The Infinite Regions of Various Geometries
Author : Maxime Bocher
Publisher :
Page : 72 pages
File Size : 31,25 MB
Release : 1914
Category :
ISBN :
Author : Maxime Bocher
Publisher :
Page : 72 pages
File Size : 31,25 MB
Release : 1914
Category :
ISBN :
Author : Julian Lowell Coolidge
Publisher :
Page : 252 pages
File Size : 25,83 MB
Release : 1924
Category : Collineation
ISBN :
Author : American Mathematical Society
Publisher :
Page : 660 pages
File Size : 45,43 MB
Release : 1915
Category : Mathematics
ISBN :
Author : Oswald Veblen
Publisher :
Page : 536 pages
File Size : 32,47 MB
Release : 1918
Category : Geometry, Projective
ISBN :
Author : Tsuruichi Hayashi
Publisher :
Page : 234 pages
File Size : 39,92 MB
Release : 1914
Category : Mathematics
ISBN :
Author :
Publisher :
Page : 592 pages
File Size : 39,32 MB
Release : 1914
Category : Mathematics
ISBN :
Author :
Publisher :
Page : 264 pages
File Size : 48,89 MB
Release : 1914
Category : Mathematics
ISBN :
Author : David Borthwick
Publisher : Birkhäuser
Page : 471 pages
File Size : 35,59 MB
Release : 2016-07-12
Category : Mathematics
ISBN : 3319338773
This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developments in the field. For the second edition the context has been extended to general surfaces with hyperbolic ends, which provides a natural setting for development of the spectral theory while still keeping technical difficulties to a minimum. All of the material from the first edition is included and updated, and new sections have been added. Topics covered include an introduction to the geometry of hyperbolic surfaces, analysis of the resolvent of the Laplacian, scattering theory, resonances and scattering poles, the Selberg zeta function, the Poisson formula, distribution of resonances, the inverse scattering problem, Patterson-Sullivan theory, and the dynamical approach to the zeta function. The new sections cover the latest developments in the field, including the spectral gap, resonance asymptotics near the critical line, and sharp geometric constants for resonance bounds. A new chapter introduces recently developed techniques for resonance calculation that illuminate the existing results and conjectures on resonance distribution. The spectral theory of hyperbolic surfaces is a point of intersection for a great variety of areas, including quantum physics, discrete groups, differential geometry, number theory, complex analysis, and ergodic theory. This book will serve as a valuable resource for graduate students and researchers from these and other related fields. Review of the first edition: "The exposition is very clear and thorough, and essentially self-contained; the proofs are detailed...The book gathers together some material which is not always easily available in the literature...To conclude, the book is certainly at a level accessible to graduate students and researchers from a rather large range of fields. Clearly, the reader...would certainly benefit greatly from it." (Colin Guillarmou, Mathematical Reviews, Issue 2008 h)
Author : Boris Khesin
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 31,43 MB
Release : 2008-09-28
Category : Mathematics
ISBN : 3540772634
This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.
Author : John Michels (Journalist)
Publisher :
Page : 978 pages
File Size : 16,61 MB
Release : 1914
Category : Science
ISBN :