This book gives a detailed and self-contained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, s…
Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings; that is, one-dimensional drums with fractal boundary. This second edition of Fractal Geometry, Complex Dimensions and Zeta Functions will appeal to…
"Spectral geometry runs through much of contemporary mathematics, drawing on and stimulating developments in such diverse areas as Lie algebras, graph theory, group representation theory, and Riemannian geometry. The aim is to relate the spectrum of the Laplace operator or its g…
Spectral geometry of manifolds with boundary and decomposition of manifolds: proceedings of the Workshop on Spectral Geometry …
by Booss-Bavnbek, Bernhelm, Grubb, Gerd, Wojciechowski, Krzysztof P., Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde
Spectral geometry of manifolds with boundary and decomposition of manifolds: proceedings of the Workshop on Spectral Geometry …
by Booss-Bavnbek, Bernhelm, Grubb, Gerd, Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde (Denmark)), Wojciechowski, Krzysztof P., Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde
The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the eigenvalue of the Laplacian, Cheeger and Yau's estimate of the first eigenvalue, the Lic…