Quantization and Arithmetic - 8 Angebote vergleichen
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1
Quantization and Arithmetic
~EN PB NWISBN: 9783764387907 bzw. 3764387904, vermutlich in Englisch, Springer Nature, Taschenbuch, neu.
Lieferung aus: Deutschland, Lagernd, zzgl. Versandkosten.
(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, Soft cover.
(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, Soft cover.
2
Quantization and Arithmetic (2008)
DE PB NW RPISBN: 9783764387907 bzw. 3764387904, in Deutsch, Birkhäuser Jun 2008, Taschenbuch, neu, Nachdruck.
Von Händler/Antiquariat, AHA-BUCH GmbH [51283250], Einbeck, NDS, Germany.
This item is printed on demand - Print on Demand Titel. Neuware - The primary aim of this book is to create situations in which the zeta function, or other L-functions, will appear in spectral-theoretic questions. A secondary aim is to connect pseudo-differential analysis, or quantization theory, to analytic number theory. Both are attained through the analysis of operators on functions on the line by means of their diagonal matrix elements against families of arithmetic coherent states: these are families of discretely supported measures on the line, transforming in specific ways under the part of the metaplectic representation or, more generally, representations from the discrete series of SL(2,R), lying above an arithmetic group such as SL(2,Z). 160 pp. Englisch.
This item is printed on demand - Print on Demand Titel. Neuware - The primary aim of this book is to create situations in which the zeta function, or other L-functions, will appear in spectral-theoretic questions. A secondary aim is to connect pseudo-differential analysis, or quantization theory, to analytic number theory. Both are attained through the analysis of operators on functions on the line by means of their diagonal matrix elements against families of arithmetic coherent states: these are families of discretely supported measures on the line, transforming in specific ways under the part of the metaplectic representation or, more generally, representations from the discrete series of SL(2,R), lying above an arithmetic group such as SL(2,Z). 160 pp. Englisch.
3
Symbolbild
Quantization and Arithmetic. (2008)
~EN PB USISBN: 9783764387907 bzw. 3764387904, vermutlich in Englisch, Basel, Birkhäuser. Taschenbuch, gebraucht, guter Zustand.
Von Händler/Antiquariat, Antiquariat im Hufelandhaus GmbH vormals Lange & Springer [2726420], Berlin, Germany.
147 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. Books.
147 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. Books.
4
Quantization and Arithmetic (Pseudo-Differential Operators)
DE PB NWISBN: 9783764387907 bzw. 3764387904, in Deutsch, Birkhäuser, Taschenbuch, neu.
Von Händler/Antiquariat, New Book Sale [52953497], london, ., United Kingdom.
Brand New , Dispatched from UK Warehouse If Not Available in the UK Warehouse it will Dispatched from Our UAE (Dubai) Warehouse or Iran Warehouse , without any changes in Shipping Rates.
Brand New , Dispatched from UK Warehouse If Not Available in the UK Warehouse it will Dispatched from Our UAE (Dubai) Warehouse or Iran Warehouse , without any changes in Shipping Rates.
5
Quantization and Arithmetic
DE PB NWISBN: 9783764387907 bzw. 3764387904, in Deutsch, Birkhäuser, Taschenbuch, neu.
Lieferung aus: Deutschland, Versandkostenfrei.
buecher.de GmbH & Co. KG, [1].
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.2008. 160 p.Versandfertig in 3-5 Tagen, Softcover.
buecher.de GmbH & Co. KG, [1].
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.2008. 160 p.Versandfertig in 3-5 Tagen, Softcover.
6
Quantization and Arithmetic (2008)
~EN PB NW FE RPISBN: 9783764387907 bzw. 3764387904, vermutlich in Englisch, 147 Seiten, Birkhaeuser Basel, Taschenbuch, neu, Erstausgabe, Nachdruck.
Lieferung aus: Deutschland, Versandkosten nach: Deutschland, Versandkostenfrei.
Von Händler/Antiquariat, Moluna GmbH, [5901482].
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Von Händler/Antiquariat, Moluna GmbH, [5901482].
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
7
Quantization And Arithmetic (Pb)
DEISBN: 9783764387907 bzw. 3764387904, in Deutsch, Birkenhäuser Verlag, Basel/Boston/Stuttgart, Schweiz.
Lieferung aus: Deutschland, Versandkostenfrei.
Von Händler/Antiquariat, Bookshub [56517106], Karol Bagh, India.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
Von Händler/Antiquariat, Bookshub [56517106], Karol Bagh, India.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen
8
Quantization and Arithmetic (2008)
EN USISBN: 9783764387907 bzw. 3764387904, in Englisch, 147 Seiten, 2008. Ausgabe, Birkhauser Verlag AG, gebraucht, akzeptabler Zustand.
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Von Händler/Antiquariat, ebooksweb*.
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