03582nam 22006495 450 99646661800331620200706230134.03-030-01276-X10.1007/978-3-030-01276-2(CKB)4100000007204674(DE-He213)978-3-030-01276-2(MiAaPQ)EBC6295783(PPN)232961484(EXLCZ)99410000000720467420181205d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierA Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation[electronic resource] /by Sebastian Klein1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (VIII, 334 p. 7 illus.) Lecture Notes in Mathematics,0075-8434 ;22293-030-01275-1 This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space. Spectral data for such solutions are defined (following ideas of Hitchin and Bobenko) and the space of spectral data is described by an asymptotic characterization. Using methods of asymptotic estimates, the inverse problem for the spectral data is solved along a line, i.e. the solution u is reconstructed on a line from the spectral data. Finally, a Jacobi variety and Abel map for the spectral curve are constructed and used to describe the change of the spectral data under translation of the solution u. The book's primary audience will be research mathematicians interested in the theory of infinite-dimensional integrable systems, or in the geometry of constant mean curvature surfaces. .Lecture Notes in Mathematics,0075-8434 ;2229Partial differential equationsDifferential geometryFunctional analysisFunctions of complex variablesDifferential equationsPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Functions of a Complex Variablehttps://scigraph.springernature.com/ontologies/product-market-codes/M12074Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Partial differential equations.Differential geometry.Functional analysis.Functions of complex variables.Differential equations.Partial Differential Equations.Differential Geometry.Functional Analysis.Functions of a Complex Variable.Ordinary Differential Equations.515.353Klein Sebastianauthttp://id.loc.gov/vocabulary/relators/aut760812MiAaPQMiAaPQMiAaPQBOOK996466618003316Spectral theory for simply periodic solutions of the Sinh-Gordon equation1539995UNISA01186nam0 22003131i 450 UON0040184420231205104700.33588-87761-16-720111205d2005 |0itac50 baitaIT|||| 1||||Castelli in rovinaJanko LeskovarTradotto e curato da Cristina BerettaMilanoHerrenhaus2005210 p.19 cm.Titolo originaleUON00409881Fattura 1655 del 12/1/12IT-UONSI SERBOCROATOB/0099UON00409881Propali dvori / Janko Leskovar38346ITMilanoUONL000005891.82Letteratura serbo-croata21LESKOVARJankoUONV171023693234BERETTACristinaUONV209747HerrenhausUONV279552650ITSOL20250620RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00401844SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI CROATO B 0099 SI 503 5 0099 Fattura 1655 del 12/1/12Propali dvori38346UNIOR