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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2007 Volume 258, Pages 7–16 (Mi tm472)
This article is cited in 5 papers

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.

UDC: 517.988

Received in July 2006


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

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