书目名称 | Microlocal Analysis and Precise Spectral Asymptotics |
编辑 | Victor Ivrii |
视频video | |
概述 | The pathbreaking work of Victor Ivrii in the last ten years represents very difficult mathematics..Because of its technical difficulty and its size, it cannot be expected to sell to a large audience.. |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | The problem of spectral asymptotics, in particular the problem of the asymptotic dis tribution of eigenvalues, is one of the central problems in the spectral theory of partial differential operators; moreover, it is very important for the general theory of partial differential operators. I started working in this domain in 1979 after R. Seeley found a remainder estimate of the same order as the then hypothetical second term for the Laplacian in domains with boundary, and M. Shubin and B. M. Levitan suggested that I should try to prove Weyl‘s conjecture. During the past fifteen years I have not left the topic, although I had such intentions in 1985 when the methods I invented seemed to fai! to provide furt her progress and only a couple of not very exciting problems remained to be solved. However, at that time I made the step toward local semiclassical spectral asymptotics and rescaling, and new horizons opened. |
出版日期 | Book 1998 |
关键词 | Dirac; Microlocal analysis; Semiclassical microlocal analysis; Spectral asymptotics; boundary element me |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-662-12496-3 |
isbn_softcover | 978-3-642-08307-5 |
isbn_ebook | 978-3-662-12496-3Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer-Verlag Berlin Heidelberg 1998 |