Some finite-dimensional backward shift-invariant subspaces in the ball and a related factorization problem

Alpay, D; Kaptanoglu, HT

doi:10.1016/s0764-4442(00)01757-2

Some finite-dimensional backward shift-invariant subspaces in the ball and a related factorization problem

Atıf İçin Kopyala

Alpay D., Kaptanoglu H.

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, cilt.331, sa.12, ss.947-952, 2000 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 331 Sayı: 12
Basım Tarihi: 2000
Doi Numarası: 10.1016/s0764-4442(00)01757-2
Dergi Adı: COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.947-952
Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

Beurling's theorem characterizes subspaces of the Hardy space invariant under the forward-shift operator in terms of inner functions. In this Note we consider the case where the ball replaces the open unit desk and the reproducing kernel Hilbert space with reproducing kernel 1/(1-Sigma (N)(1) a(j)w(j)*) replaces the Hardy space. We give explicit formulas which generalize Blaschke products in the case of spaces of finite codimension. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.