Consider $G$ a semisimple Lie group and $\Gamma \subseteq G$ a discrete subgroupsuch that $\operatorname{vol}(G/\Gamma) < \infty$. An important problem for number ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

We consider spherical Riesz means of multiple Fourier series and some generalizations. While almost everywhere convergence of Riesz means at the critical index (d − 1)/2 may fail for functions in the ...

PROF. CARSLAW'S excellent book is so well known that it needs little general introduction. The first edition, published in 1906, was a work on “Fourier's Series and Integrals and the Mathematical ...

Multi-parameter Hardy spaces provide a refined framework for analysing functions and operators in settings where multiple scales or dimensions interact simultaneously. This theory extends the ...