Spectral invariant of the zeta function of the Laplacian on $\operatorname{Sp}(r+1)/\operatorname{Sp}(1)\times\operatorname{Sp}(r)$
Sthanumoorthy, Neelacanta
Archivum Mathematicum, Tome 027 (1991), p. 95-104 / Harvested from Czech Digital Mathematics Library
Publié le : 1991-01-01
Classification:  58J40,  58J50
@article{107408,
     author = {Neelacanta Sthanumoorthy},
     title = {Spectral invariant of the zeta function of the Laplacian on $\operatorname{Sp}(r+1)/\operatorname{Sp}(1)\times\operatorname{Sp}(r)$},
     journal = {Archivum Mathematicum},
     volume = {027},
     year = {1991},
     pages = {95-104},
     zbl = {0765.58032},
     mrnumber = {1189646},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107408}
}
Sthanumoorthy, Neelacanta. Spectral invariant of the zeta function of the Laplacian on $\operatorname{Sp}(r+1)/\operatorname{Sp}(1)\times\operatorname{Sp}(r)$. Archivum Mathematicum, Tome 027 (1991) pp. 95-104. http://gdmltest.u-ga.fr/item/107408/

M. F. Atiyah V. K. Patodi; I. M. Singer Spectral asymmetry and Riemannian geometry, Bull. Lon. Math. Soc., Vol. 5, Part 2, No. 14 (1973), 229-234. (1973) | MR 0331443

M. F. Atiyah V. K. Patodi; I. M. Singer Spectral asymmetry and Riemannian geometry I, Math. Proc. Cambridge. Philos. Soc. 77 (1975), 43-69. (1975) | MR 0397797

M. F. Atiyah V. K. Patodi; I. M. Singer Spectral asymmetry and Riemannian geometry II, Math. Proc. Cambridge. Philos. Soc. 78 (1975), 405-432. (1975) | MR 0397798

M. F. Atiyah V. K. Patodi; I. M. Singer Spectral asymmetry and Riemannian geometry III, Math. Pгoc. Cambгidge. Philos. Soc. 79 (1976), 71-99. (1976) | MR 0397799

A. Ikeda; Y. Taniguchi Spectra and eigen forms of the Laplacian on $S^n$ and $P^n (C)$, Osaka J. Math. 15 (1978), 515-546. (1978) | MR 0510492

K. Mahler Über eine Satz von Mellin, Mathematische Annalen 100 Band (1928), 384-398. (1928) | MR 1512491

R. T. Seeley Complex powers of an elliptic operator, Proc. Symposium in Pure Math., Vol. 10, Ameг. Math. Soc. (1967), 288-307. (1967) | MR 0237943 | Zbl 0159.15504

N. Sthanumoorthy Spectra of de Rham Hodge operator on ${\rm SO}(n+2)/{\rm SO}(2)\times{\rm SO}(n)$, Bull. Sc. Math. 2 serie 108 (1984), 297-320. (1984) | MR 0771915

N. Sthanumoorthy Spectra of de Rham Hodge operator on ${\rm Sp}(n+1)/{\rm Sp}(1)\times{\rm Sp}(n)$, Bull. Soc. Math. (1986), Bull. Sc. Math; 2 Serie, Vol. 111, 1987, 201-227. (1986) | MR 0903337

N. Sthanumoorthy Spectral invariant of the Zeta function of the Laplacian on $S^{4n-1}$, Indian J. Puгe Appl. Math., Vol. 19(5), 1988, 407-414. (19(5) | MR 0941426

N. Sthanumoorthy Spectral invariants for the non singular Quadric Hyper-Surface, Bull. Sc. Math. 2 Serie, 114, 1990, 361-371. (1990) | MR 1069194

E. C. Titchmarsch The theory of the Riemann Zeta function, Oxford at the clarendon Press, Reprinted 1967. (1967)

C. Tsukamoto Spectra of Laplace Beltrami operators on ${\rm SO}(n+2)/{\rm SO}(2)\times{\rm SO}(n)$ and ${\rm Sp}(n+1)/{\rm Sp}(1)\times{\rm Sp}(n)$, Osaka. J. Math. 18 (1981), 407-426. (1981) | MR 0628842