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Mathematics of the USSR-Izvestiya, 1988, Volume 31, Issue 3, Pages 575–601
DOI: https://doi.org/10.1070/IM1988v031n03ABEH001090 (Mi im1340) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Infinite-dimensional pseudodifferential operators

A. Yu. Khrennikov
English version PDF (1513 kB) Citations (15)
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DOI: https://doi.org/10.1070/IM1988v031n03ABEH001090
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.
Received: 17.10.1985
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1987, Volume 51, Issue 6, Pages 1265–1291
Bibliographic databases:
UDC: 517.948+513.8+519.4
MSC: Primary 35S05, 81E05, 26E15; Secondary 81C30, 35S10, 28C20, 47G05, 58D20, 58D30, 46N05, 6
Language: English
Original paper language: Russian
Citation: A. Yu. Khrennikov, “Infinite-dimensional pseudodifferential operators”, Izv. Akad. Nauk SSSR Ser. Mat., 51:6 (1987), 1265–1291; Math. USSR-Izv., 31:3 (1988), 575–601
Citation in format AMSBIB
\Bibitem{Khr87}
\by A.~Yu.~Khrennikov
\paper Infinite-dimensional pseudodifferential operators
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1987
\vol 51
\issue 6
\pages 1265--1291
\mathnet{http://mi.mathnet.ru/im1340}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=933964}
\zmath{https://zbmath.org/?q=an:0685.35107|0658.35099}
\transl
\jour Math. USSR-Izv.
\yr 1988
\vol 31
\issue 3
\pages 575--601
\crossref{https://doi.org/10.1070/IM1988v031n03ABEH001090}
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  • https://www.mathnet.ru/eng/im/v51/i6/p1265
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:446
    Russian version PDF:170
    English version PDF:20
    References:53
    First page:1
     
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