Introduction

Unit-IV

FOURIER TRANSFORMS

Statement of Fourier integral theorem- Fourier transform pair- Fourier sine and cosine transforms Properties - Transforms of simple functions Convolution theorem - Parseval's identity.

INTRODUCTION

Integral transforms are used in the solution of partial differential equations. The choice of a particular transform to be used for the solution of a differential equation depends upon the nature of the boundary conditions of the equation and the facility with which the transform F(s) can be converted to give f(x).