Lecture Notes in Mathematics

2 primary works • 3 total works

Theory of a Higher-Order Sturm-Liouville Equation

by Vladimir Kozlov and Vladimir Maz'ya

Published 17 July 1997

This book develops a detailed theory of a generalized Sturm-Liouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higher-order Sturm-Liouville equation also proved to have important applications to differential equations with operator coefficients and elliptic boundary value problems for domains with non-smooth boundaries. The book addresses graduate students and researchers in ordinary and partial differential equations, and is accessible with a standard undergraduate course in real analysis.

Sharp Real-Part Theorems

by Gershon Kresin and Vladimir Maz'ya

Published 1 January 2007

This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory.

Sharp Real-Part Theorems: A Unified Approach. Lecture Notes in Mathematics.

by Gershon Kresin

Published 10 January 2010