6 citations · 30 across the 19 of their papers we have counts for
28 papers
Some aspects of the spectral theory with twisting representations
Anke Pohl
In recent years, significant advancements have been made in understanding the spectral theory of hyperbolic spaces, particularly in the context of twisting representations, both un…
The divisor of the twisted Selberg zeta function
Moritz Doll, Anke Pohl
For the Selberg zeta function of geometrically finite infinite-area hyperbolic orbisurfaces with twists by finite-dimensional unitary representations, we establish a factorization…
Selberg zeta functions, cuspidal accelerations, and existence of strict transfer operator approaches
Anke Pohl, Paul Wabnitz
For geometrically finite non-compact developable hyperbolic orbisurfaces (including those of infinite volume), we provide transfer operator families whose Fredholm determinants are…
Scattering Theory with Unitary Twists
Moritz Doll, Ksenia Fedosova, Anke Pohl
We study the spectral properties of the Laplace operator associated to a hyperbolic surface in the presence of a unitary representation of the fundamental group. Following the appr…
Fourier expansions of vector-valued automorphic functions with non-unitary twists
Ksenia Fedosova, Anke Pohl, Julie Rowlett
We provide Fourier expansions of vector-valued eigenfunctions of the hyperbolic Laplacian that are twist-periodic in a horocycle direction. The twist may be given by any endomorphi…
Counting Resonances on Hyperbolic Surfaces with Unitary Twists
Moritz Doll, Ksenia Fedosova, Anke Pohl
We present the Laplace operator associated to a hyperbolic surface and a unitary representation of the fundamental group , extending the previous definiti…