MODERN OPERATOR THEORY AND APPLICATIONS

By DONALD GARCIA

CONTENTS COEFFICIENTS AVERAGING FOR FUNCTIONAL OPERATORS GENERATED BY IRRATIONAL ROTATION ON THE VERIFICATION OF LINEAR EQUATIONS AND THE IDENTIFICATION OF THE TOEPLITZ-PLUS-HANKEL STRUCTURE ASYMMETRIC FACTORIZATIONS OF MATRIX FUNCTIONS ON THE REAL LINE ON THE CONNECTION BETWEEN THE INDICES OF A BLOCK OPERATOR MATRIX AND OF ITS DETERMINANT QUASI-COMMUTATIVITY OF ENTIRE MATRIX FUNCTIONS AND THE CONTINUOUS ANALOGUE OF THE RESULTANT DOUBLE BARRIER OPTIONS UNDER LÉVY PROCESSES A LOCAL-TRAJECTORY METHOD AND ISOMORPHISM THEOREMS FOR NONLOCAL C*- ALGEBRAS BOUNDEDNESS IN LEBESGUE SPACES WITH VARIABLE EXPONENT OF THE CAUCHY SINGULAR OPERATOR ON CARLESON ON THE AVERAGING METHOD FOR THE PROBLEM OF HEAT CONVECTION IN THE FIELD OF HIGHLY-OSCILLATING FORCES ASYMPTOTICS OF A CLASS OF OPERATOR DETERMINANTS