On General Hermite Trigonometric Interpolation.
On generalized Jacobi matrices and orthogonal polynomials.
On generation and propagation of tsunamis in a shallow running ocean.
On group decompositions of bounded cosine sequences
A two-sided sequence with values in a complex unital Banach algebra is a cosine sequence if it satisfies for any n,m ∈ ℤ with c₀ equal to the unity of the algebra. A cosine sequence is bounded if . A (bounded) group decomposition for a cosine sequence is a representation of c as for every n ∈ ℤ, where b is an invertible element of the algebra (satisfying , respectively). It is known that every bounded cosine sequence possesses a universally defined group decomposition, here referred...
On Hardy spaces in complex ellipsoids
This paper deals with atomic decomposition and factorization of functions in the holomorphic Hardy space . Such representation theorems have been proved for strictly pseudoconvex domains. The atomic decomposition has also been proved for convex domains of finite type. Here the Hardy space was defined with respect to the ordinary Euclidean surface measure on the boundary. But for domains of finite type, it is natural to define with respect to a certain measure that degenerates near Levi-flat points...
On harmonic conjugates with exponential mean growth
On Hartman almost periodic functions
We consider multi-dimensional Hartman almost periodic functions and sequences, defined with respect to different averaging sequences of subsets in or . We consider the behavior of their Fourier-Bohr coefficients and their spectrum, depending on the particular averaging sequence, and we demonstrate this dependence by several examples. Extensions to compactly generated, locally compact, abelian groups are considered. We define generalized Marcinkiewicz spaces based upon arbitrary measure spaces...
On Heisenberg and local uncertainty principles for the -Dunkl transform.
On Hermite expansion of
On High Precision Methods for the Evaluation of Fourier Integrals with Finite and Infinite Limits.
On Higher Riesz Transforms for Gaussian Measures.
On holomorphy in Banach spaces and absolute convergence of Fourier series
On infinitely smooth almost-wavelets with compact support.
There are known wavelets with exponential decay on infinity [2,3,4] and wavelets with compact support [5]. But these functions have finite smoothness. It is known that there do not exist infinitely differentiable compactly supported wavelets.
On instances of Fox’s integral equation connection to the Riemann zeta function
We consider some applications of the singular integral equation of the second kind of Fox. Some new solutions to Fox’s integral equation are discussed in relation to number theory.
On integrability of functions defined by trigonometric series.
On Integrability of Trigonometric Series with Quasi - Monotone Coefficients
On integral operators with operator-valued kernels.
On summability of Fourier series.
On Jackson type inequality in Orlicz classes.
It is shown that Jackson type inequality fails in the Orlicz classes φ(L) if φ(x) differs essentially from a power function of any order.