Mathematical Reports - Comptes rendus mathématiques

of the Academy of Science | de l'Académie des sciences

  • Home
  • Articles
  • News
  • Editorial Board
  • General Information
    • General Information
    • Preparation of Manuscripts
    • Subscription Information
    • FAQ
    • Help
 

Vol.43 (2) 2021 — 3 results found.

Show all abstractsHide all abstracts

KAM-renormalization and Herman Rings for 2D Maps
C. R. Math. Rep. Acad. Sci. Canada Vol. 43 (2) 2021, pp. 78-86
Michael Yampolsky (Received: 2021/03/14, Revised: 2021/04/21)

[+ show]Hide Abstract

In this note, we extend the renormalization horseshoe we have recently constructed with N. Goncharuk for analytic diffeomorphisms of the circle to their small two-dimensional perturbations. As one consequence, Herman rings with rotation numbers of bounded type survive on a codimension one set of parameters under small two-dimensional perturbations.

On étend le fer à cheval de renormalisation récemment construit avec N. Goncharuk pour les difféomorphismes analytiques du cercle à leurs petites perturbations à deux dimensions. Il suit que les anneaux de Herman à nombre de rotation de type borné survivent sur un ensemble de paramètres à codimension un sous petites perturbations à deux dimensions.

A Weighted Average of $L$-functions of Modular Forms
C. R. Math. Rep. Acad. Sci. Canada Vol. 43 (2) 2021, pp. 63-77
M. Manickam; V. Kumar Murty, FRSC; E. M. Sandeep (Received: 2021/03/09, Revised: 2021/04/14)

[+ show]Hide Abstract

We consider a kernel function introduced by Kohnen and prove an asymptotic formula for a weighted sum of \(L\)-functions of modular forms.

On considère une fonction noyau introduite par Kohnen et démontre une formule asymptotique pour une somme pondérée de fonctions L de forms modulaires.

A Note on $\mathfrak{su}(2)$ Models and the Biorthogonality of Generating Functions of Krawtchouk Polynomials
C. R. Math. Rep. Acad. Sci. Canada Vol. 43 (2) 2021, pp. 46-62
Luc Vinet, FRSC; Alexei Zhendanov (Received: 2021/04/03)

[+ show]Hide Abstract

Eigenvalue problems on irreducible \(\mathfrak{su}(2)\) modules and their adjoints are considered in the Bargmann, Barut-Girardello and finite difference models. The biorthogonality relations that arise between the corresponding generating functions of the Krawtchouk polynomials are sorted out. A link with Padé approximation is made.

Des problèmes aux valeurs propres sur les modulesirréductibles de \(\mathfrak{su}(2)\) et leurs adjoints sont examinés dans les modèles de Bargmann, Barut–Girardello et aux différences finies. Les relations de biorthogonalité qui apparaissent entre les fonctions génératrices correspondantes des polynômes de Krawtchouk sont identifiées. Un lien avec l’approximation de Padé est fait.

 Volume / Issue

Most used Keywords

algebraic number theory approximation property automorphisms Bessel functions Boson-fermion correspondence C*-algebra Carmichael number center problem Chebyshev transform classification Classification of simple C*-algebras composition operators continued fractions Cuntz Semigroup elliptic curves fixed point Fourier transform function fields. functoriality general relativity generic property ideals indefinite inner product inductive limits of sub-homogeneous C*- algebras Irrational rotation algebra J-Hermitian matrix K-theory Kahler manifolds L-functions maximal ideal space nonexpansive mapping noninterlacing numerical range orthogonal polynomials Predual space prime number property SP Renormalization rotation algebras Salem number semi-reciprocal polynomials tracially approximate splitting interval algebras unbounded traces Weak Markov set Whitney problems

Most used AMS

05C05 11A07 11A55 11B37 11B68 11D09 11D25 11D41 11E04 11F11 11F66 11F67 11G05 11R09 11R11 13B25 14J26 14M25 14P10 17B37 17B67 19K14 19K56 26A51 30C15 30H05 35B 37E10 37E20 37F25 39B72 42C05 43A07 46B20 46L05 46L35 46L40 46L55 46L80 47H10 53B25 53C55 54C60 60F10 83C05

Be notified of new issues

Copyright © 2022 · The Royal Society of Canada | La Société royale du Canada · Log in
ISSN: 2816-5810 (Online)