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.
2πiÌÖ(nτ)ÒÛÖØ´º¼µ<strong>×</strong> ÔØÖºÅÓÙÐÖÓÖÑ<strong>×</strong><br />
´º¿µ ÄÓÖÛÛÖØqn = e<br />
ÏØØ<strong>×</strong>ÒÖÐÒØÖÓÙØÓÒÓÒØÓÙÖÖÜÔÒ<strong>×</strong>ÓÒÓËÐÑÓÙÐÖÓÖѸÐÓÒ<br />
0µº nйÒØÖÐa(n)q n<br />
ÑÓÙÐÖÓÖÑf = ∑ n a(n)e2πiÌÖ(nr) ∈ M k (Γ g )<strong>×</strong>ÐÐ<strong>×</strong>ÒÙÐÖa(n) 0ÑÔÐ<strong>×</strong>ØØn <strong>×</strong><strong>×</strong>ÒÙÐÖÑØÖÜ´ººØ(n) =<br />
ºº ØØÔÖÓÚÑÓÖÒÓÖÑØÓÒÓÙØØËÐÑÓÙÐÖÓÖÑ<strong>×</strong>º ÌÓÙÖÖ¹ÂÓÚÐÓÔÑÒØÓËÐÑÓÙÐÖÓÖѺ<br />
ØÐÒ<strong>×</strong>ÓØg=<br />
1¸Û<strong>×</strong>ÛØÖÜ<strong>×</strong>Ø<strong>×</strong>ÓÙÖÖÜÔÒ<strong>×</strong>ÓÒÓÖØËÐÑÓÙÐÖÓÖÑ<strong>×</strong>ºÓÖ<br />
1<strong>×</strong>¸ÛÑÓÚÓÒØÓ<strong>×</strong>ØÙÝÓØÖÚÐÓÔÑÒØ<strong>×</strong>ØØÜ<strong>×</strong>ØÓÖg> 1<br />
ÓÖÑÖºÌÓÙØÓÙÖÖ¹ÂÓÚÐÓÔÑÒØ<strong>×</strong>ÚÐÒÜØÖÑÐÝÙ<strong>×</strong>ÙÐÓÖÒÝ ØÓÙÖÖÜÔÒ<strong>×</strong>ÓÒºÏÛÐÐÜÑÒØÓÙÖÖ¹ÂÓÔÒ<strong>×</strong>ÓÒÓËÐÑÓÙÐÖ<br />
1¸ØÖÖÓØÖÚÐÓÔÑÒØ<strong>×</strong>ÓËÐÑÓÙÐÖÓÖÑ<strong>×</strong>ÛÖÑÓÖÒÖÐØÒ<br />
1¸ÛÛÐÐÒÔÒÛØØ<strong>×</strong>ÓÔÓØ<strong>×</strong>ÛÓÖ¸Ö<strong>×</strong>ØÖØÓÙÖ<strong>×</strong>ÐÚ<strong>×</strong>ØÓØ<strong>×</strong><br />
ÓÖg =<br />
g ><br />
ÒÖÐg> gºÆÓÛ¸<strong>×</strong>ÙÔÔÓ<strong>×</strong>ÛÛÒØØÓ<strong>×</strong>ÓÐØØÔÖÓØÝÓËÐÑÓÙÐÖÓÖÑ<br />
C¸Û<strong>×</strong>ÔÖÓÒØÔÖÑØÖ Cº ÓÒ<strong>×</strong>Ö´º¼µ¸ÛÖØÙÒØÓÒf(τ) : H g →<br />
τ¸<strong>×</strong>ÜÔÒ<strong>×</strong>ÓÙÖÖ<strong>×</strong>Ö<strong>×</strong>ÒØÖÑ<strong>×</strong>ÓØe2πiÌÖ(nτ)ÛØØÓÒØ<strong>×</strong>a(n) g¸ÒÓÙÖÖÜÔÒf(τ)ÒØÖÑ<strong>×</strong><br />
ÑÓÙÐÖÓÖÑÒØÖÑ<strong>×</strong>ÓÓÒÓØÚÖÐÒÓØÒÛØ<strong>×</strong>ÐÐØÓÙÖÖ¹ÂÓ<br />
)ºÌÒÐÓÓØÓÒØ<strong>×</strong>a(n)ÛÓÙÐÒÓÛÓÖÖ<strong>×</strong>ÔÓÒØÓÙÒØÓÒ<strong>×</strong>Û<br />
∈<br />
ÀÖτ ∈ H<br />
g−1ºËÔÐÞÒØÓÓÙÖ<strong>×</strong>Óg=2¸ÛÒÓÙÖÖÜÔÒØËÐ<br />
f(τ)¸ÓÛØkÓÒΓg¸ÙÒÖτ ′ ∈ H 1¸<strong>×</strong>Ò<strong>×</strong>Øτ H<br />
´ÒÓØØÓÒÒÔÒÛØØØÚÐØ<strong>×</strong>ÓËÐÑÓÙÐÖÓÖÑ<strong>×</strong>ØÓ<strong>×</strong>ØÙÒØØÖ<br />
′<br />
5µ¸ØÒØÓÙÖÖÜÔÒ<strong>×</strong>ÓÒÒÛÖØØÒ<strong>×</strong><br />
ØÚÐÙ<strong>×</strong>ÖÓÑH ÚÐÓÔÑÒØÓØËÐÑÓÙÐÖÓÖѺÄØÙ<strong>×</strong>ÛÖØØÑØÖÜZ =<br />
)<strong>×</strong>ÒÓÛÂÓÓÖÑÓÛØkÒÒÜm´ÖÐÐf(τ)Û<strong>×</strong> ´ºµ<br />
m<strong>×</strong>Ø<strong>×</strong><strong>×</strong> ÛÖØÙÒØÓÒφ m (z 1 , z 2<br />
½¿ ËÐÑÓÙÐÖÓÖÑÓÛØkµºÌ<strong>×</strong>ÑÒ<strong>×</strong>φ<br />
Óg= 2º<br />
Óe 2πiÌÖ(nτ<br />
f(τ) =<br />
f(Z) =<br />
∑<br />
∈<br />
.<br />
≠<br />
∞∑<br />
φ m (z 1 , z 2 )e 2πimz 3<br />
.<br />
m=0<br />
( )<br />
z 1 z 2<br />
∈ H 2<br />
z 2 z 3
Change language