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The Fourfold Way in Real Analysis: An Alternative to the Metaplectic Representation by Andre Unterberger (Hardcover, 2006)

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The n-dimensionalmetaplectic groupSp(n,R) is the twofoldcoverof the sympl- n n tic group Sp(n,R), which is the group of linear transformations ofX = R xR that preserve the bilinear (alternate) form x y [( ), ( )] =? x, ? + y, ? . (0. 1) ? ? 2 n There is a unitary representation of Sp(n,R)intheHilbertspace L (R ), called the metaplectic representation,the image of which is the groupof transformations generated by the following ones: the linear changes of variables, the operators of multiplication by exponentials with pure imaginary quadratic forms in the ex- nent, and the Fourier transformation; some normalization factor enters the de?- tion of the operators of the ?rst and third species. The metaplectic representation was introduced in a great generality in [28] - special cases had been considered before, mostly in papers of mathematical physics - and it is of such fundamental importancethat the two concepts (the groupand the representation)havebecome virtually indistinguishable. This is not going to be our point of view: indeed, the main point of this work is to show that a certain ?nite covering of the symplectic group (generally of degree n) has another interesting representation, which enjoys analogues of most of the nicer properties of the metaplectic representation. We shall call it the anaplectic representation - other coinages that may come to your mind sound too medical - and shall consider ?rst the one-dimensional case, the main features of which can be described in quite elementary terms.

Product Identifiers

Publisher
Birkhauser Verlag Ag
ISBN-13
9783764375447
eBay Product ID (ePID)
94426864

Product Key Features

Author
ANDRÉ Unterberger
Publication Name
The Fourfold Way in Real Analysis: an Alternative to the Metaplectic Representation
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2006
Type
Textbook
Number of Pages
222 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
250
Item Weight
1120g

Additional Product Features

Title_Author
ANDRÉ Unterberger
Series Title
Progress in Mathematics
Country/Region of Manufacture
Switzerland

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The Fourfold Way in Real Analysis: An Alternative to the Metaplectic Representation by Andre Unterberger (Hardcover, 2006)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

A guide to the Project Management Body of Knowledge (PMBOK guide) and the Standard for project management by Project Management Institute (Paperback, 2021)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

Polyvagal Exercises for Safety and Connection: 50 Client-Centered Practices by Deb Dana (Paperback, 2020)

Save on Adult Learning & University

Ford Falcon EF, EL/Fairlane NF, NL/LTD DF, DL 1994-1998 Haynes Workshop Manual

Netter Atlas of Human Anatomy: Classic Regional Approach

Michael Price Nick Vandome Windows 11 for Seniors in easy steps (Paperback)

Dr. Robert Melillo Disconnected Kids - Revised and Updated (Paperback)

The Demon-Haunted World: Science as a Candle in the Dark by Carl Sagan (English)

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