Quantization and Arithmetic

Language: English

Published by Springer, Basel, Birkhäuser Basel, Birkhäuser Jun 2008, 2008

3764387904 / 9783764387907

Series: Book 1 of 14 - Pseudo-Differential Operators

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -(12) (4) Let be the unique even non-trivial Dirichlet character mod 12, and let be the unique (odd) non-trivial Dirichlet character mod 4. Consider on the line the distributions m (12) d (x)= (m) x , even 12 m Z m (4) d (x)= (m) x . (1.1) odd 2 m Z 2 i x UnderaFouriertransformation,orundermultiplicationbythefunctionx e , the rst(resp. second)ofthesedistributionsonlyundergoesmultiplicationbysome 24th (resp. 8th) root of unity. Then, consider the metaplectic representation Met, 2 a unitary representation in L (R) of the metaplectic group G, the twofold cover of the group G = SL(2,R), the de nition of which will be recalled in Section 2: it extends as a representation in the spaceS (R) of tempered distributions. From what has just been said, if g is a point of G lying above g G,andif d = d even g 1 or d , the distribution d =Met(g )d only depends on the class of g in the odd homogeneousspace G=SL(2,Z)G,uptomultiplicationbysomephasefactor, by which we mean any complex number of absolute value 1 depending only on g . On the other hand, a function u S(R) is perfectly characterized by its scalar g productsagainstthedistributionsd ,sinceonehasforsomeappropriateconstants C , C the identities 0 1 g 2 2 | d ,u | dg = C u if u is even, 2 0 even L (R) G 160 pp. Englisch.

Seller Inventory # 9783764387907

Title
Quantization and Arithmetic
Author
André Unterberger
Publisher
Springer, Basel, Birkhäuser Basel, Birkhäuser Jun 2008
Publication year
2008
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3764387904
ISBN 13
9783764387907
Item weight
394 grams
Dimensions
240x192x36 mm
Series
Book 1 of 14: Pseudo-Differential Operators

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

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BuchWeltWeit Ludwig Meier e.K.

Germany