153 citations · 442 across the 33 of their papers we have counts for
35 papers
Dirichlet symbols and the nonlinear wave equation
Ramlal Debnath, Haakan Hedenmalm
We study the operator symbols of Dirichlet type introduced by Hedenmalm and Shimorin (2020), in connection with a given contraction on of the unit disk. They are always holom…
Spectral interpretation of Riemann zeta zeros
Haakan Hedenmalm
It is a well-known problem to identify the nontrivial zeros of the Riemann zeta function in terms of an eigenvalue problem. We here find such an eigenvalue problem for second order…
Liouville phenomenon for the Klein-Gordon equation in 1+1 dimensions
Haakan Hedenmalm
We study the Klein-Gordon equation in one spatial and one temporal dimension. Physically, this equation describes the wave function of a relativistic spinless boson with positive r…
Discrete Gaussian Free Field via Hadamard's formula
Haakan Hedenmalm, Pavel Mozolyako, Daniil Panov
We present a novel way of constructing the Gaussian Free Field on a weighted graph via a dynamical expansion of the Green function along an expanding family of subgraphs. Along the…
A Bombieri-type inequality and equidistribution of points
Ujué Etayo, Haakan Hedenmalm, Joaquim Ortega-Cerdà
In recent work, Etayo introduces a new Bombieri-type inequality for monic polynomials. Here we reinterpret this new inequality as a more general integral inequality involving the G…
Quasicircles and hyperbolic zero packing
Haakan Hedenmalm
We look at the work of Oleg Ivrii connected with the dimension of quasicircles for asymptotically small quasiconformality parameter . We intend to make this work more easily acc…