| Title:
|
Spectral invariant of the zeta function of the Laplacian on $\operatorname{Sp}(r+1)/\operatorname{Sp}(1)\times\operatorname{Sp}(r)$ (English) |
| Author:
|
Sthanumoorthy, Neelacanta |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
27 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
95-104 |
| . |
| Category:
|
math |
| . |
| MSC:
|
58J40 |
| MSC:
|
58J50 |
| idZBL:
|
Zbl 0765.58032 |
| idMR:
|
MR1189646 |
| . |
| Date available:
|
2008-06-06T06:22:57Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107408 |
| . |
| Reference:
|
[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 0331443 |
| Reference:
|
[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 0397797 |
| Reference:
|
[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 0397798 |
| Reference:
|
[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 0397799 |
| Reference:
|
[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 0510492 |
| Reference:
|
[6] K. Mahler: Über eine Satz von Mellin.Mathematische Annalen 100 Band (1928), 384-398. MR 1512491 |
| Reference:
|
[7] R. T. Seeley: Complex powers of an elliptic operator.Proc. Symposium in Pure Math., Vol. 10, Ameг. Math. Soc. (1967), 288-307. Zbl 0159.15504, MR 0237943 |
| Reference:
|
[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 0771915 |
| Reference:
|
[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 0903337 |
| Reference:
|
[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 0941426 |
| Reference:
|
[11] N. Sthanumoorthy: Spectral invariants for the non singular Quadric Hyper-Surface.Bull. Sc. Math. 2 Serie, 114, 1990, 361-371. MR 1069194 |
| Reference:
|
[12] E. C. Titchmarsch: The theory of the Riemann Zeta function.Oxford at the clarendon Press, Reprinted 1967. |
| Reference:
|
[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 0628842 |
| . |
