This book discusses, develops and applies the theory of Vilenkin-Fourier series connected to modern harmonic analysis. The classical theory of Fourier series deals with decomposition of a function into sinusoidal waves.
Sure, to many, mathematics seems to come from hell, but the darkness in the title in fact refers to the lugubrious stories about... Læs mere
Over the course of his distinguished career, Claude Viterbo has made a number of groundbreaking contributions in the development of symplectic geometry/topology and Hamiltonian dynamics.
Then, high-order finite elements are presented to design a regular mesh and assemble the stiffness and mass matrices in advanced applications... Læs mere
?We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrödinger operators.
Parmi les sujets traités figurent l'étude des faisceaux cohérents et de leur cohomologie, le théorème de... Læs mere
The problem of enumerating maps (a map is a set of polygonal "countries" on a world of a certain topology, not necessarily the plane or the sphere) is an... Læs mere
This beginners' course provides students with a general and sufficiently easy to grasp theory of... Læs mere
This book provides a systematic survey of classical and recent results on hyperbolic cross approximation. Motivated by numerous applications, the last two decades have seen great success in studying multivariate approximation.