Download Spectral Functions in Mathematics and Physics by Klaus Kirsten PDF

By Klaus Kirsten

The literature at the spectral research of moment order elliptic differential operators encompasses a good deal of data at the spectral services for explicitly identified spectra. an identical isn't precise, even if, for events the place the spectra usually are not explicitly recognized. during the last a number of years, the writer and his colleagues have constructed new, leading edge equipment for the precise research of numerous spectral features taking place in spectral geometry and below exterior stipulations in statistical mechanics and quantum box conception.

Spectral services in arithmetic and Physics offers an in depth review of those advances. the writer develops and applies equipment for examining determinants coming up whilst the exterior stipulations originate from the Casimir impression, dielectric media, scalar backgrounds, and magnetic backgrounds. The zeta functionality underlies all of those recommendations, and the ebook starts off through deriving its simple houses and relatives to the spectral capabilities. the writer then makes use of these relatives to enhance and observe equipment for calculating warmth kernel coefficients, sensible determinants, and Casimir energies. He additionally explores purposes within the non-relativistic context, particularly employing the recommendations to the Bose-Einstein condensation of an excellent Bose gas.

Self-contained and obviously written, Spectral features in arithmetic and Physics deals a special chance to procure invaluable new ideas, use them in a number of functions, and be encouraged to make extra advances.

Show description

Read Online or Download Spectral Functions in Mathematics and Physics PDF

Best functional analysis books

Random Probability Measures on Polish Spaces (Stochastics Monographs)

This monograph offers a radical, complete research of the slim topology on random likelihood measures on Polish areas. As a distinct characteristic, the writer makes no extra assumptions at the likelihood area within the historical past, akin to completeness or a countable generated algebra. one of many major effects provided is an instantaneous evidence of the random analog of the Prohorov theorem, that's bought with out invoking an embedding of the Polish area right into a compact house.

Holomorphic Operator Functions of One Variable and Applications: Methods from Complex Analysis in Several Variables: 192 (Operator Theory: Advances and Applications)

This e-book provides holomorphic operator services of a unmarried variable and functions, that are all for the kinfolk among neighborhood and worldwide theories. it truly is in keeping with tools and technics of advanced research of numerous variables.

Theory of Approximate Functional Equations: In Banach Algebras, Inner Product Spaces and Amenable Groups

Almost immediately no different ebook offers with the steadiness challenge of useful equations in Banach algebras, internal product areas and amenable teams. additionally, in so much balance theorems for practical equations, the completeness of the objective area of the unknown capabilities inside the equation is believed.

Elements of Hilbert Spaces and Operator Theory

The booklet offers an advent to the geometry of Hilbert areas and operator idea, focusing on graduate and senior undergraduate scholars of arithmetic. significant issues mentioned within the publication are internal product areas, linear operators, spectral idea and distinctive periods of operators, and Banach areas.

Extra info for Spectral Functions in Mathematics and Physics

Example text

Download PDF sample

Rated 4.62 of 5 – based on 49 votes