6 citations · 6 across the 1 of their papers we have counts for
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Scattering for time series with an application to the zeta function of an algebraic curve
Jean-Francois Burnol
I explain how the Lax-Phillips theory can be applied to a purely innovating time series and compute the corresponding scattering function. I then associate such a time series to an…
A note on Nyman's equivalent formulation of the Riemann Hypothesis
Jean-Francois Burnol
A certain subspace of the Hilbert space of square-integrable functions on the unit interval has been considered by Nyman, Beurling, and others, with the result that the constant fu…
The Explicit Formula and the conductor operator
Jean-Francois Burnol
I give a new derivation of the Explicit Formula for an arbitrary number field and abelian Dirichlet-Hecke character, which treats all primes in exactly the same way, whether they a…
Scattering on the p-adic field and a trace formula
Jean-Francois Burnol
I apply the set-up of Lax-Phillips Scattering Theory to a non-archimedean local field. It is possible to choose the outgoing space and the incoming space to be Fourier transforms o…