Zobrazeno 1 - 10
of 16
pro vyhledávání: '"58J53, 58J50"'
We determine the spectrum of the sub-Laplacian on pseudo H-type nilmanifolds and present pairs of isospectral but non-diffeomorphic nilmanifolds with respect to the sub-Laplacian. We observe that these pairs are also isospectral with respect to the L
Externí odkaz:
http://arxiv.org/abs/1911.02378
We construct the heat kernel on curvilinear polygonal domains in arbitrary surfaces for Dirichlet, Neumann, and Robin boundary conditions as well as mixed problems, including those of Zaremba type. We compute the short time asymptotic expansion of th
Externí odkaz:
http://arxiv.org/abs/1905.00259
Publikováno v:
Proc. Amer. Math. Soc. 148 (2020), 3163-3173
Let $G$ be a compact connected semisimple Lie group, let $K$ be a closed subgroup of $G$, let $\Gamma$ be a finite subgroup of $G$, and let $\tau$ be a finite-dimensional representation of $K$. For $\pi$ in the unitary dual $\widehat G$ of $G$, denot
Externí odkaz:
http://arxiv.org/abs/1804.08288
Autor:
Engel, Alexander, Weilandt, Martin
Publikováno v:
Ann. Global Anal. Geom. 44 (2013) 501-515
We construct the first non-trivial examples of compact non-isometric Alexandrov spaces which are isospectral with respect to the Laplacian and not isometric to Riemannian orbifolds. This construction generalizes independent earlier results by the aut
Externí odkaz:
http://arxiv.org/abs/1103.2568
Autor:
Weilandt, Martin
Publikováno v:
New York J. Math. 18 (2012) 421-449
We construct the first examples of families of bad Riemannian orbifolds which are isospectral with respect to the Laplacian but not isometric. In our case these are particular fixed weighted projective spaces equipped with isospectral metrics obtaine
Externí odkaz:
http://arxiv.org/abs/1004.1360
Publikováno v:
Ann. Glob. Anal. Geom. 34 (2008), 351 - 366
We construct pairs of compact Riemannian orbifolds which are isospectral for the Laplace operator on functions such that the maximal isotropy order of singular points in one of the orbifolds is higher than in the other. In one type of examples, isosp
Externí odkaz:
http://arxiv.org/abs/0710.2432
Publikováno v:
J.Phys.A40:15143,2007
In [3] the authors studied the 4-parameter family of isospectral flat 4-tori T^\pm(a,b,c,d) discovered by Conway and Sloane. With a particular method of counting nodal domains they were able to distinguish these tori (numerically) by computing the co
Externí odkaz:
http://arxiv.org/abs/0709.3745
Consider a bounded domain with the Dirichlet condition on a part of the boundary and the Neumann condition on its complement. Does the spectrum of the Laplacian determine uniquely which condition is imposed on which part? We present some results, con
Externí odkaz:
http://arxiv.org/abs/math/0409154
The authors exhibit pairs of infinite-volume, hyperbolic three-manifolds that have the same scattering poles and conformally equivalent boundaries, but which are not isometric. The examples are constructed using Schottky groups and the Sunada constru
Externí odkaz:
http://arxiv.org/abs/math/0005230
Autor:
Roberto J. Miatello, Emilio A. Lauret
Publikováno v:
Proceedings of the American Mathematical Society. 148:3163-3173
Let $G$ be a compact connected semisimple Lie group, let $K$ be a closed subgroup of $G$, let $\Gamma$ be a finite subgroup of $G$, and let $\tau$ be a finite-dimensional representation of $K$. For $\pi$ in the unitary dual $\widehat G$ of $G$, denot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8036fcf7f43282c597bf07b35e3833be
https://doi.org/10.1090/proc/14980
https://doi.org/10.1090/proc/14980
