The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra. The same is not true, however, for situations where the spectra are not explicitly known. Over the last several years, the author and his colleagues have developed new,

chapter Chapter 1|8 pages


chapter Chapter 2|32 pages

A first look at zeta functions and heat traces

chapter Chapter 5|18 pages

Heat content asymptotics

chapter Chapter 6|30 pages

Functional determinants

chapter Chapter 7|26 pages

Casimir energies

chapter Chapter 10|6 pages