- Tytuł:
- The smallest positive eigenvalue of a quasisymmetric automorphism of the unit circle
- Autorzy:
- Partyka, Dariusz
- Powiązania:
- https://bibliotekanauki.pl/articles/1360039.pdf
- Data publikacji:
- 1995
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
quasisymmetric automorphisms
harmonic conjugation operator
quasiconformal mappings
eigenvalues and spectral values of a linear operator
Teichmüller mappings - Opis:
- This paper provides sufficient conditions on a quasisymmetric automorphism γ of the unit circle which guarantee the existence of the smallest positive eigenvalue of γ. They are expressed by means of a regular quasiconformal Teichmüller self-mapping φ of the unit disc Δ. In particular, the norm of the generalized harmonic conjugation operator $A_γ:ℍ → ℍ$ is determined by the maximal dilatation of φ. A characterization of all eigenvalues of a quasisymmetric automorphism γ in terms of the smallest positive eigenvalue of some other quasisymmetric automorphism σ is given.
- Źródło:
-
Banach Center Publications; 1995, 31, 1; 303-310
0137-6934 - Pojawia się w:
- Banach Center Publications
- Dostawca treści:
- Biblioteka Nauki
Artykuł