Spectral Analysis on Graph like Spaces is popular PDF and ePub book, written by Olaf Post in 2012-01-05, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Spectral Analysis on Graph like Spaces can be Read Online from any device for your convenience.
Spectral Analysis on Graph like Spaces Book PDF Summary
Small-radius tubular structures have attracted considerable attention in the last few years, and are frequently used in different areas such as Mathematical Physics, Spectral Geometry and Global Analysis. In this monograph, we analyse Laplace-like operators on thin tubular structures ("graph-like spaces''), and their natural limits on metric graphs. In particular, we explore norm resolvent convergence, convergence of the spectra and resonances. Since the underlying spaces in the thin radius limit change, and become singular in the limit, we develop new tools such as norm convergence of operators acting in different Hilbert spaces, an extension of the concept of boundary triples to partial differential operators, and an abstract definition of resonances via boundary triples. These tools are formulated in an abstract framework, independent of the original problem of graph-like spaces, so that they can be applied in many other situations where the spaces are perturbed.
Detail Book of Spectral Analysis on Graph like Spaces PDF
- Author : Olaf Post
- Release : 05 January 2012
- Publisher : Springer
- ISBN : 9783642238406
- Genre : Mathematics
- Total Page : 431 pages
- Language : English
- PDF File Size : 11,6 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Spectral Analysis on Graph like Spaces by Olaf Post, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.