@article{ARM_1991_27_1-2_a11,
author = {Sthanumoorthy, Neelacanta},
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},
pages = {95--104},
year = {1991},
volume = {27},
number = {1-2},
mrnumber = {1189646},
zbl = {0765.58032},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_1991_27_1-2_a11/}
}
TY - JOUR
AU - Sthanumoorthy, Neelacanta
TI - Spectral invariant of the zeta function of the Laplacian on $\operatorname{Sp}(r+1)/\operatorname{Sp}(1)\times\operatorname{Sp}(r)$
JO - Archivum mathematicum
PY - 1991
SP - 95
EP - 104
VL - 27
IS - 1-2
UR - http://geodesic.mathdoc.fr/item/ARM_1991_27_1-2_a11/
LA - en
ID - ARM_1991_27_1-2_a11
ER -
%0 Journal Article
%A Sthanumoorthy, Neelacanta
%T Spectral invariant of the zeta function of the Laplacian on $\operatorname{Sp}(r+1)/\operatorname{Sp}(1)\times\operatorname{Sp}(r)$
%J Archivum mathematicum
%D 1991
%P 95-104
%V 27
%N 1-2
%U http://geodesic.mathdoc.fr/item/ARM_1991_27_1-2_a11/
%G en
%F ARM_1991_27_1-2_a11
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 27 (1991) no. 1-2, pp. 95-104. http://geodesic.mathdoc.fr/item/ARM_1991_27_1-2_a11/
[1] 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. | MR
[2] M. F. Atiyah V. K. Patodi, I. M. Singer: Spectral asymmetry and Riemannian geometry I. Math. Proc. Cambridge. Philos. Soc. 77 (1975), 43-69. | MR
[3] M. F. Atiyah V. K. Patodi, I. M. Singer: Spectral asymmetry and Riemannian geometry II. Math. Proc. Cambridge. Philos. Soc. 78 (1975), 405-432. | MR
[4] M. F. Atiyah V. K. Patodi, I. M. Singer: Spectral asymmetry and Riemannian geometry III. Math. Pгoc. Cambгidge. Philos. Soc. 79 (1976), 71-99. | MR
[5] 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. | MR
[6] K. Mahler: Über eine Satz von Mellin. Mathematische Annalen 100 Band (1928), 384-398. | MR
[7] R. T. Seeley: Complex powers of an elliptic operator. Proc. Symposium in Pure Math., Vol. 10, Ameг. Math. Soc. (1967), 288-307. | MR | Zbl
[8] 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. | MR
[9] 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. | MR
[10] 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. | MR
[11] N. Sthanumoorthy: Spectral invariants for the non singular Quadric Hyper-Surface. Bull. Sc. Math. 2 Serie, 114, 1990, 361-371. | MR
[12] E. C. Titchmarsch: The theory of the Riemann Zeta function. Oxford at the clarendon Press, Reprinted 1967.
[13] 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. | MR