On a.e. convergence of expansion with respect to a bounded orthonormal system of polygonals
On almost everywhere and mean convergence of Hermite and Laguerre expansions
On Almost Everywhere Convergence.
On almost summability of conjugate Fourier series.
On almost periodicity defined via non-absolutely convergent integrals
We investigate some properties of the normed space of almost periodic functions which are defined via the Denjoy-Perron (or equivalently, Henstock-Kurzweil) integral. In particular, we prove that this space is barrelled while it is not complete. We also prove that a linear differential equation with the non-homogenous term being an almost periodic function of such type, possesses a solution in the class under consideration.
On an approximation of function and its derivatives.
On an extension of a theorem of O. Szàsz
On an extension of singular integrals along manifolds of finite type.
On an extrapolation theorem of Carleson-Sjölin type with applications to a.e. convergence of Fourier series
On an inequality of Sagher and Zhou concerning Stein's lemma.
On an infinite linear combination of partial sums of Fourier series
On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of -closed -forms
We give a proof of an integral formula of Berndtsson which is related to the inversion of Fourier-Laplace transforms of -closed -forms in the complement of a compact convex set in .
On an integral of Marcinkiewicz
On analytic rapidly decreasing functions of a real variable
Condizione necessaria e sufficiente affinché una funzione rapidamente decrescente di variabile reale sia uniformemente analitica è che per i suoi coefficienti di Fourier-Hermite riesca per abbastanza piccolo.
On applicability of the projection method to two-dimensional Toeplitz operators with measurable symbol.
On approach regions for the conjugate Poisson integral and singular integrals
Let ũ denote the conjugate Poisson integral of a function . We give conditions on a region Ω so that , the Hilbert transform of f at x, for a.e. x. We also consider more general Calderón-Zygmund singular integrals and give conditions on a set Ω so that is a bounded operator on , 1 < p < ∞, and is weak (1,1).
On approximate differentiability of functions with bounded deformation.
On Approximation Of Continuous And Differentiable Functions By Fourier-Jacobi Series
On approximation of functions by generalized Abel--Poisson operators.
On approximation of locally compact groups by finite algebraic systems.