Lectures on Gaussian Integral Operators and Classical Groups
Seiten
2011
|
1., Aufl.
EMS Press (Verlag)
978-3-03719-080-7 (ISBN)
EMS Press (Verlag)
978-3-03719-080-7 (ISBN)
This book is an elementary self-contained introduction to some constructions of representation theory and related topics of differential geometry and analysis.
Topics covered include the theory of various Fourier-like integral operators as Segal–Bargmann transforms, Gaussian integral operators in L^2 and in the Fock space, integral operators with theta-kernels, the geometry of real and p-adic classical groups and symmetric spaces. The heart of the book is the Weil representation of the symplectic group (real and complex realizations, relations with theta-functions and modular forms, p-adic and adelic constructions) and representations in Hilbert spaces of holomorphic functions of several complex variables.
Topics covered include the theory of various Fourier-like integral operators as Segal–Bargmann transforms, Gaussian integral operators in L^2 and in the Fock space, integral operators with theta-kernels, the geometry of real and p-adic classical groups and symmetric spaces. The heart of the book is the Weil representation of the symplectic group (real and complex realizations, relations with theta-functions and modular forms, p-adic and adelic constructions) and representations in Hilbert spaces of holomorphic functions of several complex variables.
| Erscheint lt. Verlag | 25.2.2011 |
|---|---|
| Reihe/Serie | EMS Series of Lectures in Mathematics |
| Verlagsort | Zurich |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Gewicht | 1054 g |
| Einbandart | Paperback |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | Cartier model • integral operators • integral operators, theta-functions, Cartier model, Weil representation, Segal-Bargmann transform • Segal-Bargmann transform • Semisimple Lie groups and their representations, classical groups, symmetric spaces, Fourier transform, $p$-adic groups, • theta-functions • Weil representation |
| ISBN-10 | 3-03719-080-9 / 3037190809 |
| ISBN-13 | 978-3-03719-080-7 / 9783037190807 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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