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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 98, Number 3, Pages 524–535 (Mi tmf1560)  

This article is cited in 11 scientific papers (total in 12 papers)

Calogero quantum problem, Knizhnik–Zamolodchikov equation and Huygens principle

A. P. Veselov
References:
Abstract: The interrelations between Calogero quantum problem and Knizhnik–Zamolodchikov equation are described following Matsuo, Cherednik, Felder and the author. As the basic tool of the considerations the Dunkl operator is used. The generalizations related to arbitrary Coxeter group and the applications to the Hadamard problem about the hyperbolic equations with the Huygens principle are discussed.
English version:
Theoretical and Mathematical Physics, 1994, Volume 98, Issue 3, Pages 368–376
DOI: https://doi.org/10.1007/BF01102214
Bibliographic databases:
Language: Russian
Citation: A. P. Veselov, “Calogero quantum problem, Knizhnik–Zamolodchikov equation and Huygens principle”, TMF, 98:3 (1994), 524–535; Theoret. and Math. Phys., 98:3 (1994), 368–376
Citation in format AMSBIB
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\by A.~P.~Veselov
\paper Calogero quantum problem, Knizhnik--Zamolodchikov equation and Huygens principle
\jour TMF
\yr 1994
\vol 98
\issue 3
\pages 524--535
\mathnet{http://mi.mathnet.ru/tmf1560}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1304748}
\zmath{https://zbmath.org/?q=an:0833.35118}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 98
\issue 3
\pages 368--376
\crossref{https://doi.org/10.1007/BF01102214}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PQ98700018}
Linking options:
  • https://www.mathnet.ru/eng/tmf1560
  • https://www.mathnet.ru/eng/tmf/v98/i3/p524
  • This publication is cited in the following 12 articles:
    1. A. Grekov, A. Zabrodin, A. Zotov, “Supersymmetric extension of qKZ-Ruijsenaars correspondence”, Nuclear Phys. B, 939 (2019), 174–190  mathnet  crossref  isi  scopus
    2. A. Zabrodin, A. Zotov, “KZ-Calogero correspondence revisited”, J. Phys. A, 50 (2017), 205202–12  mathnet  crossref  isi  scopus
    3. K. R. Zabirova, V. V. Napalkov, “Composition Operators of Convolution and Multiplication by a Function”, Math. Notes, 99:3 (2016), 368–377  mathnet  crossref  crossref  mathscinet  isi  elib
    4. V. E. Adler, Yu. Yu. Berest, V. M. Buchstaber, P. G. Grinevich, B. A. Dubrovin, I. M. Krichever, S. P. Novikov, A. N. Sergeev, M. V. Feigin, J. Felder, E. V. Ferapontov, O. A. Chalykh, P. I. Etingof, “Alexander Petrovich Veselov (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1159–1176  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    5. K. M. Bulycheva, A. S. Gorsky, “Limit cycles in renormalization group dynamics”, Phys. Usp., 57:2 (2014), 171–182  mathnet  crossref  crossref  adsnasa  isi  elib  elib
    6. K. Bulycheva, A. Gorsky, “BPS states in the Ω-background and torus knots”, J. High Energ. Phys., 2014:4 (2014)  crossref
    7. A. P. Veselov, Progress in Mathematics, 169, European Congress of Mathematics, 1998, 259  crossref
    8. V. A. Golubeva, V. P. Leksin, “On reconstruction of Veselov–Felder formula in the theory of Calogero–Sutherland operators”, Theoret. and Math. Phys., 106:1 (1996), 50–60  mathnet  crossref  crossref  mathscinet  zmath  isi
    9. V. M. Buchstaber, A. P. Veselov, “On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera”, Math Z, 223:4 (1996), 595  crossref
    10. V. M. Buchstaber, A. P. Veselov, “On a remarkable functional equation in the theory of generalized Dunkl operators and transformations of elliptic genera”, Math Z, 223:1 (1996), 595  crossref
    11. V. M. Buchstaber, A. P. Veselov, “Dunkl operators, functional equations, and transformations of elliptic genera”, Russian Math. Surveys, 49:2 (1994), 145–147  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    12. Yu. Yu. Berest, A. P. Veselov, “Huygens' principle and integrability”, Russian Math. Surveys, 49:6 (1994), 5–77  mathnet  crossref  mathscinet  zmath  adsnasa  isi
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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