This book emphasizes the geometric approach to the spectral analysis of linear partial differential operators on Hilbert space which exploits the local action of the operator. The geometric techniques are illustrated through examples from the theory of Schrödinger operators. The…
The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his own research, Professor Motohashi shows that the function is closely bound with automorphic forms and that many results from there can be wov…
"A complete treatment of the Feynman-Kac formula is given. The theory is applied to such topics as compactness or trace class properties of differences of Feynman-Kac semigroups, preservation of absolutely continuous and/or essential spectra and completeness of scattered systems…
Geometric aspects of partial differential equations: proceedings of a Minisymposium on Spectral Invari…
by Booss, Bernhelm, Wojciechowski, Krzysztof P., Minisymposium on Spectral Invariants, Heat Equation Approach, Roskilde (Denmark))
fromContemporary mathematics (American Mathematical Society)
