# Accession Number:

## AD0673550

# Title:

## THE ANALYTICITY OF SOLUTIONS OF SINGULAR INTEGRAL EQUATIONS.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS

# Personal Author(s):

# Report Date:

## 1968-07-01

# Pagination or Media Count:

## 68.0

# Abstract:

The author studies the analyticity properties of solutions of the equation g Kf where K is a singular integral operator of the Calderon-Zygmund type with g and f in L sub p. Assuming that g and K are locally analytic in a suitable sense and that the symbol of the operator K is locally not equal to 0, any solution of the equation g Kf is shown to be locally analytic. This generalizes the well-known result that solutions of linear analytic elliptic partial differential equations are themselves analytic. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics