Dans cet article, nous présentons un nouveau point de vue sur la renormalisation de certaines sommes exponentielles issues de la théorie des nombres. Nous généralisons cette procédure pour étudier certains cocycles matriciels liés à des problèmes spectraux de la mécanique quantique.
In this paper, we present a new point of view on the renormalization of some exponential sums stemming from number theory. We generalize this renormalization procedure to study some matrix cocycles arising in spectral problems of quantum mechanics
Mots-clés : exponential sums, matrix cocycles, monodromy matrix
@article{SEDP_2004-2005____A16_0,
author = {Fedotov, Alexander and Klopp, Fr\'ed\'eric},
title = {Renormalization of exponential sums and matrix cocycles},
journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
note = {talk:16},
pages = {1--10},
publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2004-2005},
mrnumber = {2182060},
language = {en},
url = {http://www.numdam.org/item/SEDP_2004-2005____A16_0/}
}
TY - JOUR AU - Fedotov, Alexander AU - Klopp, Frédéric TI - Renormalization of exponential sums and matrix cocycles JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:16 PY - 2004-2005 SP - 1 EP - 10 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://www.numdam.org/item/SEDP_2004-2005____A16_0/ LA - en ID - SEDP_2004-2005____A16_0 ER -
%0 Journal Article %A Fedotov, Alexander %A Klopp, Frédéric %T Renormalization of exponential sums and matrix cocycles %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:16 %D 2004-2005 %P 1-10 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://www.numdam.org/item/SEDP_2004-2005____A16_0/ %G en %F SEDP_2004-2005____A16_0
Fedotov, Alexander; Klopp, Frédéric. Renormalization of exponential sums and matrix cocycles. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2004-2005), Exposé no. 16, 10 p. http://www.numdam.org/item/SEDP_2004-2005____A16_0/
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