LEADER 03002nam 22006375 450 001 9910349335703321 005 20251113192306.0 010 $a3-030-26699-0 024 7 $a10.1007/978-3-030-26699-8 035 $a(CKB)4100000009273711 035 $a(DE-He213)978-3-030-26699-8 035 $a(MiAaPQ)EBC5922152 035 $a(PPN)240798627 035 $a(EXLCZ)994100000009273711 100 $a20190916d2019 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStationary Diffraction by Wedges $eMethod of Automorphic Functions on Complex Characteristics /$fby Alexander Komech, Anatoli Merzon 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XI, 167 p. 19 illus., 3 illus. in color.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2249 311 08$a3-030-26698-2 320 $aIncludes bibliographical references and index. 330 $aThis book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators. This method turns out to be applicable to many different areas of mathematical physics, in particular to diffraction problems in angles and to the study of trapped modes on a sloping beach. Giving the reader the opportunity to master the techniques of the modern theory of diffraction, the book introduces methods of distributions, complex Fourier transforms, pseudo-differential operators, Riemann surfaces, automorphic functions, and the Riemann?Hilbert problem. The book will be useful for students, postgraduates and specialists interested in the application of modern mathematics to wave propagation and diffraction problems. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v2249 606 $aMathematical physics 606 $aDifferential equations 606 $aFunctions of complex variables 606 $aFourier analysis 606 $aMathematical Physics 606 $aDifferential Equations 606 $aFunctions of a Complex Variable 606 $aFourier Analysis 615 0$aMathematical physics. 615 0$aDifferential equations. 615 0$aFunctions of complex variables. 615 0$aFourier analysis. 615 14$aMathematical Physics. 615 24$aDifferential Equations. 615 24$aFunctions of a Complex Variable. 615 24$aFourier Analysis. 676 $a515.35 676 $a515.35 700 $aKomech$b Alexander$4aut$4http://id.loc.gov/vocabulary/relators/aut$0472362 702 $aMerzon$b Anatoli$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349335703321 996 $aStationary Diffraction by Wedges$92536866 997 $aUNINA