The composition of the finite Hilbert transform with the differentiation operator.

Title: The composition of the finite Hilbert transform with the differentiation operator.
Identifier: AAI9820577
identifier: 9820577
Creator: Saadia-Otero, Marina I.
Contributor: Adviser: Richard Sacksteder
Date: 1998
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: Solutions of the Neumann problem for the Laplace and Helmholtz operators in the exterior of a compact plane curve without self-intersections depends on a formally symmetric operator defined on a dense subspace of the {dollar}L\sp2{dollar} functions on a closed interval. Within the subspace the operator is differentiation composed with the finite Hilbert transform. We find the self-adjoint extension of this operator and investigate its properties thereby developing the theory of the Neumann problem to its natural limit.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.

Media: The composition of the finite Hilbert transform with the differentiation operator.