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 Tr. Mat. Inst. Steklova, 2007, Volume 258, Pages 7–16 (Mi tm472)

Topological Classification of Trigonometric Polynomials Related to the Affine Coxeter Group $\widetilde A_2$

V. I. Arnol'd

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: Trigonometric polynomials on the 2-torus that belong to a special six-parameter family are classified up to diffeomorphisms of the image and the preimage that are homotopic to the identity.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2007, 258, 3–12

Bibliographic databases:

UDC: 517.988
Received in July 2006

Citation: V. I. Arnol'd, “Topological Classification of Trigonometric Polynomials Related to the Affine Coxeter Group $\widetilde A_2$”, Analysis and singularities. Part 1, Collected papers. Dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday, Tr. Mat. Inst. Steklova, 258, Nauka, MAIK «Nauka/Inteperiodika», M., 2007, 7–16; Proc. Steklov Inst. Math., 258 (2007), 3–12

Citation in format AMSBIB
\Bibitem{Arn07} \by V.~I.~Arnol'd \paper Topological Classification of Trigonometric Polynomials Related to the Affine Coxeter Group~$\widetilde A_2$ \inbook Analysis and singularities. Part~1 \bookinfo Collected papers. Dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday \serial Tr. Mat. Inst. Steklova \yr 2007 \vol 258 \pages 7--16 \publ Nauka, MAIK «Nauka/Inteperiodika» \publaddr M. \mathnet{http://mi.mathnet.ru/tm472} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2400519} \zmath{https://zbmath.org/?q=an:1196.58004} \elib{http://elibrary.ru/item.asp?id=9549678} \transl \jour Proc. Steklov Inst. Math. \yr 2007 \vol 258 \pages 3--12 \crossref{https://doi.org/10.1134/S0081543807030029} \elib{http://elibrary.ru/item.asp?id=13562801} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-35148835163} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. V. I. Arnold, “Topological classification of Morse polynomials”, Proc. Steklov Inst. Math., 268 (2010), 32–48
2. A. S. Libin, “Large-scale structures as gradient lines: The case of the Trkal flow”, Theoret. and Math. Phys., 165:2 (2010), 1534–1551
3. Nicolaescu L.I., “Critical Points of Multidimensional Random Fourier Series: Central Limits”, Bernoulli, 24:2 (2018), 1128–1170
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