Geodesic
Wick polynomials in a space with indefinite metric
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 2, pp. 145-156 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Fok representation of canonical commutation relations is extended in a Poincaré-invariant manner to a class of test functions that contains, in particular, functions with power and logarithmic asymptotic behavior on the mass hyperboloid. In the space with indefinite metric in which the extended representation is realized, the Wick polynomials of free fields at a fixed point of space-time are well-defined operators. 
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     title = {Wick polynomials in a space with indefinite metric},
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O. I. Zavialov. Wick polynomials in a space with indefinite metric. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 2, pp. 145-156. http://geodesic.mathdoc.fr/item/TMF_1973_16_2_a0/

[1] N. N. Bogolyubov, O. S. Parasyuk, Acta Math., 97 (1957), 227 ; K. Hepp, Commun. Math. Phys., 2 (1966) | DOI | MR | Zbl | DOI | MR | Zbl

[2] B. V. Medvedev, M. K. Polivanov, Lektsii v Mezhdunarodnoi zimnei shkole teoreticheskoi fiziki, t. I, Dubna, 1964, 77

[3] R. Haag, Ann. Phys., 11 (1963), 29 | DOI | MR

[4] P. Kristensen, L. Mejlbo, Thoe E. Poulsen, Commun. Math. Phys., 1 (1965), 175 | DOI | MR | Zbl

[5] A. Grossmann, Commun. Math. Phys., 4 (1967), 203 | DOI | MR | Zbl

[6] R. Ascoli, G. Epifanio, A. Restivo, Commun. Math. Phys., 18 (1970), 291 | DOI | MR | Zbl

[7] J. M. Cook, Trans. Amer. Math. Soc., 74 (1953), 222 | DOI | MR | Zbl

[8] B. M. Levitan, Pochti-periodicheskie funktsii, GITL, 1953 | MR

[9] F. A. Berezin, Mat. sb., 60 (102) (1963), 425 | MR

[10] Yu. P. Ginzburg, I. S. Iokhvidov, UMN, XVII:4 (106) (1962), 3 | MR