Abstract
Under some conditions on a Hilbert space $H$ of analytic functions on the open unit disc we will show that for every nontrivial invariant subspace $\mathcal{M}$ of $H$, there exists a unique nonconstant inner function $\varphi$ such that $\mathcal{M}=\varphi H$. This extends the Beurling’s Theorem.
Citation
Esmaiel Hesameddini. Bahmann Yousefi. "Extension of the Beurling’s Theorem." Proc. Japan Acad. Ser. A Math. Sci. 84 (9) 167 - 169, November 2008. https://doi.org/10.3792/pjaa.84.167
Information
