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Add to basket147 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Gestempelt. Sprache: Englisch.
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Published by Springer, 2008
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Published by Birkh�user Basel 2008-08-06, 2008
ISBN 10: 3764387904 ISBN 13: 9783764387907
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Published by Birkhauser Verlag AG, Basel, 2008
ISBN 10: 3764387904 ISBN 13: 9783764387907
Language: English
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Paperback. Condition: new. Paperback. (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 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 . Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Published by Birkhauser Verlag AG, 2008
ISBN 10: 3764387904 ISBN 13: 9783764387907
Language: English
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Add to basketCondition: 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. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 8. Weight in Grams: 267. . 2008. Paperback. . . . .
Published by Birkhäuser Basel, Springer Basel Jun 2008, 2008
ISBN 10: 3764387904 ISBN 13: 9783764387907
Language: English
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Add to basketTaschenbuch. Condition: Neu. 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 Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 160 pp. Englisch.
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Add to basketTaschenbuch. 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.
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Add to basketPaperback. Condition: Brand New. 1st edition. 147 pages. 9.50x7.00x0.25 inches. In Stock.
Published by Birkhauser Verlag AG, 2008
ISBN 10: 3764387904 ISBN 13: 9783764387907
Language: English
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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. Category: (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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Add to basketCondition: Gut. Zustand: Gut | Sprache: Englisch | Produktart: Bücher.
Published by Birkhauser Verlag AG, Basel, 2008
ISBN 10: 3764387904 ISBN 13: 9783764387907
Language: English
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Add to basketPaperback. Condition: new. Paperback. (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 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 . Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.