The Toolkit for Computations

Autor: Bruno Iochum, Michał Eckstein
Rok vydání: 2018
Předmět:
Zdroj: Spectral Action in Noncommutative Geometry ISBN: 9783319947877
DOI: 10.1007/978-3-319-94788-4_2
Popis: In this chapter we introduce a number of mathematical tools, which will prove useful in the spectral action computations. Firstly, we consider the basic properties of some spectral functions via the functional calculus and general Dirichlet series. Next, we study the interplay between these provided by the functional transforms of Mellin and Laplace. The remainder of the chapter is devoted to various notions from the theory of asymptotic behaviour of functions and distributions.
Databáze: OpenAIRE