Deformation Theory of Discontinuous Groups
Title | Deformation Theory of Discontinuous Groups PDF eBook |
Author | Ali Baklouti |
Publisher | Walter de Gruyter GmbH & Co KG |
Total Pages | 498 |
Release | 2022-07-05 |
Genre | Mathematics |
ISBN | 3110765306 |
This book contains the latest developments of the theory of discontinuous groups acting on homogenous spaces, from basic concepts to a comprehensive exposition. It develops the newest approaches and methods in the deformation theory of topological modules and unitary representations and focuses on the geometry of discontinuous groups of solvable Lie groups and their compact extensions. It also presents proofs of recent results, computes fundamental examples, and serves as an introduction and reference for students and experienced researchers in Lie theory, discontinuous groups, and deformation (and moduli) spaces.
Deformation Theory of Discontinuous Groups
Title | Deformation Theory of Discontinuous Groups PDF eBook |
Author | Ali Baklouti |
Publisher | Walter de Gruyter GmbH & Co KG |
Total Pages | 379 |
Release | 2022-07-05 |
Genre | Mathematics |
ISBN | 311076539X |
This book contains the latest developments of the theory of discontinuous groups acting on homogenous spaces, from basic concepts to a comprehensive exposition. It develops the newest approaches and methods in the deformation theory of topological modules and unitary representations and focuses on the geometry of discontinuous groups of solvable Lie groups and their compact extensions. It also presents proofs of recent results, computes fundamental examples, and serves as an introduction and reference for students and experienced researchers in Lie theory, discontinuous groups, and deformation (and moduli) spaces.
Discontinuous Groups and Automorphic Functions
Title | Discontinuous Groups and Automorphic Functions PDF eBook |
Author | Joseph Lehner |
Publisher | American Mathematical Soc. |
Total Pages | 440 |
Release | 1964-12-31 |
Genre | Mathematics |
ISBN | 0821815083 |
Much has been written on the theory of discontinuous groups and automorphic functions since 1880, when the subject received its first formulation. The purpose of this book is to bring together in one place both the classical and modern aspects of the theory, and to present them clearly and in a modern language and notation. The emphasis in this book is on the fundamental parts of the subject. The book is directed to three classes of readers: graduate students approaching the subject for the first time, mature mathematicians who wish to gain some knowledge and understanding of automorphic function theory, and experts.
Deformation Theory of Pseudogroup Structures
Title | Deformation Theory of Pseudogroup Structures PDF eBook |
Author | Victor Guillemin |
Publisher | American Mathematical Soc. |
Total Pages | 80 |
Release | 1966 |
Genre | Mathematics |
ISBN | 0821812645 |
Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79
Title | Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 PDF eBook |
Author | Leon Greenberg |
Publisher | Princeton University Press |
Total Pages | 452 |
Release | 2016-03-02 |
Genre | Mathematics |
ISBN | 1400881641 |
Study 79 contains a collection of papers presented at the Conference on Discontinuous Groups and Ricmann Surfaces at the University of Maryland, May 21-25, 1973. The papers, by leading authorities, deal mainly with Fuchsian and Kleinian groups, Teichmüller spaces, Jacobian varieties, and quasiconformal mappings. These topics are intertwined, representing a common meeting of algebra, geometry, and analysis.
Mathematics Going Forward
Title | Mathematics Going Forward PDF eBook |
Author | Jean-Michel Morel |
Publisher | Springer Nature |
Total Pages | 629 |
Release | 2023-06-14 |
Genre | Mathematics |
ISBN | 3031122445 |
This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.
The d-bar Neumann Problem and Schrödinger Operators
Title | The d-bar Neumann Problem and Schrödinger Operators PDF eBook |
Author | Friedrich Haslinger |
Publisher | Walter de Gruyter GmbH & Co KG |
Total Pages | 336 |
Release | 2023-09-18 |
Genre | Mathematics |
ISBN | 3111182924 |
This book's subject lies in the nexus of partial differential equations, operator theory, and complex analysis. The spectral analysis of the complex Laplacian and the compactness of the d-bar-Neumann operator are primary topics.The revised 2nd edition explores updates to Schrödinger operators with magnetic fields and connections to the Segal Bargmann space (Fock space), to quantum mechanics, and the uncertainty principle.