Geodesic
On the class of distributions compatible with locality
Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 2, pp. 183-191

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An investigation is made of the question of the largest class of distributions that admits a formulation of microcausality. To this end a study is made of the local properties of functionals over quasianalytic classes. Such functionals are shown to allow a natural generalization of the notion of concentration on a fixed set. It is shown that, in contrast to the usual case of test-function spaces of ftmctions with compact support, the limit of a sequence of functionals that are concentrated on a fixed set need not be concentrated on this set. 
@article{TMF_1971_7_2_a1,
     author = {M. A. Soloviev},
     title = {On the class of distributions compatible with locality},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {183--191},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_7_2_a1/}
}
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M. A. Soloviev. On the class of distributions compatible with locality. Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 2, pp. 183-191. http://geodesic.mathdoc.fr/item/TMF_1971_7_2_a1/