A dynamical two dimensional problem of generalized thermoelasticity has been considered to examine the stresses in an isotropic elastic slab. Laplace transform for time variable and exponential Fourier transform for space variable has been applied in the basic equations to form a vector-matrix differential equation which is then solved by eigenvalue approach. Finally numerical computations of t...

Very broadly speaking, the Fourier transform is a systematic way to decompose “generic” functions into a superposition of “symmetric” functions. These symmetric functions are usually quite explicit (such as a trigonometric function sin(nx) or cos(nx)), and are often associated with physical concepts such as frequency or energy. What “symmetric” means here will be left vague, but it will usually...

The loop transform in quantum gauge field theory can be recognized as the Fourier transform (or characteristic functional) of a measure on the space of generalized connections modulo gauge transformations. Since this space is a compact Hausdorff space, conversely, we know from the Riesz-Markov theorem that every positive linear functional on the space of continuous functions thereon qualifies a...