Results 11 to 20 of about 307 (63)
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
Square-like functions generated by the Laplace-Bessel differential operator
Advances in Differential Equations, 2014 We introduce a wavelet-type transform associated with the Laplace-Bessel differential operator ΔB=∑k=1n∂2∂xk+2νk∂xk∂∂xk and the relevant square-like functions.
Şeyda Keleş, S. Bayrakci
semanticscholar +2 more sources
Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets [PDF]
, 2009 We prove a Calder\'on reproducing formula for the Dunkl continuous wavelet transform on $\mathbb{R}$.
Mourou, Mohamed Ali
core +5 more sources
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
semanticscholar +2 more sources
Nonlocal Operational Calculi for Dunkl Operators [PDF]
, 2009 The one-dimensional Dunkl operator $D_k$ with a non-negative parameter $k$, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of $D_k$, satisfying this condition is studied.
Dimovski, Ivan H., Hristov, Valentin Z.
core +5 more sources
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
semanticscholar +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
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