A multiplier theorem for the Hankel transform.
Riesz function technique is used to prove a multiplier theorem for the Hankel transform, analogous to the classical Hörmander-Mihlin multiplier theorem (Hörmander (1960)).
A multiplier theorem for ultraspherical series
A Necessary and Sufficient Condition for Dual Weyl-Heisenberg Frames to be Comactly Supported.
A necessary and sufficient condition for the existence of a father wavelet
A Necessary Condition for Calderón-Zygmund Singular Integral Operators.
A necessary condition for HK-integrability of the Fourier sine transform function
The paper is concerned with integrability of the Fourier sine transform function when , where is the space of bounded variation functions vanishing at infinity. It is shown that for the Fourier sine transform function of to be integrable in the Henstock-Kurzweil sense, it is necessary that . We prove that this condition is optimal through the theoretical scope of the Henstock-Kurzweil integration theory.
A new Approach to Temperate Generalized Colombeau Functions
A new approach to the problem of constructing recurrence relations for the Jacobi coefficients
A New Characterization of Besicovitch Almost Periodic Functions.
A new characterization of by John-Strömberg sharp maximal functions
Let be a nonnegative Radon measure on which only satisfies for all , , with some fixed constants and In this paper, a new characterization for the space of Tolsa in terms of the John-Strömberg sharp maximal function is established.
A New Class of Unbalanced Haar Wavelets That Form an Unconditional Basis for L... on General Measure Spaces.
A new classification of periodic functions and their approximation
A new criterion for the absolute Riesz summability of the conjugate series of a Fourier series
A new extension of monotone sequences and its applications.
A new form of the spherical expansion of zonal functions and Fourier transforms of -finite functions.
A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces [Book]
A new of looking at distributional estimates; applications for the bilinear Hilbert transform.
Distributional estimates for the Carleson operator acting on characteristic functions of measurable sets of finite measure were obtained by Hunt. In this article we describe a simple method that yields such estimates for general operators acting on one or more functions. As an application we discuss how distributional estimates are obtained for the linear and bilinear Hilbert transform. These distributional estimates show that the square root of the bilinear Hilbert transform is exponentially lntegrable...
A new proof of a theorem about generalized orthogonal polynomials.
A New Proof of Certain Littlewood-Paley Inequalities.
A new proof of the support theorem and the range characterization for the Radon transform.