Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need a practical and mathematically solid introduction to its principles. They ne…
Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. This book provides students and practitioners with a practical and mathematically solid introduction to its principles. Principles of Four…
Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need a practical and mathematically solid introduction to its principles. They ne…
The Multi-Index NotationThe Gamma FunctionConvolutionsFourier TransformsTempered DistributionsThe Heat KernelThe Free PropagatorThe Newtonian PotentialThe Bessel PotentialGlobal Hypoellipticity in the Schwartz SpaceThe Poisson KernelThe Bessel-Poisson KernelWave KernelsThe Heat …
Partial Differential Equations: Topics in Fourier Analysis explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models. It shows how this powerful approach is valuable in getting plausible answers that c…
