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ÔØÖ¾ºÓÙÒØÒÝÓÒ<strong>×</strong>ÒËØÖÒÌÓÖÝ<br />

ÝÐÓÓÒÓÖÒÓØÖ<strong>×</strong>ѹÖÐÛØÓÒÒØ1/NØÐÐÓÒØ<strong>×</strong>ØѹÛÝÔÓÒØ1/2º <strong>×</strong>ÑÐÖÔÖÓÙÖ<strong>×</strong>ÓÒ<strong>×</strong>ØÖØÒÛØØÐÖ<strong>×</strong>Ø<strong>×</strong>ѹÖÐÛØÓÒÒÓÒØÔÓÒØ<br />

1]Ø<strong>×</strong>ØÙÖÒ<strong>×</strong>ÓÙØØÓØ1/NºÌÔÖÓÙÖ<strong>×</strong>ØÒ´ÖÙÖ<strong>×</strong>ÚÐݵÖÔØ ØÒØÖÚÐ[0,<br />

ÙÒÑÒØÐÓÑÒ<strong>×</strong>ØÒÚÒÝÖ<strong>×</strong>ØÖØÒØÓØÖÓÒÓÙÒÝØ<strong>×</strong><strong>×</strong>ѹ ´¾º½µ<br />

λ = 1ÓÒØÖÐÜ<strong>×</strong>ºÇÒÓØÒ<strong>×</strong>ØÓÐÐÓÛÒ<strong>×</strong>ØÓÔÓÒØ<strong>×</strong>ÓÖN 0ºÌÙÒÑÒØÐÓÑÒ<strong>×</strong>ÖÚÒÒÙÖ¾ºº<br />

1ØÓÒÒØݺÌØÛÓ<strong>×</strong>ØÖØÐÒ<strong>×</strong>ÑÝ<br />

( 0, 1) , 1 1 (0, 1, 1) , 1 2 1 (0, 1, 1, 2, 1) . 1 3 2 3 1<br />

ÖÐ<strong>×</strong>ÒØØÛÓÛÐÐ<strong>×</strong>ÓÒÒØÒλ=0, ÒÐÙÝÒØÔÓÒØ<strong>×</strong>³−1 0Ò1<br />

=<br />

1, 2, 3<br />

N=1<br />

N=2<br />

Ø<strong>×</strong>ÑÖÓÒÔÔÖ<strong>×</strong><strong>×</strong>ØÏÝÐÑÖÓÃÅÄ<strong>×</strong>ÙÔÖÐÖÒ<strong>×</strong>º<br />

3ÀÄÑÓÐ<strong>×</strong>ºÏÛÐÐÐØÖ<strong>×</strong>ØØ<br />

N=3<br />

0 1/3 1/2 2/3 1<br />

ÑØÓµ 3¸Ø<strong>×</strong>ÔØÙÖÓ<strong>×</strong>ÒÓØØÖÑÒØÓÒÒ<strong>×</strong>ÒÒÒØÒÙÑÖÓ<strong>×</strong>ѹÖÐ<strong>×</strong><br />

4¸ØÓÐÐÓÛÒ<strong>×</strong>ÕÙÒ<strong>×</strong>ÓØÒÓÒ´Ù<strong>×</strong>ÒËÒ³<strong>×</strong><br />

ÙÖ¾ºÙÒÑÒØÐÓÑÒ<strong>×</strong>ÓÖØN = 1, 2,<br />

ÓÖN ><br />

ØÓÓØÒÐÓ<strong>×</strong>ÓÑÒºÓÖN =<br />

ÔØÒÙÖ¾ººÁØÑÝØÓÙØÓ<strong>×</strong>ÖÙÐÖÔÓÐÝÓÒÛØÒÒØ<strong>×</strong>ÛØØ<br />

( 0, 1, 1, 3, 2 −2n+1<br />

, . . ., , −n<br />

, . . ., 1 n+1<br />

, . . ., , 2n+1<br />

1 4 3 8 5 −4n −2n−1 2 2n+1<br />

nÒÓØØ<strong>×</strong>ѹÖÐÛØÒØÖÔØ<strong>×</strong>( 1Ö<strong>×</strong>ÔØÚÐݺÌÙÒÑÒØÐÓÑÒÓÖÖ<strong>×</strong>ÔÓÒÒØÓØÓÚ<strong>×</strong>ÕÙÒ<strong>×</strong><br />

0ÖÔÖ<strong>×</strong>ÒØØØÛÓ<strong>×</strong>ØÖØÐÒ<strong>×</strong>Ø ÄØα 2n−1<br />

, n<br />

ÔØ<strong>×</strong>( 4n<br />

n+1<br />

, )ÓÖÐÐn 2n+1 ∈ ZºÆÓØØØα 0Òβ 2n+1 4n<br />

Ê(λ) = 0,<br />

ÒÒعÑÒ<strong>×</strong>ÓÒÐÖÐÖÓÙÔ<strong>×</strong>Ø<strong>×</strong><strong>×</strong>ÝÑÑØÖÝÖÓÙÔ¸D ∞ = Z ⋊ Z 2ºD (1)<br />

nØ<strong>×</strong>ѹÖÐÛØÒØÖ¹ ´¾º¾µ<br />

. . . , 3, 5, 2, 3, 1) . 4n 5 8 3 4 1<br />

∞<strong>×</strong>ÒÖØ<br />

2n+1)Òβ ¼

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