No.1088
’ZŠú‹¤“¯Œ¤‹† Resurgent Functions ‚Ƈ¬Ï•û’öŽ®
’ZŠú‹¤“¯Œ¤‹†•ñW
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1998/01/12`1998/01/14
Αº@—²ˆê, ‰ª“c@–õ‘¥
Ryuichi Ishimura, Yasunori Okada
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–Ú@ŽŸ
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1. Birkhoff normal form of Hamiltonian systems and WKB-type formal solutions---------------------------------------------------------1
@@@@‹ž“s‘åŠw”—‰ðÍŒ¤‹†Š@@@’|ˆä ‹`ŽŸ@(Takei, Yoshitsugu)
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2. Exact WKB analysis for Schrodinger equations with periodic potentials------------------------------------------------------------22
@@@@‹ž“s‘åŠw”—‰ðÍŒ¤‹†Š@@@¬’r ’B–ç@(Koike, Tatsuya)
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3. Stokes geometry of Painleve equations with a large parameter---------------------------------------------------------------------39
@@@@‹ß‹E‘åŠw—HŠw•”@@@Â–Ø ‹MŽj@(Aoki, Takashi)
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4. Asymptotic analysis of the modified Bessel function with respect to the parameter------------------------------------------------55
@@@@ã’q‘åŠw—HŠw•”@@@“àŽR Nˆê@(Uchiyama, Koichi)
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5. ON THE COMPUTATION OF STOKES MULTIPLIERS VIA HYPERASYMPTOTICS--------------------------------------------------------------------68
@@@@Department of Mathematics and Statistics, King's Buildings, University of Edinburgh@@@Daalhuis, A.B. Olde
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6. ”ñüŒ^“ÁˆÙ1ŠK•Î”÷•ª•û’öŽ®‚Æ—L—Œ`ŒW”‚ÌŒ`Ž®‰ð (Resurgent Functions‚Ƈ¬Ï•û’öŽ®)------------------------------------------------79
@@@@ç—tH‹Æ‘åŠwHŠw•””Šw‹³Žº@@@ŽRª ‰pŽi@(Yamane, Hideshi)
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7. Overconvergence Phenomena For Generalized Dirichlet Series-----------------------------------------------------------------------83
@@@@Department of Mathematical Sciences, George Mason University@@@Struppa, Daniele C.
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8. The Continuation of Holomorphic Solutions for Convolution Equations in Complex Domains-------------------------------------------94
@@@@ç—t‘åŠw—Šw•” / ç—t‘åŠwŽ©‘R‰ÈŠwŒ¤‹†‰È / ç—t‘åŠw—Šw•”@@@Αº —²ˆê / ‰ª“c ƒˆê / ‰ª“c –õ‘¥@(Ishimura, Ryuichi / Okada, Jun-ichi / Okada, Yasunori)
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9. Examples of convolution equations in tube domains-------------------------------------------------------------------------------101
@@@@ç—t‘åŠw—Šw•” / ç—t‘åŠw—Šw•”@@@Αº —²ˆê / ‰ª“c –õ‘¥@(Ishimura, Ryuichi / Okada, Yasunori)
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