Spectral Action in Noncommutative Geometry
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Beschreibung
Autor*in
Michał Eckstein
Themen in »Spectral Action in Noncommutative Geometry«
Spectral triples Mellin transforms action functional noncommutative geometry almost-commutative geometries noncommutative integral operator heat trace Poisson summation formula spectral functions Heat operator Noncommutative tori Podles sphere heat Kernel expansion Sobolev space
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“The book is a valuable review of the methods and applications of spectral action, especially in that it not only combines results scattered over many research papers but also adds new material and provides detailed proofs of many statements which were omitted in the original publications.” (Andrzej Sitarz, Mathematical Reviews, November, 2019)“The purpose of the book is to provide a rigid first course in the spectral action and to charm the reader with the marvelous interaction between mathematics and physics encapsulated in the notion of the spectral action.” (Vida Milani, zbMath 1416.81008, 2019)
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