The Fourier transform was—perhaps unsurprisingly ... The neat bit is that multiplying the two together and then wrapping them in an integral—that curly line at the front and dt term at ...

The Fourier transform (FT), a cornerstone of optical processing, enables rapid evaluation of fundamental mathematical operations, such as derivatives and integrals. Conventionally, a converging ...

Topics from Fourier and Laplace transforms, potential theory, Green's functions, integral equations, Sobolev spaces, and Schwartz distributions. Prerequisite: MTH 619-620, or permission of instructor ...

It covers the solving of convolution integrals and differential equations, the transformation of signals to Fourier series, the Fourier and Laplace transforms, with their application, in continuous ...

His name is closely associated with the Fourier series and Fourier transform, mathematical tools utilised in a wide range of applications. He is also one of the 72 scientists and mathematicians ...

In particular, I'm interested in the interplay between the Fourier theory of automorphic forms and the classical study of generalized Barnes integrals and hypergeometric series.