38 citations · 74 across the 16 of their papers we have counts for
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A Non-Autonomous Model for Parabolic Implosion
Katelynn Huneycutt, Samantha Sandberg-Clark, Liz Vivas
Orthogonal polynomials appear naturally in the study of compositions of Möbius transformations. In this paper, we consider several classes of orthogonal polynomials associated to n…
On the dimension of bundle-valued Bergman spaces on compact Riemann surfaces
Anne-Katrin Gallagher, Purvi Gupta, Liz Vivas
Given a holomorphic vector bundle over a compact Riemann surface , and an open set in , we prove that the Bergman space of holomorphic sections of the restriction of…
On the dimension of Bergman spaces on
Anne-Katrin Gallagher, Purvi Gupta, Liz Vivas
Inspired by a result by Szőke, we give potential-theoretic characterizations of the dimension of the Bergman space of holomorphic sections of a restriction of a holomorphic line bu…
Hardy Spaces for a Class of Singular Domains
Anne-Katrin Gallagher, Purvi Gupta, Loredana Lanzani +1
We set a framework for the study of Hardy spaces inherited by complements of analytic hypersurfaces in domains with a prior Hardy space structure. The inherited structure is a filt…
Non-autonomous Parabolic Bifurcation
Liz Vivas
Let and . A classical result in parabolic bifurcation in one complex variable is the following: if we obtain $(f_ε)^{N}…
Local dynamics of parabolic skew-products
Liz Vivas
The local dynamics around a fixed point has been extensively studied for germs of one and several complex variables. In one dimension, there exist a complete picture of the traject…