TY - BOOK AU - Komech,Alexander AU - Merzon,Anatoli ED - SpringerLink (Online service) TI - Stationary Diffraction by Wedges : Method of Automorphic Functions on Complex Characteristics T2 - Lecture Notes in Mathematics, SN - 9783030266998 AV - QC19.2-20.85 U1 - 519 23 PY - 2019/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Mathematical physics KW - Partial differential equations KW - Functions of complex variables KW - Fourier analysis KW - Mathematical Applications in the Physical Sciences KW - Mathematical Physics KW - Partial Differential Equations KW - Functions of a Complex Variable KW - Fourier Analysis N2 - This 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 UR - https://doi.org/10.1007/978-3-030-26699-8 ER -