The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program. It is designed for use as a primary text for either a semester or a year-long course, for the independent study of...Lasīt vairāk
Delving into the theory of generalized functions, the text illuminates their role in analysis, partial differential equations, stochastic processes, and representation theory. It probes representations of the general linear group over p-adic fields,...Lasīt vairāk
When we study differential equations in Banach spaces whose coefficients are linear unbounded operators, we feel that we are working in ordinary differential equations; however, the fact that the operator coefficients are unbounded makes things qu...Lasīt vairāk
The method can be viewed as an extension of the work of Godement-Jacquet (1972) for the standard L-function of GLn and is expected to work for all classical groups. We will consider the Archimedean local theory and the global theory in our future wo...Lasīt vairāk
Sērija : Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore
(Izdošanas datums: 02-May-2024, Hardback, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811285813)
This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven introductory chapters on trace formulas, local Arthur packets, and beyond endoscopy. It aims to intro...Lasīt vairāk
The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program. It is designed for use as a primary text for either a semester or a year-long course, for the independent study of...Lasīt vairāk
Nicolas Bergeron, Pierre Charollois, Luis E. Garcia
Sērija : CRM Monograph Series
(Izdošanas datums: 30-Nov-2023, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470474119)
Ce livre constitue un expose detaille de la serie de cours donnes en 2020 par le Prof. Nicolas Bergeron, titulaire de la Chaire Aisenstadt au CRM de Montreal. Lobjet de ce texte est une ample generalisation dune famille didentites classiques, not...Lasīt vairāk
We develop cohomological interpretations for several types of automorphic forms for Hecke triangle groups of infinite covolume. We then use these interpretations to establish explicit isomorphisms between spaces of automorphic forms, cohomology spac...Lasīt vairāk
Building on the developments of many people including Evans, Greene, Katz, McCarthy, Ono, Roberts, and Rodriguez-Villegas, we consider period functions for hypergeometric type algebraic varieties over finite fields and consequently study hypergeomet...Lasīt vairāk
Developing the theory of subset currents on p1(S), which he calls subset currents on S, Sasaki proves that the space SC(S) of subset currents on S is a measure-theoretic completion of the set of conjugacy classes of non-trivial finitely generated...Lasīt vairāk
In this article, we give explicit formulas of archimedean Whittaker functions on GL(3) and GL(2). Moreover, we apply those to the calculation of archimedean zeta integrals for GL(3) x GL(2), and show that the zeta integral for appropriate Whittaker...Lasīt vairāk
This book presents the foundation of the theory of almost automorphic functions in abstract spaces and the theory of almost periodic functions in locally and non-locally convex spaces and their applications in differential equations. Since the pub...Lasīt vairāk
This book presents the foundation of the theory of almost automorphic functions in abstract spaces and the theory of almost periodic functions in locally and non-locally convex spaces and their applications in differential equations. Since the pub...Lasīt vairāk
The 2016 meeting of the biennial mathematics school was in Sarajevo, Bosnia and Herzegovina, and the 29 lectures consider such aspects of automorphic forms as noncommutative modular symbols and Eisenstein series, an algebraic and analytic approac...Lasīt vairāk
(Izdošanas datums: 06-May-2019, Hardback, Izdevniecība: De Gruyter, ISBN-13: 9783110641240)
This book discusses almost periodic and almost automorphic solutions to abstract integro-differential Volterra equations that are degenerate in time, and in particular equations whose solutions are governed by (degenerate) solution operator famili...Lasīt vairāk
Mexican mathematicians, many of them working abroad, highlight the contributions they and others like them have made to pure and applied mathematics. Among the topics are the Atiyah-Singer cobordism invariance and the tangent groupoid, multiplica...Lasīt vairāk
Philipp Fleig, Henrik P. A. Gustafsson, Axel Kleinschmidt, Daniel Persson
Sērija : Cambridge Studies in Advanced Mathematics
(Izdošanas datums: 05-Jul-2018, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781107189928)
This introduction to automorphic forms on adelic groups G(A) emphasises the role of representation theory. The exposition is driven by examples, and collects and extends many results scattered throughout the literature, in particular the Langlands co...Lasīt vairāk
Investigating the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cycles, Bruggeman, Choie, and Diamantis give the correspondence by the Eichler integral for integral weights of two o...Lasīt vairāk
After a remembrance of Momose and an overview of his mathematical work, 11 papers explore the arithmetic of modular curves and abelian varieties, along with related areas of mathematics that interested him. Among the topics are quadratic points o...Lasīt vairāk
Kathrin Bringmann, Amanda Folsom, Ken Ono, Larry Rolen
Sērija : Colloquium Publications
(Izdošanas datums: 30-Dec-2017, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470419448)
The 21 papers in this collection consider harmonic Maass forms and mock modular forms, the background to them, and their applications. The topics include theta functions and holomorphic Jacobi forms, classical Maass forms, differential operators...Lasīt vairāk
In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement: To Goro Shimura for his important and extensive work on arithmetical geometry and automorphic forms; concepts introduced by him were often seminal, and fertile ground fo...Lasīt vairāk
