Spectral Geometry of Graphs
Spectral Geometry of Graphs
English | 2023 | ISBN: 3662678705 | 639 Pages | PDF EPUB (True) | 50 MB
English | 2023 | ISBN: 3662678705 | 639 Pages | PDF EPUB (True) | 50 MB
The trace formula is relating the spectrum to the set of periodic orbits and is comparable to the celebrated Selberg and Chazarain-Duistermaat-Guillemin-Melrose trace formulas. Unexpectedly this formula allows one to construct non-trivial crystalline measures and Fourier quasicrystals solving one of the long-standing problems in Fourier analysis. The remarkable story of this mathematical odyssey is presented in the first part of the book.