23 citations · 66 across the 17 of their papers we have counts for
20 papers
Vortex pairs and dipoles on closed surfaces
Björn Gustafsson
We set up general equations of motion for point vortex systems on closed Riemannian surfaces, allowing for the case that the sum of vorticities is not zero and there hence must be…
Ruminations on Hejhal's theorem about the Bergman and Szego kernels
Steven R. Bell, Bjorn Gustafsson
We give a new proof of Dennis Hejhal's theorem on the nondegeneracy of the matrix that appears in the identity relating the Bergman and Szego kernels of a smoothly bounded finitely…
Hadamard's variational formula and the energy-momentum tensor
Björn Gustafsson, Ahmed Sebbar
The Hadamard variational formula for the Green function is formulated in terms of a polarized energy-momentum tensor and a strain tensor. This is elaborated in a general setting of…
Finite term relations for the exponential orthogonal polynomials
Bjorn Gustafsson, Mihai Putinar
The exponential orthogonal polynomials encode via the theory of hyponormal operators a shade function supported by a bounded planar shape. We prove under natural regularity ass…
Vortex motion and geometric function theory: the role of connections
Björn Gustafsson
We formulate the equations for point vortex dynamics on a closed two dimensional Riemann manifold in the language of affine and other kinds of connections. The speed of a vortex is…
A field theoretic operator model and Cowen-Douglas class
Björn Gustafsson, Mihai Putinar
In resonance to a recent geometric framework proposed by Douglas and Yang, a functional model for certain linear bounded operators with rank-one self-commutator acting on a Hilbert…