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Izvestiya: Mathematics, 2001, Volume 65, Issue 2, Pages 329–355
DOI: https://doi.org/10.1070/im2001v065n02ABEH000329 (Mi im329) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The index of Fourier integral operators on manifolds with conical singularities

V. E. Nazaikinskiia, B.-W. Schulzeb, B. Yu. Sternina

a M. V. Lomonosov Moscow State University
b University of Potsdam
English version PDF (602 kB) Citations (2)
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DOI: https://doi.org/10.1070/im2001v065n02ABEH000329
Abstract: We describe homogeneous canonical transformations of the cotangent bundle of a manifold with conical singular points and compute the index of an elliptic Fourier integral operator obtained by the quantization of such a transformation. The answer involves the index of an elliptic Fourier integral operator on a smooth manifold and the residues of the conormal symbol.
Received: 30.10.1998
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 2, Pages 127–154
DOI: https://doi.org/10.4213/im329
Bibliographic databases:
MSC: Primary 58G10, 58G12; Secondary 47A53, 47B25, 81Q60
Language: English
Original paper language: Russian
Citation: V. E. Nazaikinskii, B. Schulze, B. Yu. Sternin, “The index of Fourier integral operators on manifolds with conical singularities”, Izv. RAN. Ser. Mat., 65:2 (2001), 127–154; Izv. Math., 65:2 (2001), 329–355
Citation in format AMSBIB
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\by V.~E.~Nazaikinskii, B.~Schulze, B.~Yu.~Sternin
\paper The index of Fourier integral operators on manifolds with conical singularities
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 2
\pages 127--154
\mathnet{http://mi.mathnet.ru/im329}
\crossref{https://doi.org/10.4213/im329}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1842842}
\zmath{https://zbmath.org/?q=an:1004.58015}
\elib{https://elibrary.ru/item.asp?id=14130096}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 2
\pages 329--355
\crossref{https://doi.org/10.1070/im2001v065n02ABEH000329}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33747023908}
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  • https://doi.org/10.1070/im2001v065n02ABEH000329
  • https://www.mathnet.ru/eng/im/v65/i2/p127
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:659
    Russian version PDF:238
    English version PDF:24
    References:71
    First page:1
     
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