9 citations · 25 across the 10 of their papers we have counts for
11 papers
Banach halos and short isometries
Tomoki Mihara, Frédéric Paugam
The aim of this article is twofold. First, we develop the notion of a Banach halo, similar to that of a Banach ring, except that the usual triangular inequality is replaced by the…
A note on the nonlinear derived Cauchy problem
Frédéric Paugam
We define and study a generalization of the analytic Cauchy problem, that specializes to the Cauchy-Kowaleskaya-Kashiwara problem in the linear case. The main leitmotive of this te…
Overconvergent global analytic geometry
Frédéric Paugam
We define a notion of global analytic space with overconvergent structure sheaf. This gives an analog on a general base Banach ring of Grosse-Kloenne's overconvergent p-adic spaces…
Homotopical Poisson reduction of gauge theories
Frederic Paugam
The classical Poisson reduction of a given Lagrangian system with (local) gauge symmetries has to be done before its quantization. We propose here a coordinate free and self-contai…
Histories and observables in covariant field theory
Frederic Paugam
Motivated by DeWitt's viewpoint of covariant field theory, we define a general notion of non-local classical observable that applies to many physical lagrangian systems (with boson…
Spectral symmetries of zeta functions
Frederic Paugam
We define, answering a question of Sarnak in his letter to Bombieri, a symplectic pairing on the spectral interpretation (due to Connes and Meyer) of the zeroes of Riemann's zeta f…