Invariant rational functions and a problem of Steenrod
β Scribed by Richard G. Swan
- Publisher
- Springer-Verlag
- Year
- 1969
- Tongue
- English
- Weight
- 586 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0020-9910
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π SIMILAR VOLUMES
The structure of rational functions of two real variables which take few distinct values on large (finite) Cartesian products is described. As an application, a problem of G. Purdy is solved on finite subsets of the plane which determine few distinct distances.
We present some general results concerning so-called biorthogonal polynomials of R II type introduced by M. Ismail and D. Masson. These polynomials give rise to a pair of rational functions which are biorthogonal with respect to a linear functional. It is shown that these rational functions naturall