Quantization Arithmetic by Unterberger André (22 results)
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Published by Basel, Birkhäuser 2008
Series: Pseudo-Differential Operators, Book 1 of 14. Book 1 of 14 - Pseudo-Differential Operators
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Paperback. Condition: Sehr gut. 147 S. ; 24 cm Very good condition. Shrink wrapped. Sprache: Englisch Gewicht in Gramm: 495.
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Published by Springer 2008
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Published by Birkhauser Verlag AG 2008
Series: Pseudo-Differential Operators, Book 1 of 14. Book 1 of 14 - Pseudo-Differential Operators
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Condition: New. 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. C…ategory: (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 8. Weight in Grams: 267. . 2008. Paperback. . . . .
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Series: Pseudo-Differential Operators, Book 1 of 14. Book 1 of 14 - Pseudo-Differential Operators
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Published by Birkhauser 2008
Series: Pseudo-Differential Operators, Book 1 of 14. Book 1 of 14 - Pseudo-Differential Operators
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Paperback. Condition: Brand New. 1st edition. 147 pages. 9.50x7.00x0.25 inches. In Stock.
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Published by Birkhauser Verlag AG 2008
Series: Pseudo-Differential Operators, Book 1 of 14. Book 1 of 14 - Pseudo-Differential Operators
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Condition: New. 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. C…ategory: (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 8. Weight in Grams: 267. . 2008. Paperback. . . . . Books ship from the US and Ireland.
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Published by Birkhäuser, Birkhäuser 2008
Series: Pseudo-Differential Operators, Book 1 of 14. Book 1 of 14 - Pseudo-Differential Operators
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - (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.
Language: English
Published by Birkhäuser 2008
Series: Pseudo-Differential Operators, Book 1 of 14. Book 1 of 14 - Pseudo-Differential Operators
- Softcover
Seller: preigu, Osnabrück, Germanypreigu
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Taschenbuch. Condition: Neu. Quantization and Arithmetic | André Unterberger | Taschenbuch | Pseudo-Differential Operators | 147 S. | Englisch | 2008 | Birkhäuser | EAN 9783764387907 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartma…nn[at]springer[dot]com | Anbieter: preigu.
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Published by Birkhäuser 2008
Series: Pseudo-Differential Operators, Book 1 of 14. Book 1 of 14 - Pseudo-Differential Operators
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Seller: Buchpark, Trebbin, , GermanyBuchpark
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Condition: Gut. Zustand: Gut | Sprache: Englisch | Produktart: Bücher | (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.
Language: English
Published by Springer, Basel, Birkhäuser Basel, Birkhäuser Jun 2008 2008
Series: Pseudo-Differential Operators, Book 1 of 14. Book 1 of 14 - Pseudo-Differential Operators
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Taschenbuch. Condition: Neu. 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.
Language: English
Published by Birkhäuser Basel 2008
Series: Pseudo-Differential Operators, Book 1 of 14. Book 1 of 14 - Pseudo-Differential Operators
- Softcover
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Consists entirely of new materialContents is related to the book Automorphic pseudodifferential analysis and higher-level Weyl calculi (appeared in Progress in Mathematics) by the same author:… one-dimensional pseudo-differential analysis is consid.
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Published by Birkhäuser, Birkhäuser Jun 2008 2008
Series: Pseudo-Differential Operators, Book 1 of 14. Book 1 of 14 - Pseudo-Differential Operators
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. 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) GSpringer Nature c/o IBS, Benzstrasse 21, 48619 Heek 160 pp. Englisch.
