MULTIDIMENSIONAL SINGULAR INTEGRALS AND INTEGRAL EQUATIONS

By DANIEL GONZALEZ

CONTENTS 1 INVERSION OF FINITE TOEPLITZ MATRICES 2 INVERSION OF FINITE TOEPLITZ MATRICES CONSISTING OF ELEMENTS OF A NONCOMMUTATIVE ALGEBRA 3 MATRIX INTEGRAL OPERATORS ON A FINITE INTERVAL WITH KERNELS DEPENDING ON THE DI?ERENCE OF THE ARGUMENTS 4 THE RESULTANT MATRIX AND ITS GENERALIZATIONS I THE RESULTANT OPERATOR FOR MATRIX POLYNOMIALS 5 THE RESULTANT MATRIX AND ITS GENERALIZATIONS II THE CONTINUAL ANALOGUE OF THE RESULTANT OPERATOR 6 THE SPECTRUM OF SINGULAR INTEGRAL OPERATORS IN LP SPACES 7 ON AN ALGEBRA GENERATED BY THE TOEPLITZ MATRICES IN THE SPACES HP 8 ON SINGULAR INTEGRAL EQUATIONS WITH UNBOUNDED COE?CIENTS 9 SINGULAR INTEGRAL EQUATIONS WITH CONTINUOUS COE?CIENTS ON A COMPOSED CONTOUR 10 ON A LOCAL PRINCIPLE AND ALGEBRAS GENERATED BY TOEPLITZ MATRICES 11 THE SYMBOL OF SINGULAR INTEGRAL OPERATORS ON A COMPOSED CONTOUR 12 ONE-DIMENSIONAL SINGULAR INTEGRAL OPERATORS WITH SHIFT 13 ALGEBRAS OF SINGULAR INTEGRAL OPERATORS WITH SHIFT