Periodic Delta Function and Poisson Integral for - Gauge-institute.org
Periodic Delta Function and Poisson Integral for - Gauge-institute.org
Periodic Delta Function and Poisson Integral for - Gauge-institute.org
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<strong>Gauge</strong> Institute JournalH. Vic Dannon5.<strong>Periodic</strong> <strong>Delta</strong> <strong>Function</strong> δ ( ξ − x)5.1 <strong>Periodic</strong> <strong>Delta</strong> <strong>Function</strong><strong>Periodic</strong>δ<strong>Periodic</strong>( ξ− x) = ... + δξ ( − x + 2) + δξ ( − x) + δξ ( −x− 2) +...is a periodic hyper-real <strong>Delta</strong> function, with period T = 2 .In [Dan8], we obtained1 inπξ( x) 1 iπξ( x)2 2− − − −δ<strong>Periodic</strong>( ξ − x) = ... + e + ... + e1 1 i πξ ( − x ) 1 in πξ ( − x )ee2 2 2+ + + ... + + ...22
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