Geodesic
On a~spectral condition for infrared singular quantum fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 3, pp. 405-411

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The problem of formulating the spectral condition for vacuum expectation values of quantum fields with singular infrared behavior is discussed. It is shown that this problem is closely connected with the problem of extending the Paley–Wiener–Schwartz theorem to wider distribution classes. Studying this connection leads to a generalized spectral condition applicable to fields of arbitrarily high singularity. 
@article{TMF_1995_105_3_a5,
     author = {M. A. Soloviev},
     title = {On a~spectral condition for infrared singular quantum fields},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {405--411},
     publisher = {mathdoc},
     volume = {105},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a5/}
}
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M. A. Soloviev. On a~spectral condition for infrared singular quantum fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 105 (1995) no. 3, pp. 405-411. http://geodesic.mathdoc.fr/item/TMF_1995_105_3_a5/