A generalization of trigonometric convexity and its relation to positive harmonic functions in homogeneous domains

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dc.creatorAzarin, V.
dc.creatorDrasin, D.
dc.creatorPoggi-Corradini, P.
dc.date2004-07-18
dc.date.accessioned2026-07-07T05:10:26Z
dc.date.available2026-07-07T05:10:26Z
dc.descriptionWe consider functions which are subfunctions with respect to the differential operator $$L_ρ= \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} + 2ρ\frac{\partial}{\partial x} + ρ^2 $$ and are doubly periodic in the plane. These functions play an important role in describing the asymptotic behavior of entire and subharmonic functions of finite order. In studying their properties we are led to problems concerning the uniqueness of Martin functions and the critical value for the parameter $ρ$ in the homogeneous boundary problem for the operator $L_ρ$ in a domain on the torus.
dc.description41 pages; to appear in Journal d'Analyse Mathematique
dc.identifierhttps://arxiv.org/abs/math/0407315
dc.identifierhttp://arxiv.org/abs/math/0407315
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71933
dc.subjectComplex Variables
dc.subjectAnalysis of PDEs
dc.titleA generalization of trigonometric convexity and its relation to positive harmonic functions in homogeneous domains
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