9 papers
Quartic Fourier-Laplace limits for -Rogers-SzegÅ polynomials
Per à hag, RafaŠCzyż, Per-Håkan Lundow
We prove asymptotic formulae for positive real -Rogers-SzegÅ polynomials when the quadratic term in the expansion about the middle coefficient vanishes. For coefficient ind…
On -binomial coefficient ratios for complex parameters
Per à hag, RafaŠCzyż, Per-Håkan Lundow
We prove local asymptotics for near-central complex -binomial coefficient moduli ratios allowing an imaginary parameter perturbation of order at a leng…
Maximal Plurisubharmonic Functions and Fujii-Seo Determinants in Hilbert spaces
Per à hag, RafaŠCzyż, Antti Perälä +1
Let be a complex Hilbert space and let be a domain. In infinite dimensions, there is no canonical complex Monge--Ampère operator and no basis-free determinant of…
Explicit Solutions in Isotropic Planar Elastostatics
Andreas Granath, Per à hag, Antti Perälä +1
Addressing the intricate challenges in plane elasticity, especially with non-vanishing traction and complex geometries, requires innovative methods. This paper offers a novel appro…
On manifold-like polyfolds as differential geometrical objects with applications in complex geometry
Per à hag, RafaŠCzyż, Håkan Samuelsson Kalm +1
We argue for more widespread use of manifold-like polyfolds (M-polyfolds) as differential geometric objects. M-polyfolds possess a distinct advantage over differentiable manifolds,…
Continuity of Solutions to Complex Hessian Equations via the Dinew-KoÅodziej Estimate
Per à hag, RafaŠCzyż
This study extends the celebrated volume-capacity estimates of Dinew and Kolodziej, providing a foundation for examining the regularity of solutions to boundary value problems for…