Zeta-Function and analytic renormalization
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 32 (1980) no. 3, pp. 249-256.
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     author = {Madore, J.},
     title = {Zeta-Function and analytic renormalization},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {249--256},
     publisher = {Gauthier-Villars},
     volume = {32},
     number = {3},
     year = {1980},
     mrnumber = {579962},
     zbl = {0434.58018},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1980__32_3_249_0/}
}
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Madore, J. Zeta-Function and analytic renormalization. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 32 (1980) no. 3, pp. 249-256. http://archive.numdam.org/item/AIHPA_1980__32_3_249_0/

[1] M. Atiyah, R. Bott, V.K. Patodi, Inventiones Math., t. 19, 1973, p. 279. | MR | Zbl

[2] P.B. Gilkey, The Index Theorem and the Heat Equation. Math. Lecture Series, t. 4, 1974. | MR | Zbl

[3] For a description of the classical ζ-and θ-functions see. for example, G. Sansone, J. Gerretsen, Lectures on the Theorey of Functions of a Complex Variable, P. Noordhoff-Groningen, 1960. | Zbl

[4] J.S. Dowker, R. Critchley, Phys. Rev., t. D 13, 1976, p. 3224; t. D 15, 1977, p. 1484. | MR

[5] S.W. Hawking, Comm. math. Phys., t. 55, 1977, p. 133. | MR | Zbl

[6] A.S. Schwarz, Letters in Math. Physics, t. 2, 1978, p. 247. | Zbl

[7] W. Heisenberg, H. Euler, Zeit. für Physik, t. 98, 1936, p. 714. | JFM | Zbl

[8] E.R. Speer, Dimensional and Analytic Renormalization, Ettore Majorana Summer School, Erice, August 1975, G. Velo, A. S. Wightman Editors, and references therein. | MR

[9] S. Coleman, E. Weinberg, Phys. Rev., t. D 7, 1973, p. 1888.

[10] J. Schwinger, Phys. Rev., t. 82, 1951, p. 664. | Zbl

[11] See, for example, E.S. Abers, B.W. Lee, Physics Reports, t. 9 C, 1973, Number 1.

[12] E. Brezin, C. Itzykson, Phys. Rev., t. D 2, 1970, p. 1191.

[13] R.T. Seeley, Amer. Math. Soc. Proc. Symp. Pure Math., t. 10, 1967, p. 288. | MR | Zbl