logo

Home

|

Products

|

9789356962026

Image of - Spectral Analysis On Graph Like Spaces | Paperback
Spectral Analysis On Graph Like Spaces | Paperback

Spectral Analysis On Graph Like Spaces | Paperback

by Post O.

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.

Highlights

  • binding-icon

    9783642238390

    ISBN:

  • binding-icon

    Post O.

    Author:

  • binding-icon

    431

    Pages:

  • binding-icon

    215 gm

    Weight:

  • langauage-icon

    English

    Language:

  • date-icon

    2012

    Year:

  • edition-icon

    N/A

    Edition:

  • binding-icon

    Paperback

    Binding:

₹5254

₹6567

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.

Loading...

Online store of medical books

Discover a comprehensive range of medical books at our online store. From anatomy and physiology to the latest clinical guidelines, we've got you covered.

Trusted by students, educators, and healthcare professionals worldwide. Browse top publishers and expert-authored titles in every medical specialty. Enjoy fast shipping, secure payments, and easy returns. Your one-stop destination for quality medical knowledge at your fingertips.

Whether you're preparing for exams or expanding your clinical expertise, our curated collection ensures you have the right resources at hand. Dive into detailed illustrations, case studies, and up-to-date research that enhance your understanding and practical skills.

We regularly update our inventory to include the latest editions and newly released titles, helping you stay current in the ever-evolving medical field. Our advanced search and filtering tools make finding the perfect book quick and hassle-free.

Join our community of lifelong learners and medical enthusiasts. Sign up for exclusive discounts, early access to new arrivals, and personalized book recommendations tailored to your professional interests.