A Generalisation to the Hybrid Fourier Transform and Its Application

Mandal, BN and Chakrabarti, A (2003) A Generalisation to the Hybrid Fourier Transform and Its Application. In: Applied Mathematics Letters, 16 (5). pp. 703-708.

PDF Fourier.pdf Restricted to Registered users only Download (437kB) | Request a copy

Abstract

The hybrid Fourier transform, involving a linear combination of the cosine and sine functions as its kernel, is generalised for discontinuous but integrable functions, in the half-range comprising of the positive real axis. The present generalisation of the hybrid transform is observed to be useful in the area of two-dimensional wave problems involving a two-fluid region as opposed to the well-known hybrid transform, known as Havelock's expansion theorem, whose use is limited to the study of water wave problems involving only a single fluid medium.

Item Type:	Journal Article
Publication:	Applied Mathematics Letters
Publisher:	Elsevier Science Ltd
Additional Information:	Copyright of this article belongs to Elsevier Science Ltd.
Keywords:	Hybrid Fourier transform;Generalisation;Havelock's expansion;Application to two-fluid problem
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	29 Feb 2008
Last Modified:	19 Sep 2010 04:42
URI:	http://eprints.iisc.ac.in/id/eprint/13112

Actions (login required)

View Item