Description
Book SynopsisThis book provides a modern and up-to-date treatment of the Hilberttransform of distributions and the space of periodic distributions.Taking a simple and effective approach to a complex subject, thisvolume is a first-rate textbook at the graduate level as well as anextremely useful reference for mathematicians, applied scientists,and engineers.
The author, a leading authority in the field, shares with thereader many new results from his exhaustive research on the Hilberttransform of Schwartz distributions. He describes in detail how touse the Hilbert transform to solve theoretical and physicalproblems in a wide range of disciplines; these include aerofoilproblems, dispersion relations, high-energy physics, potentialtheory problems, and others.
Innovative at every step, J. N. Pandey provides a new definitionfor the Hilbert transform of periodic functions, which isespecially useful for those working in the area of signalprocessing for computational purposes. This defini
Table of ContentsThe Riemann-Hilbert Problem.
The Hilbert Transform of Distributions in D'Lp, 1 p infinity.
The Hilbert Transform of Schwartz Distributions.
n-Dimensional Hilbert Transform.
Further Applications of the Hilbert Transform, the HilbertProblem-- A Distributional Approach.
Periodic Distributions, Their Hilbert Transform andApplications.
Bibliography.
Indexes.
