02634oam 2200457 450 991048370610332120210417025802.03-030-60484-510.1007/978-3-030-60484-4(CKB)5590000000005425(MiAaPQ)EBC6382151(DE-He213)978-3-030-60484-4(PPN)258058862(EXLCZ)99559000000000542520210417d2020 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierDirect and inverse finite-dimensional spectral problems on graphs /Manfred Möller, Vyacheslav Pivovarchik1st ed. 2020.Cham, Switzerland :Birkhäuser,[2020]©20201 online resource (XVI, 349 p.) Operator Theory Advances and Applications ;Volume 2833-030-60483-7 Stieltjes strings -- Vibrations of star graphs -- Damped vibrations -- Trees -- Miscellaneous results -- Discrete Laplacians -- Relation between finite and infinite dimensional problems on graphs -- Rational Nevanlinna and Stieltjes Functions.Considering that the motion of strings with finitely many masses on them is described by difference equations, this book presents the spectral theory of such problems on finite graphs of strings. The direct problem of finding the eigenvalues as well as the inverse problem of finding strings with a prescribed spectrum are considered. This monograph gives a comprehensive and self-contained account on the subject, thereby also generalizing known results. The interplay between the representation of rational functions and their zeros and poles is at the center of the methods used. The book also unravels connections between finite dimensional and infinite dimensional spectral problems on graphs, and between self-adjoint and non-self-adjoint finite-dimensional problems. This book is addressed to researchers in spectral theory of differential and difference equations as well as physicists and engineers who may apply the presented results and methods to their research. .Operator theory, advances and applications ;Volume 283.Operator theoryOperator theory.515.724Möller Manfred1065739MiAaPQMiAaPQUtOrBLWBOOK9910483706103321Direct and inverse finite-dimensional spectral problems on graphs2547770UNINA00883nam a2200217 a 4500991001316199707536051110s2004 it 001 0 ita 8880865811b13353913-39ule_instDip.to di Studi Storiciita914.575048 Puglia e Basilicata nell'Ottocento :la straordinaria esperienza delle Cento città d'Italia /a cura di Giuseppe GiacovazzoGalatina :Congedo,stampa 2004111 p. :in gran parte ill.. ;38 cmGiacovazzo, Giuseppe.b1335391302-04-1410-11-05991001316199707536LE023 914.575 PUG 1 112023000076491le023-E15.00-l- 01110.i1415057811-11-05Puglia e Basilicata nell'Ottocento1092968UNISALENTOle02310-11-11ma -itait 0001160nas 2200397- 450 991026595050332120230123213018.0(OCoLC)1048168651(CKB)4100000003215355(CONSER)--2019236937(EXLCZ)99410000000321535520180612a20149999 s-- -engur|n|||||||||txtrdacontentcrdamediacrrdacarrierIranian Journal of Astronomy and AstrophysicsDamghan, Iran :Damghan University,2014-Refereed/Peer-reviewed2322-4924 IJAAAstronomyPeriodicalsAstrophysicsPeriodicalsAstrophysicsfast(OCoLC)fst00819797Astronomyfast(OCoLC)fst00819673Periodicals.fastAstronomyAstrophysicsAstrophysics.Astronomy.Dānishgāh-i Dāmghān,JOURNAL9910265950503321Iranian Journal of Astronomy and Astrophysics2573418UNINA