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020 _a9783319528427
_9978-3-319-52842-7
024 7 _a10.1007/978-3-319-52842-7
_2doi
040 _aISI Library, Kolkata
050 4 _aQA372
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
072 7 _aPBKJ
_2thema
082 0 4 _a515.352
_223
245 1 0 _aAnalytic, Algebraic and Geometric Aspects of Differential Equations
_h[electronic resource] :
_bBędlewo, Poland, September 2015 /
_cedited by Galina Filipuk, Yoshishige Haraoka, Sławomir Michalik.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2017.
300 _aVIII, 471 p. 32 illus., 14 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTrends in Mathematics,
_x2297-0215
505 0 _aPreface -- An introduction to Dunkl theory and its analytic aspects -- Holonomic Systems -- Sub-Riemannian geometry and hypoelliptic operators -- Asymptotic analysis and summability of formal power series -- WKB analysis and Stokes geometry of differential equations -- Transcendental Meromorphic Solutions of P34 and Small Targets -- Towards the convergence of generalized power series solutions of algebraic ODEs -- Connection problem for regular holonomic systems in several variables -- On k-summability of formal solutions for certain higher order partial differential operators with polynomial coefficients -- On Stokes phenomena for the alternate discrete PI equation -- Flat structures and algebraic solutions to Painlevé VI equation -- Relation of Semi-classical orthogonal polynomials to General Schlesinger systems via Twistor theory -- Some notes on the multi-level Gevrey solutions of singularly perturbed linear partial differential equations -- Reducibility of hypergeometric equations -- Parametric Borel summability of partial differential equations of irregular singular type.
520 _aThis volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also pointing out the highly fruitful interrelations between those aspects. These interactions continue to yield new developments, not only in the theory of differential equations but also in several related areas of mathematics and physics such as differential geometry, representation theory, number theory and mathematical physics. The main goal of the volume is to introduce basic concepts, techniques, detailed and illustrative examples and theorems (in a manner suitable for non-specialists), and to present recent developments in the field, together with open problems for more advanced and experienced readers. It will be of interest to graduate students, early-career researchers and specialists in analysis, geometry, algebra and related areas, as well as anyone interested in learning new methods and techniques.
650 0 _aDifferential Equations.
650 0 _aDifferential equations, partial.
650 0 _aGlobal differential geometry.
650 0 _aNumber theory.
650 1 4 _aOrdinary Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12147
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
650 2 4 _aMathematical Physics.
_0http://scigraph.springernature.com/things/product-market-codes/M35000
650 2 4 _aNumber Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M25001
700 1 _aFilipuk, Galina.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aHaraoka, Yoshishige.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aMichalik, Sławomir.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319528410
776 0 8 _iPrinted edition:
_z9783319528434
776 0 8 _iPrinted edition:
_z9783319849997
830 0 _aTrends in Mathematics,
_x2297-0215
856 4 0 _uhttps://doi.org/10.1007/978-3-319-52842-7
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427206
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