Chowdhury, Mohammad S. R. Tan, Kok-Keong
Published in
Positivity

Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$E$$ \end{document} and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts...

Abanin, A. V. Semenova, G. A.
Published in
Mathematical Notes

We study conditions on a domainG in the extended complex plane\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\widehat{\mathbb{C}}$$ \end{document} and a sequence\docu...

Shamarova, É. Yu.
Published in
Mathematical Notes

The main result of the paper is an analog of the surface layer theorem for measures given on a locally convex space with a continuously and densely embedded Hilbert subspace (for a surface of finite codimension). Earlier, the surface layer theorem was proved only for Banach spaces: for surfaces of codimension 1 by Uglanov (1979) and for surfaces of...

Orlov, Igor V.
Published in
North-Holland Mathematics Studies

The repeated compact-normal differentiability of the Euler-Lagrange functional is proved. The sufficient extreme conditions for such a functional in the case of one and two variables are obtained.

Banakh, Taras Bogachev, Vladimir I. Kolesnikov, Alexander. V.
Published in
North-Holland Mathematics Studies

A topological space X has the (uniformly tight) strong Skorokhod property if each probability Radon measure μ on X can be expressed as the image of Lebesgue measure under a Borel map ξμ: [0,1]→X so that the correspondence μ→ξμ takes (uniformly tight) weakly convergent sequences (μn) of measures on X to function sequences (χμn) that converge almost ...

Panyushkin, S. V.
Published in
Mathematical Notes

We consider the generalized Fourier transform treated as an operator on the dual of an arbitrary locally convex space. We give a definition of this operator and establish its basic properties. Special attention is paid to cases in which the range of the generalized Fourier transform coincides with a weighted space of entire functions. The results a...

Menikhes, L. D.
Published in
Mathematical Notes

We study the regularizability of mappings inverse to continuous linear operators from C(0, 1) into L2(0, 1) and obtain a sufficient condition for the regularizability of such mappings in terms of the properties of the extended operator. We show that the obtained condition is in a sense exact.

Bonet, José Domański, Pawel
Published in
Archiv der Mathematik

It is shown that spaces of quasianalytic ultradifferentiable functions of Roumieu type ℰ{w}(Ω), on an open convex set \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$(...

Kawabe, Jun Hasebe, Yuya

Lobanov, S. G.
Published in
Mathematical Notes

We justify a method for reducing a wide class of nonlinear equations (including several partial differential equations) to ordinary differential equations in locally convex spaces. The possibilities of this method are demonstrated by an example of a class of nonlinear hyperbolic partial differential equations.