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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1987 Volume 51, Issue 6, Pages 1265–1291 (Mi im1340)

This article is cited in 15 papers

Infinite-dimensional pseudodifferential operators

A. Yu. Khrennikov


Abstract: A general theory is constructed for pseudodifferential operators on infinite-dimensional spaces. This theory is a natural basis for second quantization of field systems, as well as for quantization and second quantization of strings. Generalizations are considered to the case of infinite-dimensional superspaces (quantization and second quantization of superstrings, fermion fields, gauge theory of boson and fermion strings).
Bibliography: 55 titles.

UDC: 517.948+513.8+519.4

MSC: Primary 35S05, 81E05, 26E15; Secondary 81C30, 35S10, 28C20, 47G05, 58D20, 58D30, 46N05, 6

Received: 17.10.1985


 English version:
Mathematics of the USSR-Izvestiya, 1988, 31:3, 575–601

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