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The Fourfold Way in Real Analysis. An Alternative to the Metaplectic Representation.
Andre Unterberger
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Description for The Fourfold Way in Real Analysis. An Alternative to the Metaplectic Representation.
Hardback. Suitable for researchers working in analysis in general, in harmonic analysis, or in mathematical physics. Series: Progress in Mathematics. Num Pages: 222 pages, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 14. Weight in Grams: 509.
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; ... Read more
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; ... Read more
Product Details
Format
Hardback
Publication date
2006
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
222
Condition
New
Series
Progress in Mathematics
Number of Pages
222
Place of Publication
Basel, Switzerland
ISBN
9783764375447
SKU
V9783764375447
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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