Spectral invariant of the zeta function of the Laplacian on Sp ( r + 1 ) / Sp ( 1 ) × Sp ( r )

Neelacanta Sthanumoorthy

Archivum Mathematicum (1991)

  • Volume: 027, Issue: 1-2, page 95-104
  • ISSN: 0044-8753

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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 027.1-2 (1991): 95-104. <http://eudml.org/doc/18319>.

@article{Sthanumoorthy1991,
author = {Sthanumoorthy, Neelacanta},
journal = {Archivum Mathematicum},
keywords = {eigenvalues of the Laplace-Beltrami operator; zeta function; spectral invariant},
language = {eng},
number = {1-2},
pages = {95-104},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Spectral invariant of the zeta function of the Laplacian on $\operatorname\{Sp\}(r+1)/\operatorname\{Sp\}(1)\times \operatorname\{Sp\}(r)$},
url = {http://eudml.org/doc/18319},
volume = {027},
year = {1991},
}

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
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 027
IS - 1-2
SP - 95
EP - 104
LA - eng
KW - eigenvalues of the Laplace-Beltrami operator; zeta function; spectral invariant
UR - http://eudml.org/doc/18319
ER -

References

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  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. (1973) Zbl0268.58010MR0331443
  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. (1975) Zbl0297.58008MR0397797
  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. (1975) Zbl0314.58016MR0397798
  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. (1976) Zbl0325.58015MR0397799
  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. (1978) Zbl0392.53033MR0510492
  6. K. Mahler, Über eine Satz von Mellin, Mathematische Annalen 100 Band (1928), 384-398. (1928) Zbl54.0369.03MR1512491
  7. R. T. Seeley, Complex powers of an elliptic operator, Proc. Symposium in Pure Math., Vol. 10, Ameг. Math. Soc. (1967), 288-307. (1967) Zbl0159.15504MR0237943
  8. N. Sthanumoorthy, Spectra of de Rham Hodge operator on SO ( n + 2 ) / SO ( 2 ) × SO ( n ) , Bull. Sc. Math. 2 serie 108 (1984), 297-320. (1984) Zbl0559.58004MR0771915
  9. N. Sthanumoorthy, Spectra of de Rham Hodge operator on Sp ( n + 1 ) / Sp ( 1 ) × Sp ( n ) , Bull. Soc. Math. (1986), Bull. Sc. Math; 2 Serie, Vol. 111, 1987, 201-227. (1986) MR0903337
  10. N. Sthanumoorthy, Spectral invariant of the Zeta function of the Laplacian on S 4 n - 1 , Indian J. Puгe Appl. Math., Vol. 19(5), 1988, 407-414. (19(5) Zbl0651.58036MR0941426
  11. N. Sthanumoorthy, Spectral invariants for the non singular Quadric Hyper-Surface, Bull. Sc. Math. 2 Serie, 114, 1990, 361-371. (1990) Zbl0704.58006MR1069194
  12. E. C. Titchmarsch, The theory of the Riemann Zeta function, Oxford at the clarendon Press, Reprinted 1967. (1967) 
  13. C. Tsukamoto, Spectra of Laplace Beltrami operators on SO ( n + 2 ) / SO ( 2 ) × SO ( n ) and Sp ( n + 1 ) / Sp ( 1 ) × Sp ( n ) , Osaka. J. Math. 18 (1981), 407-426. (1981) Zbl0477.53048MR0628842

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