- Tytuł:
- Operators preserving orthogonality of polynomials
- Autorzy:
-
Marcellán, Francisco
Szafraniec, Franciszek - Powiązania:
- https://bibliotekanauki.pl/articles/1287313.pdf
- Data publikacji:
- 1996
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Laguerre polynomials
polynomials orthogonal on the unit circle
linear operators preserving orthogonality - Opis:
- Let S be a degree preserving linear operator of ℝ[X] into itself. The question is if, preserving orthogonality of some orthogonal polynomial sequences, S must necessarily be an operator of composition with some affine function of ℝ. In [2] this problem was considered for S mapping sequences of Laguerre polynomials onto sequences of orthogonal polynomials. Here we improve substantially the theorems of [2] as well as disprove the conjecture proposed there. We also consider the same questions for polynomials orthogonal on the unit circle.
- Źródło:
-
Studia Mathematica; 1996, 120, 3; 205-218
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł