УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
ÔØÖ¿ºÃÅÄÐÖ<strong>×</strong><br />
ÓØÒÝÖØÒØÖÓÓØβ¸ÛØÖ<strong>×</strong>ÔØØÓØÝÔÖÔÐÒÔÖÔÒÙÐÖØÓα¸ÒEº<br />
(β)ÛÓÙÐØÚØÓÖ<br />
ÐÑÒØ<strong>×</strong>ÓΠºÌ<strong>×</strong><strong>×</strong>Ø<strong>×</strong>ÐÐØÓÔÒÙÒÑÒØÐÏÝÐÑÖÒE´ÖÐØÚØÓ<br />
Ö<strong>×</strong>ÔØØÓØÝÔÖÔÐÒÒEÔÖÔÒÙÐÖØÓØÖÓÓØαºw α<br />
iÖÐÐØ 0ÓÖ<br />
ÒÓÔÒÏÝÐÑÖ<strong>×</strong><strong>×</strong>ÒÝÓÖØÄÐÖgÌ<strong>×</strong>ÐÑÒØ<strong>×</strong>ÖÑÔÓÖØÒØÒ<br />
ÔÓ<strong>×</strong>ØÚ<strong>×</strong>ÑÔÐÖÓÓØαÛÐÐÔÖØØÓÒEÒØÓØÛÓÐÚ<strong>×</strong><strong>×</strong>ÙØØØÖ〈α, µ〉 <<br />
〈α,<br />
ØÖÔÖ<strong>×</strong>ÒØØÓÒØÓÖÝÓ<strong>×</strong>ѹ<strong>×</strong>ÑÔÐÄÐÖ<strong>×</strong>ÒÖÐÐØÓÑÒÒØÒØÖÐ<br />
ΠºÇÒÑØÛÓÒÖÛØÓØÐÑÒØ<strong>×</strong>ÓØÐÓ<strong>×</strong><br />
µ〉 > 0ºÚÒΠ¸ÛÓÒ<strong>×</strong>ÖØÒØÖ<strong>×</strong>ØÓÒÓØ<strong>×</strong>Ø<strong>×</strong>〈α , H〉 > 0¸ÛÖα ΠµºÌÐÓ<strong>×</strong>ÙÒÑÒØÐÏÝÐÑÖÒE´ÖÐØÚØÓΠµ<strong>×</strong>Ø<strong>×</strong>ØÓÐÐH ÌÏÝÐÑÖÔÒ<strong>×</strong>ÓÒØ<strong>×</strong>ΠÒÖÒظÙØÕÙÚÐÒظ<strong>×</strong>ÛÐÐÚ<br />
∈<br />
<strong>×</strong>ÙØØ〈α i , H〉 ≥ 0ÓÖÐÐα ∈<br />
CÓÖ<br />
C)º<br />
ÓÔÓ<strong>×</strong>ØÚ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>ºÌÏÝÐÖÓÙÔØ<strong>×</strong><strong>×</strong>ÑÔÐÝÒØÖÒ<strong>×</strong>ØÚÐÝÓÒØ<strong>×</strong>ØÓÔÓ<strong>×</strong>ØÚ<br />
ÐÑÒØ<strong>×</strong>ºÏÛÐÐØÐÓÙØØÑÛÒÛ<strong>×</strong>Ù<strong>×</strong><strong>×</strong>ØÖÔÖ<strong>×</strong>ÒØØÓÒØÓÖÝÓsl(3, CÒØÓØÖÛÝ<br />
<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>ÒÐ<strong>×</strong>ÓÓÒØ<strong>×</strong>ØÓÏÝÐÑÖ<strong>×</strong>º ÖÓÙÒºËÓ¸ØÖ<strong>×</strong>ÓÒ¹ØÓ¹ÓÒÓÖÖ<strong>×</strong>ÔÓÒÒØÛÒÏÝÐÑÖ<strong>×</strong>Ò<strong>×</strong><strong>×</strong>¸ÓÖ<strong>×</strong>Ø ÖÒØÏÝÐÑÖºÓÖÓÔÒÏÝÐÑÖC¸ØÖÜ<strong>×</strong>Ø<strong>×</strong>ÙÒÕÙ<strong>×</strong>Π L<strong>×</strong>ÙØØC<strong>×</strong>ØÓÔÒÙÒÑÒØÐÏÝÐÑÖ<strong>×</strong><strong>×</strong>ÓØØÓΠ ¾ºËÐÖÔÖÓÙØ<strong>×</strong>ÖÒÚÖÒØÙÒÖWº ÓÒÝÖÔÖ<strong>×</strong>ÒØØÓÒÓgÒÚÖÒغ<br />
∗ØØÐÚØ<strong>×</strong>ØÓÛØ<strong>×</strong> ÏÓÒÐÙÓÙÖ<strong>×</strong>Ù<strong>×</strong><strong>×</strong>ÓÒÓØÏÝÐÖÓÙÔÛØÛÔÖÓÔÖØ<strong>×</strong>ÓW ½ºÌÏÝÐÖÓÙÔ<strong>×</strong>Ø<strong>×</strong>ØÓÐÒÖØÖÒ<strong>×</strong>ÓÖÑØÓÒ<strong>×</strong>Óh ´¿º¿½µ<br />
¿ºÌÏÝÐÖÓÙÔØ<strong>×</strong><strong>×</strong>ÑÔÐÝÒØÖÒ<strong>×</strong>ØÚÐÝÓÒØ<strong>×</strong>ØÓÔÓ<strong>×</strong>ØÚ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>Ò Ð<strong>×</strong>ÓÓÒØ<strong>×</strong>ØÓÏÝÐÑÖ<strong>×</strong>ºÓÖÒÝ<strong>×</strong><strong>×</strong>ΠÓ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>¸ÒÓÖÒÝw∈W¸ ÓÖÒÝw∈Wº<br />
〈w(α), w(β)〉 = 〈α, β〉,<br />
ºÌ<strong>×</strong>ØΠÓ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>ÒÖØ<strong>×</strong>ØÛÓÐÖÓÓØ<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>Ø<strong>×</strong>ÑÙÒÖØÏÝÐ ØÑw(Π)<strong>×</strong>Ò<strong>×</strong><strong>×</strong>Ó<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>º<br />
ºÌÖØÓÒÛØÖ<strong>×</strong>ÔØØÓ<strong>×</strong>ÑÔÐÖÓÓØαØ<strong>×</strong>ØØÓØ<strong>×</strong>ÒØÚ¸ÒÔÖÑÙØ<strong>×</strong> ÛÒÛÖÓÒ<strong>×</strong>ØÖÙØØÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>ÖÓÑØÖÒÓÑÒØÓÖÒØØ<strong>×</strong>º ÖÓÙÔºÓÖÒÝÖÓÓØα¸W(α)<strong>×</strong>ÔÒ<strong>×</strong>ØÛÓÐÖÓÓØ<strong>×</strong>ÔºÌ<strong>×</strong>ÔÓÒØÛÐÐÙ<strong>×</strong>ÙÐÐØÖ<br />
ØÖ<strong>×</strong>ØÓØÔÓ<strong>×</strong>ØÚÖÓÓØ<strong>×</strong>º ¿<br />
i<br />
i<br />
E