TY - JOUR
T1 - Bounds for spectral projectors on generic tori
AU - Germain, Pierre
AU - Rydin Myerson, Simon L.
N1 - Funding Information:
PG was supported by the Simons collaborative grant on weak turbulence. SLRM was supported by a Leverhulme Early Career Fellowship, by the Fields Institute for Research in Mathematical Sciences, and by the National Science Foundation grant DMS 1363013. The authors are thankful to Yu Deng for insightful discussions at an early stage of this project
Publisher Copyright:
© 2022, The Author(s).
PY - 2022
Y1 - 2022
N2 - We investigate norms of spectral projectors on thin spherical shells for the Laplacian on generic tori, including generic rectangular tori. We state a conjecture and partially prove it, improving on previous results concerning arbitrary tori.
AB - We investigate norms of spectral projectors on thin spherical shells for the Laplacian on generic tori, including generic rectangular tori. We state a conjecture and partially prove it, improving on previous results concerning arbitrary tori.
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U2 - 10.1007/s00208-022-02547-w
DO - 10.1007/s00208-022-02547-w
M3 - Article
AN - SCOPUS:85144699999
JO - Mathematische Annalen
JF - Mathematische Annalen
SN - 0025-5831
ER -