Discrete Tori and Trigonometric Sums

Author:

Grigor’yan Alexander,Lin Yong,Yau Shing-Tung

Abstract

AbstractWe prove a discrete analogue of the Poisson summation formula.

Funder

Universität Bielefeld

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference6 articles.

1. Cheng, S.Y., Li, P.: Heat kernel estimates and lower bounds of eigenvalues. Comment. Math. Helv. 56, 327–338 (1981)

2. Chung, F.R.K., Yau, S.-T.: A Combinatorial Trace Formula Tsinghua Lectures on Geometry and Analysis, pp. 107–116. International Press, Cambridge (1997)

3. Donnelly, H.: Lower bounds for the eigenvalues of negatively curved manifolds. Math. Z. 172, 29–40 (1980)

4. Grigor’yan, A.: Heat kernel upper bounds on a complete non-compact manifold. Rev. Mat. Iberoam. 10(2), 395–452 (1994)

5. Grigor’yan, A.: Heat kernel and Analysis on manifolds. In: AMS-IP Studies in Advanced Mathematics, vol. 47. American Mathematical Society, Providence (2009)

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