Boundary Value Problems, Weyl Functions, and Differential Operators

This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of

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Jussi Behrndt Seppo Hassi Henk de Snoo

Boundary Value Problems, Weyl Functions, and Differential Operators

Monographs in Mathematics Volume 108

Series Editors Herbert Amann, Universität Zürich, Zürich, Switzerland Jean-Pierre Bourguignon, IHES, Bures-sur-Yvette, France William Y. C. Chen, Nankai University, Tianjin, China Associate Editor Huzihiro Araki, Kyoto University, Kyoto, Japan John Ball, Heriot-Watt University, Edinburgh, UK Franco Brezzi, Università degli Studi di Pavia, Pavia, Italy Kung Ching Chang, Peking University, Beijing, China Nigel Hitchin, University of Oxford, Oxford, UK Helmut Hofer, Courant Institute of Mathematical Sciences, New York, USA Horst Knörrer, ETH Zürich, Zürich, Switzerland Don Zagier, Max-Planck-Institut, Bonn, Germany

The foundations of this outstanding book series were laid in 1944. Until the end of the 1970s, a total of 77 volumes appeared, including works of such distinguished mathematicians as Carathéodory, Nevanlinna and Shafarevich, to name a few. The series came to its name and present appearance in the 1980s. In keeping its well-established tradition, only monographs of excellent quality are published in this collection. Comprehensive, in-depth treatments of areas of current interest are presented to a readership ranging from graduate students to professional mathematicians. Concrete examples and applications both within and beyond the immediate domain of mathematics illustrate the import and consequences of the theory under discussion.

More information about this series at http://www.springer.com/series/4843

Jussi Behrndt Seppo Hassi Henk de Snoo •



Boundary Value Problems, Weyl Functions, and Differential Operators

Jussi Behrndt Institut für Angewandte Mathematik Technische Universität Graz Graz, Austria

Seppo Hassi Mathematics and Statistics University of Vaasa Vaasa, Finland

Henk de Snoo Bernoulli Institute for Mathematics Computer Science and Artificial Intelligence University of Groningen Groningen, The Netherlands

ISSN 1017-0480 ISSN 2296-4886 (electronic) Monographs in Mathematics ISBN 978-3-030-36713-8 ISBN 978-3-030-36714-5 (eBook) https://doi.org/10.1007/978-3-030-36714-5 Mathematics Subject Classification (2010): 47A, 47B, 47E, 47F, 34B, 34L, 35P, 81C, 93B © The Editor(s) (if applicable) and The Author(s) 2020. This book is an open access publication. Open Access This book is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this book are included in the book's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the book's Creative Commons license and your intended use is not permitted by statutory regu