Spectral geometry of semi-algebraic sets
Annales de l'Institut Fourier, Volume 42 (1992) no. 1-2, p. 249-274

The spectrum of the Laplace operator on algebraic and semialgebraic subsets A in R N is studied and the number of small eigenvalues is estimated by the degree of A.

Nous étudions le spectre de l’opérateur de Laplace sur les ensembles algébriques et semi-algébriques dans R N .

@article{AIF_1992__42_1-2_249_0,
     author = {Gromov, Mikhael},
     title = {Spectral geometry of semi-algebraic sets},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Louis-Jean},
     address = {Gap},
     volume = {42},
     number = {1-2},
     year = {1992},
     pages = {249-274},
     doi = {10.5802/aif.1291},
     zbl = {0759.58048},
     mrnumber = {93i:58157},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1992__42_1-2_249_0}
}
Spectral geometry of semi-algebraic sets. Annales de l'Institut Fourier, Volume 42 (1992) no. 1-2, pp. 249-274. doi : 10.5802/aif.1291. http://www.numdam.org/item/AIF_1992__42_1-2_249_0/

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