Generalized Minkowski Content, Spectrum of Fractal Drums, Fractal Strings and the Riemann-Zeta-Function - Couverture souple

American Mathematical Society

Couverture souple

ISBN 10 : 0821805975 ISBN 13 : 9780821805978

Editeur : American Mathematical Society, 1997

Synopsis

This memoir provides a detailed study of the effect of non power-like irregularities of (the geometry of) the fractal boundary on the spectrum of "fractal drums" (and especially of "fractal strings"). In this work, the authors extend previous results in this area by using the notionof generalized Minkowski content which is defined through some suitable "gauge functions" other than power functions. (This content is used to measure the irregularity (or "fractality") of the boundary of an open set in R]n by evaluating the volume of its small tubular neighborhoods). In the situation when the power function is not the natural "gauge function", this enables the authors to obtain more precise estimates, with a broader potential range of applications than in previous papers of the second author and his collaborators. This text will also be of interest to those working in mathematical physics.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1997
• Langue: anglais
• ISBN 10: 0821805975
• ISBN 13: 9780821805978
• Reliure: Broché
• Nombre de pages: 97
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible