4 papers · 1 filter
The Complete Crouzeix Conjecture in Dimension Three and the Clouâtre-Ostermann-Ransford conjecture
Per Åhag, Rafał Czyż, Jani Virtanen
We settle the complete Crouzeix conjecture for matrices of order at most three and prove the Q-algebra case of the completely bounded Clouâtre--Ostermann--Ransford (COR) conjecture…
Quartic Fourier-Laplace limits for -Rogers-Szegő polynomials
Per Åhag, Rafał Czyż, Per-Håkan Lundow
We prove asymptotic formulae for -Rogers--Szegő polynomials with positive real parameters when the leading quadratic term in the logarithmic expansion about the middle coeff…
On -binomial coefficient ratios for complex parameters
Per Åhag, Rafał Czyż, Per-Håkan Lundow
We prove local asymptotics for near-central complex -binomial coefficient modulus ratios allowing an imaginary parameter perturbation of order at a len…
Maximal Plurisubharmonic Functions and Fujii-Seo Determinants in Hilbert spaces
Per Åhag, Rafał Czyż, Antti Perälä +1
A maximal plurisubharmonic function on an infinite-dimensional Hilbert space can have an injective, noncompact Levi operator at every point. This raises the question of what replac…