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On a problem of K. Mahler: Diophantine approximation and Cantor sets

โœ Scribed by Jason Levesley; Cem Salp; Sanju L. Velani

Publisher
Springer
Year
2006
Tongue
English
Weight
314 KB
Volume
338
Category
Article
ISSN
0025-5831

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๐Ÿ“œ SIMILAR VOLUMES

Orthogonal polynomials on a family of Ca
Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings
โœ D. Bessis; M. L. Mehta; P. Moussa ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Springer ๐ŸŒ English โš– 518 KB

A B ST R ACT. We first study a family of invariant transformations for the integer moment problem. The fixed point of these transformations generates a positive measure with support on a Cantor set depending on a parameter q. We analyze the structure and properties of the set of orthogonal polynomia