RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1989 Volume 170, Pages 82–89 (Mi znsl4455)

Poisson kernel is the only approximative identity asymptotically multiplicative on $H^\infty$

H. Wolf, V. P. Havin


Abstract: Every approximative identity asymptotically multiplicative with respect to $H^\infty(\mathbb{R})$ (or to $H^\infty(\mathbb{T})$) is necessarily a shift and a contraction of the Poisson kernel.

UDC: 517.85


 English version:
Journal of Soviet Mathematics, 1993, 63:2, 159–163

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025