3 papers
math.CV2019
Gaussian analytic functions and operator symbols of Dirichlet type
Haakan Hedenmalm, Serguei Shimorin
Let $\calH$ be a separable infinite-dimensional $\C$-linear Hilbert space, with sesquilinear inner product $\langle\cdot,\cdot\rangle_\calH$. Given any two orthonormal systems $x_1…
math.CV2010
Borcea's variance conjectures on the critical points of polynomials
Dmitry Khavinson, Rajesh Pereira, Mihai Putinar +2
Closely following recent ideas of J. Borcea, we discuss various modifications and relaxations of Sendov's conjecture about the location of critical points of a polynomial with comp…
math.CV2004
Weighted Bergman spaces and the integral means spectrum of conformal mappings
Haakan Hedenmalm, Serguei Shimorin
We study the so-called integral means spectrum for univalent functions on the unit disk. Using an inequality of Prawitz (generalizing the classical area theorem of Gronwall), we fi…