A Tauberian approach to Weyl’s law for the Kohn Laplacian on spheres
Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 134-154
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We compute the leading coefficient in the asymptotic expansion of the eigenvalue counting function for the Kohn Laplacian on the spheres. We express the coefficient as an infinite sum and as an integral.
Mots-clés :
Kohn Laplacian, Weyl’s law, Karamata’s Tauberian Theorem
Bosch, Henry; Gonzales, Tyler; Spinelli, Kamryn; Udell, Gabe; Zeytuncu, Yunus E. A Tauberian approach to Weyl’s law for the Kohn Laplacian on spheres. Canadian mathematical bulletin, Tome 65 (2022) no. 1, pp. 134-154. doi: 10.4153/S0008439521000163
@article{10_4153_S0008439521000163,
author = {Bosch, Henry and Gonzales, Tyler and Spinelli, Kamryn and Udell, Gabe and Zeytuncu, Yunus E.},
title = {A {Tauberian} approach to {Weyl{\textquoteright}s} law for the {Kohn} {Laplacian} on spheres},
journal = {Canadian mathematical bulletin},
pages = {134--154},
year = {2022},
volume = {65},
number = {1},
doi = {10.4153/S0008439521000163},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000163/}
}
TY - JOUR AU - Bosch, Henry AU - Gonzales, Tyler AU - Spinelli, Kamryn AU - Udell, Gabe AU - Zeytuncu, Yunus E. TI - A Tauberian approach to Weyl’s law for the Kohn Laplacian on spheres JO - Canadian mathematical bulletin PY - 2022 SP - 134 EP - 154 VL - 65 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000163/ DO - 10.4153/S0008439521000163 ID - 10_4153_S0008439521000163 ER -
%0 Journal Article %A Bosch, Henry %A Gonzales, Tyler %A Spinelli, Kamryn %A Udell, Gabe %A Zeytuncu, Yunus E. %T A Tauberian approach to Weyl’s law for the Kohn Laplacian on spheres %J Canadian mathematical bulletin %D 2022 %P 134-154 %V 65 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000163/ %R 10.4153/S0008439521000163 %F 10_4153_S0008439521000163
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