The Convergence in L... of Singular Integrals in Harmonic Analysis and Ergodic Theory.
The Convergence Rates of Expansions in Jacobi Polynomials.
The Dirichlet-Jordan theorem for the Henstock-Fourier transform.
The discrete Fourier-Transform an Lp approximation of functions.
The divergence phenomena of interpolation type operators in space
The dual of Hardy spaces on a bounded domain in Rn.
The Dunkl transform.
The Ehrhart polynomial of a lattice -simplex.
The eigenvalues of Hermite and rational spectral differentiation matrices.
The Euler Maclaurin Expansion for the Cauchy Principal Value Integral.
The fall of the doubling condition in Calderón-Zygmund theory.
The most important results of standard Calderón-Zygmund theory have recently been extended to very general non-homogeneous contexts. In this survey paper we describe these extensions and their striking applications to removability problems for bounded analytic functions. We also discuss some of the techniques that allow us to dispense with the doubling condition in dealing with singular integrals. Special attention is paid to the Cauchy Integral.[Proceedings of the 6th International Conference on...
The form boundedness criterion for the relativistic Schrödinger operator
We establish necessary and sufficient conditions on the real- or complex-valued potential defined on for the relativistic Schrödinger operator to be bounded as an operator from the Sobolev space to its dual .
The Fourier Character Of Series With Slowly Varying Convergence Moduli
The Fourier integral for a certain class of distributions
The aim of this paper is to derive by elementary means a theorem on the representation of certain distributions in the form of a Fourier integral. The approach chosen was found suitable especially for students of post-graduate courses at technical universities, where it is in some situations necessary to restrict a little the extent of the mathematical theory when concentrating on a technical problem.
The Fourier integral operators on Hardy spaces associated with Herz spaces
In this paper, it is proved that the Fourier integral operators of order , with , are bounded from three kinds of Hardy spaces associated with Herz spaces to their corresponding Herz spaces.
The Fourier transform in weighted Lorenz spaces.
The Fourier transform in weighted spaces
The Fourier transform of functions satisfying the Lipschitz condition on rank 1 symmetric spaces.
The Fourier transform on quantum Euclidean space.
The Fourier transforms of Lipschitz functions on certain domains.