Quantization and Arithmetic
Andre Unterberger
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Description for Quantization and Arithmetic
Paperback. This book creates situations in which the zeta function, or other L-functions, appear in spectral-theoretic questions. It also connects pseudo-differential analysis, or quantization theory, to analytic number theory. Series: Pseudo-Differential Operators. Num Pages: 160 pages, biography. BIC Classification: PB. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 8. Weight in Grams: 267.
(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 ... Read more
(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 ... Read more
Product Details
Format
Paperback
Publication date
2008
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
160
Condition
New
Series
Pseudo-Differential Operators
Number of Pages
147
Place of Publication
Basel, Switzerland
ISBN
9783764387907
SKU
V9783764387907
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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