D. Seco

activity

20102026

most citedCyclicity in Dirichlet-type spaces and extremal polynomials

60 citations · 164 across the 14 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.CA2013

Cyclicity in reproducing kernel Hilbert spaces of analytic functions

Emmanuel Fricain, Javad Mashreghi, Daniel Seco

We introduce a large family of reproducing kernel Hilbert spaces $\mathcal{H} \subset \mbox{Hol}(\mathbb{D})$, which include the classical Dirichlet-type spaces $D_{α}$ , by…

math.FA2013★ 18 cited

Cyclicity in Dirichlet-type spaces and extremal polynomials II: functions on the bidisk

Catherine Bénéteau, Alberto A. Condori, Constanze Liaw +2

We study Dirichlet-type spaces $D_{α}$ of analytic functions in the unit bidisk and their cyclic elements. These are the functions $f$ for which there exists a sequence $(…

math.CA2013★ 60 cited

Cyclicity in Dirichlet-type spaces and extremal polynomials

Catherine Bénéteau, Alberto Condori, Constanze Liaw +2

For functions $f$ in Dirichlet-type spaces we study how to determine constructively optimal polynomials $p_{n}$ that minimize $∥ p f - 1 ∥_{α}$ among all polynomials $p$ of degree at mos…