# Spectral theory of translation surfaces : A short introduction

Luc Hillairet^{[1]}

- [1] Université de Nantes Laboratoire de mathématiques Jean Leray UMR CNRS 6629 2 rue de la Houssinière BP 92208 44322 Nantes cedex 3 (France)

Séminaire de théorie spectrale et géométrie (2009-2010)

- Volume: 28, page 51-62
- ISSN: 1624-5458

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topHillairet, Luc. "Spectral theory of translation surfaces : A short introduction." Séminaire de théorie spectrale et géométrie 28 (2009-2010): 51-62. <http://eudml.org/doc/116465>.

@article{Hillairet2009-2010,

abstract = {We define translation surfaces and, on these, the Laplace operator that is associated with the Euclidean (singular) metric. This Laplace operator is not essentially self-adjoint and we recall how self-adjoint extensions are chosen. There are essentially two geometrical self-adjoint extensions and we show that they actually share the same spectrum},

affiliation = {Université de Nantes Laboratoire de mathématiques Jean Leray UMR CNRS 6629 2 rue de la Houssinière BP 92208 44322 Nantes cedex 3 (France)},

author = {Hillairet, Luc},

journal = {Séminaire de théorie spectrale et géométrie},

keywords = {translation surfaces; flat Laplace operator; isospectrality},

language = {eng},

pages = {51-62},

publisher = {Institut Fourier},

title = {Spectral theory of translation surfaces : A short introduction},

url = {http://eudml.org/doc/116465},

volume = {28},

year = {2009-2010},

}

TY - JOUR

AU - Hillairet, Luc

TI - Spectral theory of translation surfaces : A short introduction

JO - Séminaire de théorie spectrale et géométrie

PY - 2009-2010

PB - Institut Fourier

VL - 28

SP - 51

EP - 62

AB - We define translation surfaces and, on these, the Laplace operator that is associated with the Euclidean (singular) metric. This Laplace operator is not essentially self-adjoint and we recall how self-adjoint extensions are chosen. There are essentially two geometrical self-adjoint extensions and we show that they actually share the same spectrum

LA - eng

KW - translation surfaces; flat Laplace operator; isospectrality

UR - http://eudml.org/doc/116465

ER -

## References

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