**An Introduction to Hyperbolic Analysis**

by Andrei Khrennikov, Gavriel Segre

**Publisher**: arXiv 2005**Number of pages**: 42

**Description**:

Contents: The hyperbolic algebra as a bidimensional Clifford algebra; Limits and series in the hyperbolic plane; The hyperbolic Euler formula; Analytic functions in the hyperbolic plane; Multivalued functions on the hyperbolic plane and hyperbolic Riemann surfaces; Physical application to the vibrating string; Hyperbolic Analysis as the (1,0)-case of Clifford Analysis.

Download or read it online for free here:

**Download link**

(350KB, PDF)

## Similar books

**Little Magnetic Book**

by

**Nicolas Raymond**-

**arXiv**

'Little Magnetic Book' is devoted to the spectral analysis of the magnetic Laplacian in various geometric situations. In particular the influence of the geometry on the discrete spectrum is analysed in many asymptotic regimes.

(

**3276**views)

**LieART: A Mathematica Application for Lie Algebras and Representation Theory**

by

**Robert Feger, Thomas W. Kephart**-

**arXiv**

We present the Mathematica application LieART (Lie Algebras and Representation Theory) for computations in Lie Algebras and representation theory, such as tensor product decomposition and subalgebra branching of irreducible representations.

(

**6120**views)

**Quantum Spin Systems on Infinite Lattices**

by

**Pieter Naaijkens**-

**arXiv**

These are the lecture notes for a one semester course at Leibniz University Hannover. The main aim of the course is to give an introduction to the mathematical methods used in describing discrete quantum systems consisting of infinitely many sites.

(

**3917**views)

**Euclidean Random Matrices and Their Applications in Physics**

by

**A. Goetschy, S.E. Skipetrov**-

**arXiv**

We review the state of the art of the theory of Euclidean random matrices, focusing on the density of their eigenvalues. Both Hermitian and non-Hermitian matrices are considered and links with simpler random matrix ensembles are established.

(

**4775**views)