Bottom of the L^2 spectrum of the Laplacian on locally symmetric spaces
- Author
- Jean-Philippe Anker and Hong-Wei Zhang (UGent)
- Organization
- Project
- Abstract
- We estimate the bottom of the L-2 spectrum of the Laplacian on locally symmetric spaces in terms of the critical exponents of appropriate Poincare series. Our main result is the higher rank analog of a characterization due to Elstrodt, Patterson, Sullivan and Corlette in rank one. It improves upon previous results obtained by Leuzinger and Weber in higher rank.
- Keywords
- Geometry and Topology, Locally symmetric space, L-2 spectrum, Poincare series, critical exponent, Green function, heat kernel, EIGEN-VALUE-PROBLEM, HEAT KERNEL BOUNDS, AUTOMORPHIC-FORMS, RESOLVENT
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8752865
- MLA
- Anker, Jean-Philippe, and Hong-Wei Zhang. “Bottom of the L^2 Spectrum of the Laplacian on Locally Symmetric Spaces.” GEOMETRIAE DEDICATA, vol. 216, no. 1, 2022, doi:10.1007/s10711-021-00662-7.
- APA
- Anker, J.-P., & Zhang, H.-W. (2022). Bottom of the L^2 spectrum of the Laplacian on locally symmetric spaces. GEOMETRIAE DEDICATA, 216(1). https://doi.org/10.1007/s10711-021-00662-7
- Chicago author-date
- Anker, Jean-Philippe, and Hong-Wei Zhang. 2022. “Bottom of the L^2 Spectrum of the Laplacian on Locally Symmetric Spaces.” GEOMETRIAE DEDICATA 216 (1). https://doi.org/10.1007/s10711-021-00662-7.
- Chicago author-date (all authors)
- Anker, Jean-Philippe, and Hong-Wei Zhang. 2022. “Bottom of the L^2 Spectrum of the Laplacian on Locally Symmetric Spaces.” GEOMETRIAE DEDICATA 216 (1). doi:10.1007/s10711-021-00662-7.
- Vancouver
- 1.Anker J-P, Zhang H-W. Bottom of the L^2 spectrum of the Laplacian on locally symmetric spaces. GEOMETRIAE DEDICATA. 2022;216(1).
- IEEE
- [1]J.-P. Anker and H.-W. Zhang, “Bottom of the L^2 spectrum of the Laplacian on locally symmetric spaces,” GEOMETRIAE DEDICATA, vol. 216, no. 1, 2022.
@article{8752865,
abstract = {{We estimate the bottom of the L-2 spectrum of the Laplacian on locally symmetric spaces in terms of the critical exponents of appropriate Poincare series. Our main result is the higher rank analog of a characterization due to Elstrodt, Patterson, Sullivan and Corlette in rank one. It improves upon previous results obtained by Leuzinger and Weber in higher rank.}},
articleno = {{3}},
author = {{Anker, Jean-Philippe and Zhang, Hong-Wei}},
issn = {{0046-5755}},
journal = {{GEOMETRIAE DEDICATA}},
keywords = {{Geometry and Topology,Locally symmetric space,L-2 spectrum,Poincare series,critical exponent,Green function,heat kernel,EIGEN-VALUE-PROBLEM,HEAT KERNEL BOUNDS,AUTOMORPHIC-FORMS,RESOLVENT}},
language = {{eng}},
number = {{1}},
pages = {{12}},
title = {{Bottom of the L^2 spectrum of the Laplacian on locally symmetric spaces}},
url = {{http://doi.org/10.1007/s10711-021-00662-7}},
volume = {{216}},
year = {{2022}},
}
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