Articles liés à Spectral Geometry of Graphs
Synopsis
Self-contained introduction to the theory of quantum graphs
First time treatment of inverse problems in detail
Numerous examples from physics included
Open questions at the end of several chapters
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Pavel Kurasov is a professor at Stockholm University. He graduated in mathematical physics with Boris Pavlov at Leningrad University and in mathematical analysis with Jan Boman at Stockholm University. He is the author of more than 100 research articles and of the book on singular interactions of differential operators together with Sergio Albeverio.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Spectral Geometry of Graphs
Edité par
Springer Berlin Heidelberg, 2023
ISBN 10 : 3662678705
ISBN 13 : 9783662678701
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book is open access, which means that you have free and unlimited access.First time treatment of inverse problems in detailNumerous examples from physics includedOpen questions at the end of several chaptersPavel Kura. N° de réf. du vendeur 913670709
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Spectral Geometry of Graphs
Edité par
Springer Berlin Heidelberg, 2023
ISBN 10 : 3662678705
ISBN 13 : 9783662678701
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This open access book gives a systematic introduction into the spectral theory of differential operators on metric graphs. Main focus is on the fundamental relations between the spectrum and the geometry of the underlying graph.The book has two central themes: the trace formula and inverse problems.The trace formula is relating the spectrum to the set of periodic orbits and is comparable to the celebrated Selberg and Chazarain-Duistermaat-Guillemin-Melrose trace formulas. Unexpectedly this formula allows one to construct non-trivial crystalline measures and Fourier quasicrystals solving one of the long-standing problems in Fourier analysis. The remarkable story of this mathematical odyssey is presented in the first part of the book.To solve the inverse problem for Schrödinger operators on metric graphs the magnetic boundary control method is introduced. Spectral data depending on the magnetic flux allow one to solve the inverse problem in full generality, this means to reconstruct not only the potential on a given graph, but also the underlying graph itself and the vertex conditions.The book provides an excellent example of recent studies where the interplay between different fields like operator theory, algebraic geometry and number theory, leads to unexpected and sound mathematical results. The book is thought as a graduate course book where every chapter is suitable for a separate lecture and includes problems for home studies. Numerous illuminating examples make it easier to understand new concepts and develop the necessary intuition for further studies. N° de réf. du vendeur 9783662678701
Quantité disponible : 1 disponible(s)
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Spectral Geometry of Graphs
Edité par
Springer Berlin Heidelberg Okt 2023, 2023
ISBN 10 : 3662678705
ISBN 13 : 9783662678701
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This open access book gives a systematic introduction into the spectral theory of differential operators on metric graphs. Main focus is on the fundamental relations between the spectrum and the geometry of the underlying graph.The book has two central themes: the trace formula and inverse problems.The trace formula is relating the spectrum to the set of periodic orbits and is comparable to the celebrated Selberg and Chazarain-Duistermaat-Guillemin-Melrose trace formulas. Unexpectedly this formula allows one to construct non-trivial crystalline measures and Fourier quasicrystals solving one of the long-standing problems in Fourier analysis. The remarkable story of this mathematical odyssey is presented in the first part of the book.To solve the inverse problem for Schrödinger operators on metric graphs the magnetic boundary control method is introduced. Spectral data depending on the magnetic flux allow one to solve the inverse problem in full generality, this means to reconstruct not only the potential on a given graph, but also the underlying graph itself and the vertex conditions.The book provides an excellent example of recent studies where the interplay between different fields like operator theory, algebraic geometry and number theory, leads to unexpected and sound mathematical results. The book is thought as a graduate course book where every chapter is suitable for a separate lecture and includes problems for home studies. Numerous illuminating examples make it easier to understand new concepts and develop the necessary intuition for further studies. 656 pp. Englisch. N° de réf. du vendeur 9783662678701
Quantité disponible : 2 disponible(s)
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Spectral Geometry of Graphs (Operator Theory: Advances and Applications, 293)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In. N° de réf. du vendeur ria9783662678701_new
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Spectral Geometry of Graphs
Edité par
Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 2023, 2023
ISBN 10 : 3662678705
ISBN 13 : 9783662678701
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Neuware -This open access book gives a systematic introduction into the spectral theory of differential operators on metric graphs. Main focus is on the fundamental relations between the spectrum and the geometry of the underlying graph.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 656 pp. Englisch. N° de réf. du vendeur 9783662678701
Quantité disponible : 2 disponible(s)
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Spectral Geometry of Graphs (Operator Theory: Advances and Applications, 293)
Vendeur : California Books, Miami, FL, Etats-Unis
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Etat : New. N° de réf. du vendeur I-9783662678701
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Spectral Geometry of Graphs
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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Etat : New. N° de réf. du vendeur 46844160-n
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Spectral Geometry of Graphs
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Etat : New. N° de réf. du vendeur 46844160-n
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Spectral Geometry of Graphs
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. N° de réf. du vendeur 26396996781
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Spectral Geometry of Graphs
Edité par
Birkhäuser, 2023
ISBN 10 : 3662678705
ISBN 13 : 9783662678701
Ancien ou d'occasion
Couverture rigide
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 46844160
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