On the finite Hilbert transform.

Title: On the finite Hilbert transform.
Identifier: AAI8820845
identifier: 8820845
Creator: Boccio, Dona Victoria.
Contributor: Adviser: Richard Sacksteder
Date: 1988
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: Several aspects of the finite Hilbert transform are investigated. Among these are its relevance to the boundary value problems in potential theory, its actions on various function spaces, specific formulas for its effects on Chebychev polynomials, and solvability of the airfoil equation. Some of the results obtained are re-derivations of classical formulas and discussions of their full range of validity. The formulas for the finite Hilbert transform involving Chebychev polynomials lead to explicit solutions of certain boundary value problems.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.