Displaying similar documents to “Reflected double layer potentials and Cauchy's operators”

On special Riemannian 3 -manifolds with distinct constant Ricci eigenvalues

Oldřich Kowalski, Zdeněk Vlášek (1999)

Mathematica Bohemica

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The first author and F. Prufer gave an explicit classification of all Riemannian 3-manifolds with distinct constant Ricci eigenvalues and satisfying additional geometrical conditions. The aim of the present paper is to get the same classification under weaker geometrical conditions.

Tensor approach to multidimensional webs

Alena Vanžurová (1998)

Mathematica Bohemica

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An anholonomic ( n + 1 ) -web of dimension r is considered as an ( n + 1 ) -tuple of r -dimensional distributions in general position. We investigate a family of ( 1 , 1 ) -tensor fields (projectors and nilpotents associated with a web in a natural way) which will be used for characterization of all linear connections on a manifold preserving the given web.

Linear Stieltjes integral equations in Banach spaces. II. Operator valued solutions

Štefan Schwabik (2000)

Mathematica Bohemica

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This paper is a continuation of []. In [] results concerning equations of the form x(t) = x(a) +at [A(s)]x(s) +f(t) - f(a) were presented. The Kurzweil type Stieltjes integration in the setting of [] for Banach space valued functions was used. Here we consider operator valued solutions of the homogeneous problem (t) = I +dt [A(s)](s) as well as the variation-of-constants formula for the former equation.