Titlebook: Analysis at Large; Dedicated to the Lif Artur Avila,Michael Th. Rassias,Yakov Sinai Book 2022 The Editor(s) (if applicable) and The Author(

壟斷

https://doi.org/10.1007/978-3-031-05331-3global analysis; analysis on manifolds; harmonic analysis; functional analysis; nonlinear analysis; appro

Bernstein-test

978-3-031-05333-7The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

FLIP

Digitale Hardware/Software-Systemerom below by the spectral radius of a short product of elements from .. Our goal is twofold: we review these results, providing self-contained proofs, and we derive an improved version with explicit bounds that are polynomial in .. We also discuss other complete valued fields.

Pillory

https://doi.org/10.1007/978-3-540-46824-0 for the weights for the error functional. In the limit, as the number of parameters tends to infinity, this gives rise to a family of parabolic equations. This survey aims to discuss this relation, focusing on the associated theoretical aspects appealing to the mathematical community and providing a list of interesting open problems.

negligence

斜坡

Irksome

Asseverate

啞劇

Erhebungsinstrumente und Auswertungsmethode,ld. Combined with equidistribution results on the torus, this leads to an equidistribution statement on some nilmanifolds such as Heisenberg nilmanifolds. In an appendix we strengthen results of de Saxce and the first named author regarding random walks on the torus by eliminating an assumption on Zariski connectedness of the acting group.

profligate

Micro-programming and Trickology,s innocent and seemingly obvious question (which remains unanswered!) has established a new direction in high-dimensional geometry. It has emerged as an “engine” that inspired the discovery of many deep results and unexpected connections. Here we provide a survey of these developments, including many of Bourgain’s results.