We study Tauberian conditions for the existence of CesÃ ro limits in terms of the Laplace transform. We also analyze Tauberian theorems for the existence of distributional point values in terms ofâ€¦ (More)

We prove several Tauberian theorems for regularizing transforms of vector-valued distributions. The regularizing transform of f is given by the integral transform M Ï†(x, y) = (f âˆ— Ï†y)(x), (x, y) âˆˆ Râ€¦ (More)

Complete structural theorems for quasiasymptotics of distributions are presented in this article. For this, asymptotically homogeneous functions and associate asymptotically homogeneous functions atâ€¦ (More)

We describe local and global properties of wavelet transforms of ultradifferentiable functions. The results are given in the form of continuity properties of the wavelet transform on Gelfand-Shilovâ€¦ (More)

We introduce and analyze spaces and algebras of generalized functions which correspond to HÃ¶lder, Zygmund, and Sobolev spaces of functions. The main scope of the paper is the characterization of theâ€¦ (More)

Motivated by the product of periodic distributions, we give a new description of the wave front and the Sobolev-type wave front of a distribution f âˆˆ D (R) in terms of Fourier series coefficients.

It should be remarked that asymptotic estimates of the behavior of the sine and of other integral transforms of regularly varying functions [6] in terms of the function f (1/x) had been obtainedâ€¦ (More)

Asymptotic analysis is a very much studied topic within generalized function theory and has shown to be quite useful for the understanding of structural properties of a generalized function inâ€¦ (More)