On asymptotical expansions for certain singular integrals: 2-dimensional case
Analysis of PDEs
2015-12-29 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
One discusses a problem of asymptotical behavior for some operators in a general theory of pseudo differential equations on manifolds with borders. Using the distribution theory one obtains certain explicit representations for these operators. These limit distributions are constructed with a help of the Fourier transform, Dirac mass-function and its derivatives, and well-known distribution related to the Cauchy type integral.
Cite
@article{arxiv.1512.08237,
title = {On asymptotical expansions for certain singular integrals: 2-dimensional case},
author = {Vladimir B. Vasilyev},
journal= {arXiv preprint arXiv:1512.08237},
year = {2015}
}
Comments
9 pages