Complex analysis nowadays has higher-dimensional analoga: the algebra of complex
numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford …

Die Funktionentheorie, im englischen Sprachraum auch Komplexe Analysis genannt, hat in
ihrer mehr als 200jährigen Geschichte eine Vielzahl tiefliegender und ästhetischer …

We analyse the anisotropy of the cosmic microwave background (CMB) in hyperbolic
universes possessing a non-trivial topology with a fundamental cell having an infinitely long …

This book describes the basic theory of hypercomplex-analytic automorphic forms and
functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces …

In this work, we give an explicit formula for the Fourier coefficients of Eisenstein series
corresponding to certain arithmetic lattices acting on hyperbolic n+ 1 n+1‐space. As a …

This is Volume 1 of a two-volume book that provides a self-contained introduction to the
theory and application of automorphic forms, using examples to illustrate several critical …

A basic problem in the theory of quantization of chaotic Hamiltonians is that of the behavior
of the mass of eigenstates in the semiclassical limit. For the Hamiltonian which is the …

The worthy purpose of this text is to provide a complete, self-contained development of the
trace formula and theta inversion formula for SL (2, Z [i])\SL (2, C). Unlike other treatments of …

VII. Numerical Computation of Maass Waveforms and an Application to Cosmology Page 241
VII. Numerical Computation of Maass Waveforms and an Application to Cosmology Ralf Aurich1 …

We prove Kronecker's first limit formula for cofinite discrete subgroups of SL $(2,\mathbbC)
$, also called Kleinian groups, generalizing a method of Goldstein over SL $(2,\mathbb R) …