The present work is aimed at analyzing the thermoelastic disturbances in a circular plate of finite thickness and infinite extent subjected to constant initial temperature and axisymmetric heat supply. Integral transform technique is used. Analytic solutions for temperature, displacement and stresses are derived within the context of unified system of equations in generalized thermoelasticity i...

All methods presented in textbooks for computing inverse -transforms of rational functions have some limitation: 1) the direct division method does not, in general, provide enough information to derive an analytical expression for the time-domain sequence whose -transform is ; 2) computation using the inversion integral method becomes labored when has poles at the origin of the complex plane; 3...

This paper is concerned with the group-theoretical background of integral transforms and the role they play in signal processing on the sphere. An overview of topological groups, measure and representation theories, and an overview of the Windowed Fourier Transform and the Continuous Wavelet Transform are presented. A group-theoretical framework within which these transforms arise is presented....