Exact Solutions of Nonlocal Pluriparabolic Problems [PDF]

, 2012
MSC 2010: 44A35 ...
Chobanov, Georgi, Dimovski, Ivan
core  

Commutants of the Dunkl Operators in C(R) [PDF]

, 2006
2000 Mathematics Subject Classification: 44A35; 42A75; 47A16, 47L10, 47L80The Dunkl operators.* Supported by the Tunisian Research Foundation under 04/UR/15 ...
Hristov, Valentin, Dimovski, Ivan, Sifi, Mohamed, Mohamed Sifi, Ivan H. Dimovski, Valentin Z. Hristov   +5 more
core  

A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations

Advanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
doaj   +1 more source

The novel quadratic phase Fourier S-transform and associated uncertainty principles in the quaternion setting

Demonstratio Mathematica
In this article, we propose a novel integral transform coined as quaternion quadratic phase S-transform (Q-QPST), which is an extension of the quadratic phase S-transform and study the uncertainty principles associated with the Q-QPST.
Gargouri Ameni
doaj   +1 more source

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source