Negative values of cosine sums
Newer applications of generalized monotone sequences.
Nombres de Pisot et fonctions moyenne-périodiques
Nonconvolution transforms with oscillating kernels that map into itself
We consider operators of the form with Ω(y,u) = K(y,u)h(y-u), where K is a Calderón-Zygmund kernel and (see (0.1) and (0.2)). We give necessary and sufficient conditions for such operators to map the Besov space (= B) into itself. In particular, all operators with , a > 0, a ≠ 1, map B into itself.
Nonlinear Approximation Theory on Compact Groups.
Nonmonotone nonconvolution functions of positive type and applications
We present two sufficient conditions for nonconvolution kernels to be of positive type. We apply the results to obtain stability for one-dimensional models of chemically reacting viscoelastic materials.
Nonperiodic Sampling of Bandlimited Functions on Unions of Rectangular Lattices.
Norm convergence of some power series of operators in with applications in ergodic theory
Let X be a closed subspace of , where μ is an arbitrary measure and 1 < p < ∞. Let U be an invertible operator on X such that . Motivated by applications in ergodic theory, we obtain (optimal) conditions for the convergence of series like , 0 ≤ α < 1, in terms of , generalizing results for unitary (or normal) operators in L²(μ). The proofs make use of the spectral integration initiated by Berkson and Gillespie and, more particularly, of results from a paper by Berkson-Bourgain-Gillespie....
Note on differentiation of integrals and the halo conjecture
Note on summability (L) of Fourier integrals
Note on the absolute convergence of Fourier series of a function of Wiener’s class
Notes on integral transformations [Book]
Notiz zu dem Aufsatze: Beweis, dass eine für jeden reellen Werth von x durch eine trigonometrische Reihe gegebene Function f(x) sich nur auf eine einzige Weise in dieser Form darstellen lässt. Bd. 72, Seite 139
Numerical Computation of the Fourier Transform Using Laguerre Functions and the Fast Fourier Transform.
O rychlém odvození některých řad trigonometrických. [I.]
O rychlém odvození některých řad trigonometrických. [II.]
O the absolute Nörlund summability of a series associated with a Fourier series.
Od funkcí periodických ke skoroperiodickým
On a Bojanić-Stanojević type inequality and its applications.
On a Class of Three Dimensional Radially Symmetric Positive Definite Functions.