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ÓÖØÓÓÒÐÑÒÖÝ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>¸Ò0ÓØÖÛ<strong>×</strong>ºÁÒØ<strong>×</strong>ÓÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong> ÔØÖºÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>ÖÓÑÝÓÒËÔØÖ<br />

ØÖÓÓØ<strong>×</strong>ÔÔÖÛØÖÑÙÐØÔÐØÝÖÑÓÒÖÓÓØ<strong>×</strong>ÔÔÖÛØÒØÚÑÙÐØÔÐØÝ ÛÐÓ<strong>×</strong>ÓÒÖÓÓØ<strong>×</strong>ÔÔÖÛØÔÓ<strong>×</strong>ØÚÑÙÐØÔÐØݺÓÐÐÓÛÒØ<strong>×</strong>ÓÓÖÖ<strong>×</strong>¸½℄¸<br />

1ÝÒÑÒÖÝ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong><br />

ØÓØÖÛÓ<strong>×</strong>ҳظ<strong>×</strong>ÓÐÐÓÛ<strong>×</strong> <strong>×</strong>ÓÑÓ<strong>×</strong>ÓÒÒÓØÖ<strong>×</strong>ÖÑÓÒºÄØÙ<strong>×</strong>ÛÖØØÏÝйùÓÖÖ<strong>×</strong>ÒÓÑÒØÓÖ ÓÖÑÙÐ<strong>×</strong>ÔÖØÒØÒØÓØÛÓÔÖØ<strong>×</strong>ÓÒÓÛÒÚÓÐÚ<strong>×</strong>ØÑÒÖÝ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>Ò ÖØ<strong>×</strong>ÒÓÒÆÙÐÒÓÒ<strong>×</strong>ØÖÙØ<strong>×</strong>ÙÔÖÐÖ¸G<br />

e ∏ ( −πı(ρ,z) 1 − e<br />

⎠´º½µ<br />

−πı(α,z) )ÑÙÐØ(α)<br />

α∈L +<br />

2ÓØÒ<br />

Ö<strong>×</strong>ØØÖÑØÙ<strong>×</strong>Ö<strong>×</strong><strong>×</strong><strong>×</strong>Ø<strong>×</strong>ÙÑ<strong>×</strong>ÓØÄÐÖÛØÒÓÑÒÖÝ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>ºÌ <strong>×</strong>ÓÒØÖÑ<strong>×</strong><strong>×</strong>ÔØÓÃÅÄ<strong>×</strong>ÙÔÖÐÖ<strong>×</strong>ÙØÓØÔÖ<strong>×</strong>ÒÓÑÒÖÝ<strong>×</strong>ÑÔÐ<br />

+ºÇØØÛÓØÖÑ<strong>×</strong>ÒØ<strong>×</strong>ÙÑ<strong>×</strong>¸ÓÒÖ<strong>×</strong><strong>×</strong>ÖÓÑØ 0µºÌ ÛÖØÐÑÒØZ=z 3 f 2 +z 2 f 3 +z<br />

ZºÌ<strong>×</strong>ÑÙÐØÔÐØ<strong>×</strong>ÖØÖÑÒÝØÓÒÒØÓÒ<br />

1 f −2ÐÓÒ<strong>×</strong>ØÓØ<strong>×</strong>Ù<strong>×</strong>ÔR +ıV + ∼ H<br />

ÙÔÓÒÓÑÔÐÜØÓÒÓØÓÒV ÖÐ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>´η = 0µÒØÓØÖÖ<strong>×</strong>ÒÖÓÑØÑÒÖÝ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong>´η ÑÒÖÝ<strong>×</strong>ÑÔÐÖÓÓØ<strong>×</strong><strong>×</strong>ÙØØØÙØÓÑÓÖÔÔÖÓÔÖØ<strong>×</strong>ÖØØÒº ÓÖÑÙÐØÓØ<strong>×</strong>ÙÑÓÖÑÓØÑÓÙÐÖÓÖÑÓØÒÖÓÑØØÚÐØÒ<strong>×</strong>ÒÓÙ<br />

(Z)ÚÞº´ºµºÇÒÓÑÔÖ<strong>×</strong>Ø<strong>×</strong>ÙÑ<strong>×</strong>ÓØÒÓÑÒØÓÖ ÖÓÓØ<strong>×</strong>ÛØÑÙÐØÔÐØ<strong>×</strong>³m(η) ∈<br />

ÛØØÙØÓÑÓÖÔÓÖÑ∆ +ÐÓÒÛØØÖÑÙÐØÔÐØ<strong>×</strong>ÒÖÑÓÒÖÓÓØ<strong>×</strong>ÔÔÖÛØ<br />

5<br />

(Z)¸ÒØ<strong>×</strong>ØÖÑÒ<strong>×</strong><br />

ØÖÒØÛÒØÑÙÐØÔÐØ<strong>×</strong>ÓØÓ<strong>×</strong>ÓÒÒÖÑÓÒÒÖØÓÖ<strong>×</strong>ÒÒ ÑÙÐØÔÐØ<strong>×</strong>ÖÓÑØÜÔÓÒÒØÒØÔÖÓÙØÓÖÑÙÐØÔÖÓÙØÓÖÑÙÐÚ<strong>×</strong>ÓÒÐÝ ÒØÚÑÙÐØÔÐØÝÒØÜÔÓÒÒغÀÓÛÚÖ¸ØÖ<strong>×</strong><strong>×</strong>ÙØÐ<strong>×</strong><strong>×</strong>ÙÒÜØÖØÒØ<br />

<strong>×</strong>ÑÓÖÐÏØØÒÒܺÓÑÔÖÒÛØØÒÓÑÒØÓÖÒØØÝ´º½µ¸ØÓÑÑÓÒ<br />

ÌÄÀËÓ´º½µ<strong>×</strong>ÒØÛØØÔÖÓÙØÓÖÑÙÐÓÖ∆ 5<br />

ØÔÓ<strong>×</strong>ØÚÖÓÓØ<strong>×</strong>L (Z)¸ÓÒÒ<strong>×</strong>Ý<strong>×</strong>ØÑØÐÐÝÓÒ<strong>×</strong>ØÖÙØØÃÅÄ<strong>×</strong>ÙÔÖ¹<br />

z))ÚÒÙ<strong>×</strong>ØÏÝÐÚØÓÖρº ØÓÖq 1/2 r 1/2 s 1/2ÒÒØÛØÜÔ(−πı(ρ, 1ÒØ<br />

−ρÒÕº´º½µ´ËÐ<strong>×</strong>Ó<strong>×</strong>ØÓÒº¿º½µº <strong>×</strong>Ñ<strong>×</strong>Ù<strong>×</strong>ØÓÓÒ<strong>×</strong>ØÖÙØØÓØÖÐÖ<strong>×</strong>ØØÓÙÖÒØ<strong>×</strong>ÔØÖºÓÖÛ<strong>×</strong>ÙÑÑÖÞ ÏÖØØÒÖÒØÒÓØØÓÒÓÖØ<strong>×</strong>ÒÓÒÆÙÐÒ¸ÛÖÒÔÖØÙÐÖ¸ÓÒÒ<strong>×</strong>ØÓÖÔÐρÝ<br />

ÚÒØÑÓÙÐÖÓÖÑ∆ 5<br />

ÐÖG 1ÖÓÑغÏÛÐÐÐÐÙ<strong>×</strong>ØÖØØ<strong>×</strong>ÔÖÓÙÖÓÖØ<strong>×</strong>ÓØÐÖG ½<br />

⎛ ⎧<br />

= ⎝<br />

w∈WØ(w)<br />

∑ ⎨<br />

⎩ e−πı(w(ρ),z) −<br />

∑<br />

η∈M II ∩R + M II<br />

m(η) e −πı(w(ρ+η),z) ⎫<br />

⎬<br />

⎭<br />

2,1<br />

≠<br />

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