A note on fractional integration.
A note on weak estimates for oscillating kernels
A note to a certain pair of parametric integrals
A Parseval equation and a generalized finite Hankel transformation
In this paper, we study the finite Hankel transformation on spaces of generalized functions by developing a new procedure. We consider two Hankel type integral transformations and connected by the Parseval equation A space of functions and a space of complex sequences are introduced. is an isomorphism from onto when . We propose to define the generalized finite Hankel transform of by
A Parseval-Goldstein type theorem on the Widder potential transform and its applications.
A Phragmén-Lindelöf type quasi-analyticity principle
Quasi-analyticity theorems of Phragmén-Lindelöf type for holomorphic functions of exponential type on a half plane are stated and proved. Spaces of Laplace distributions (ultradistributions) on ℝ are studied and their boundary value representation is given. A generalization of the Painlevé theorem is proved.
A refinement of the Helson-Szegö theorem and the determination of the extremal measures
A relation between generalised Laplace and Hardy's transform
A relation between the Laplace transform and the Mellin transform with applications
A representation of Jacobi functions.
A Riemann–Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves
A uniform estimate for quartile operators.
There is a one parameter family of bilinear Hilbert transforms. Recently, some progress has been made to prove Lp estimates for these operators uniformly in the parameter. In the current article we present some of these techniques in a simplified model...
Abelian theorems for the Stieltjes transform of functions. II.
An analog of the Marcinkiewicz integral in ergodic theory
An Analogue of Beurling-Hörmander’s Theorem for the Dunkl-Bessel Transform
Mathematics Subject Classification: Primary 35R10, Secondary 44A15We establish an analogue of Beurling-Hörmander’s theorem for the Dunkl-Bessel transform FD,B on R(d+1,+). We deduce an analogue of Gelfand-Shilov, Hardy, Cowling-Price and Morgan theorems on R(d+1,+) by using the heat kernel associated to the Dunkl-Bessel-Laplace operator.
An approximate analytic solution of a particular boundary value problem.
An expression for the superposition of general algebraic functions in terms of hypergeometric series.
An extension of distributional wavelet transform
We construct a new Boehmian space containing the space 𝓢̃'(ℝⁿ×ℝ₊) and define the extended wavelet transform 𝓦 of a new Boehmian as a tempered Boehmian. In analogy to the distributional wavelet transform, it is proved that the extended wavelet transform is linear, one-to-one, and continuous with respect to δ-convergence as well as Δ-convergence.
An Extension Of Rice's Result On An Integral Equation
An extension of Rice's result on an integral equation.