LEADER 04280nam 2200589 450 001 9910483915303321 005 20220603091655.0 010 $a3-030-68490-3 024 7 $a10.1007/978-3-030-68490-7 035 $a(CKB)4100000011955164 035 $a(DE-He213)978-3-030-68490-7 035 $a(MiAaPQ)EBC6637081 035 $a(Au-PeEL)EBL6637081 035 $a(OCoLC)1255465147 035 $a(PPN)269152245 035 $a(EXLCZ)994100000011955164 100 $a20220201d2021 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aSchro?dinger operators, spectral analysis and number theory $ein memory of Erik Balslev /$fSergio Albeverio, Anindita Balslev, Ricardo Weder, editors 205 $a1st ed. 2021. 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (XXXII, 294 p. 32 illus., 13 illus. in color.) 225 1 $aSpringer Proceedings in Mathematics and Statistics ;$vVolume 348 311 $a3-030-68489-X 327 $aS. Albeverio and R. Weder, Introduction to the scientific contributions in the book -- S. Albeverio and I. Karabash, Asymptotics of random resonances generated by a point process of delta-interactions -- M. S. Ashbaugh, F. Gesztesy, L. Hermi, K. Kirsten, L. Littlejohn and H. Tossounian, Green?s function and Euler?s formula for ?(2n) -- P. Bérard and B. Helffer, On Courant?s nodal domain property for linear combinations of eigenfunctions -- Part II: A. Boutet de Monvel and L. Zielinski, Asymptotic behavior of large eigenvalues of the two-photon Rabi model -- J.-Michel Combes and P. Hislop, Some remarks on spectral averaging and the local density of states for random Schrödinger operators on L²(?d) -- R. Froese and I. Herbst, Resonances in the one dimensional Stark effect in the limit of small field -- P. Kurasov and J. Muller, On the spectral gap for networks of beams -- K. Nicholas Leibovic, Some notes in the context of binocular space perception -- T. Paul, Symbolic calculus for singular curve operators -- Y. N. Petridis and M. S. Risager, Higher order deformations of hyperbolic spectra -- S. K. Sekatskii, On the generalized Li?s criterion equivalent to the Riemann hypothesis and its first applications -- M. Spreafico and A. Zaccagnini, Regularizing infinite products by the asymptotics of finite products -- R. Weder, Trace maps under weak regularity assumptions. 330 $aThis book gives its readers a unique opportunity to get acquainted with new aspects of the fruitful interactions between Analysis, Geometry, Quantum Mechanics and Number Theory. The present book contains a number of contributions by specialists in these areas as an homage to the memory of the mathematician Erik Balslev and, at the same time, advancing a fascinating interdisciplinary area still full of potential. Erik Balslev has made original and important contributions to several areas of Mathematics and its applications. He belongs to the founders of complex scaling, one of the most important methods in the mathematical and physical study of eigenvalues and resonances of Schrödinger operators, which has been very essential in advancing the solution of fundamental problems in Quantum Mechanics and related areas. He was also a pioneer in making available and developing spectral methods in the study of important problems in Analytic Number Theory. . 410 0$aSpringer proceedings in mathematics & statistics ;$vVolume 348. 606 $aSpectral theory (Mathematics) 606 $aNumber theory 606 $aTeoria espectral (Matemàtica)$2thub 606 $aTeoria de nombres$2thub 608 $aLlibres electrònics$2thub 615 0$aSpectral theory (Mathematics) 615 0$aNumber theory. 615 7$aTeoria espectral (Matemàtica) 615 7$aTeoria de nombres 676 $a515.7222 702 $aAlbeverio$b Sergio 702 $aBalslev$b Anindita 702 $aWeder$b Ricardo 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483915303321 996 $aSchrödinger Operators, Spectral Analysis and Number Theory$91891986 997 $aUNINA