A Sheaf of Boehmians
نویسندگان
چکیده
We show that Boehmians defined over open sets of R constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces. MSC: Primary 44A40, 46F99; Secondary 44A35, 18F20
منابع مشابه
A Brief Investigation of a Stieltjes Transform in a Class of Boehmians
Various integral transforms have been extended to various spaces of Boehmians. In this article, we discuss the Stieltjes transform in a class of Boehmians. The presented transform preserves many properties of the classical transform in the space of Boehmians.
متن کاملBoehmians on Manifolds
The construction of Boehmians on amanifold requires a commutative convolution structure. We present such constructions in two specific cases: anN-dimensional torus and an N-dimensional sphere. Then we formulate conditions under which a construction of Boehmians on a manifold is possible.
متن کاملOn the Fourier transform and the exchange property
Since Boehmians were introduced, extensions of the Fourier transform to spaces of Boehmians attracted a lot of attention (see [2, 3, 4, 5, 6, 7, 8, 9]). In some cases, the range of the extended Fourier transform is a space of functions. In other constructions, the range is a space of distributions or a space of Boehmians. In this paper, we would like to consider the space of tempered Boehmians ...
متن کاملQuasi-asymptotic Behavior of Boehmians
The notion of quasi-asymptotic behavior for the space of Boehmians is introduced and studied. AMS Mathematics Subject Classification (2010): 44A40, 46F05, 41A60, 44A15, 46F12.
متن کاملWavelet Analysis on a Boehmian Space
We extend the wavelet transform to the space of periodic Boehmians and discuss some of its properties. 1. Introduction. The concept of Boehmians was introduced by J. Mikusi´nski and P. Mikusi´nski [7], and the space of Boehmians with two notions of conver-gences was well established in [8]. Many integral transforms have been extended to the context of Boehmian spaces, for example, Fourier trans...
متن کامل