Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
199-208
Opis fizyczny
Daty
wydano
1999
otrzymano
1997-07-18
poprawiono
1999-05-12
Twórcy
autor
- Department of Electrical Engineering, University of Kinki, Iizuka, Fukuoka 820-8555, Japan
Bibliografia
- [1] J. S. Choi, Ph.D. thesis, Florida State Univ., 1991.
- [2] J. S. Choi, Determinant of Laplacian on S³, Math. Japon. 40 (1994), 155-166.
- [3] J. S. Choi and H. M. Srivastava, An application of the theory of the double Gamma function, Kyushu J. Math. 53 (1999), 209-222.
- [4] L. Comtet, Advanced Combinatorics, Reidel, 1974.
- [5] E. D'Hoker and D. H. Phong, Multiloop amplitudes for the bosonic Polyakov string, Nuclear Phys. B 269 (1986), 205-234.
- [6] E. D'Hoker and D. H. Phong, On determinants of Laplacians on Riemann surfaces, Comm. Math. Phys. 104 (1986), 537-545.
- [7] I. Efrat, Determinants of Laplacians on surfaces of finite volume, ibid. 119 (1988), 443-451; erratum, ibid. 138 (1991), 607.
- [8] S. Kanemitsu, M. Katsurada and M. Yoshimoto, On the Hurwitz-Lerch zeta function, to appear.
- [9] E. Onofri, On the positivity of the effective action in a theory of random surface, Comm. Math. Phys. 86 (1982), 321-326.
- [10] B. Osgood, R. Phillips and P. Sarnak, Extremals of determinants of Laplacians, J. Funct. Anal. 80 (1988), 148-211.
- [11] J. R. Quine and J. Choi, Zeta regularized products and functional determinants on spheres, Rocky Mountain J. Math. 26 (1996), 719-729.
- [12] P. Sarnak, Determinants of Laplacians, Comm. Math. Phys. 110 (1987), 113-120.
- [13] A. Terras, Harmonic Analysis on Symmetric Space and Applications. I, Springer, 1985.
- [14] I. Vardi, Determinants of Laplacians and multiple gamma functions, SIAM J. Math. Anal. 19 (1988), 493-507.
- [15] N. Yu. Vilenkin, Special Functions and the Theory of Group Representations, Amer. Math. Soc. Transl. 22, Amer. Math. Soc., 1968, p. 494.
- [16] A. Voros, Spectral functions, special functions and the Selberg zeta function, Comm. Math. Phys. 110 (1987), 439-465.
- [17] W. I. Weisberger, Conformal invariants for determinants of Laplacians on Riemann surfaces, ibid. 112 (1987), 633-638.
- [18] W. I. Weisberger, Normalization of the path integral measure and the coupling constants for the bosonic strings, Nuclear Phys. B 284 (1987), 171-200.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-aav91i3p199bwm