quantization arithmetic de andre unterberger (31 resultados)

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Paperback. Condición: 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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Condición: 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. . . . .

Paperback. Condición: Brand New. 1st edition. 147 pages. 9.50x7.00x0.25 inches. In Stock.

Condición: 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.

Taschenbuch. Condición: 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.

Taschenbuch. Condición: 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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Paperback. Condición: 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.

Taschenbuch. Condición: 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.