Results 11 to 20 of about 244 (39)
Exterior products of operators and superoptimal analytic approximation
Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 299-412, December 2021., 2021 Abstract We give a new algorithm for the construction of the unique superoptimal analytic approximant of a given continuous matrix‐valued function on the unit circle, using exterior powers of operators in preference to spectral or Wiener–Masani factorizations.
Dimitrios Chiotis +2 more
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
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
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions [PDF]
, 1998 In this paper we prove inversion formulas for the Dunkl intertwining operator $V_k$ and for its dual ${}^tV_k$ and we deduce the expression of the representing distributions of the inverse operators $V_k^{-1}$ and ${}^tV_k^{-1}$, and we give some ...
Broglia, R.A. +4 more
core +6 more sources
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
Randomly stopped maximum and maximum of sums with consistently varying distributions
, 2017 Let $\{\xi_1,\xi_2,\ldots\}$ be a sequence of independent random variables, and $\eta$ be a counting random variable independent of this sequence. In addition, let $S_0:=0$ and $S_n:=\xi_1+\xi_2+\cdots+\xi_n$ for $n\geqslant1$. We consider conditions for
Andrulytė, Ieva Marija +2 more
core +1 more source