Quell| let D = 6 2 EC : 2 4 0, 2 + + ( 1+ i) 9 and f: D - C f ( 2 ) . 1 + Sin ( 1 /2 ) 2 2 - 21 1 . The function f ( 2 ) is entire ? 2. 2. = 1 + i is a double pole for f ( 2 ) 2 3 . Z . = - 1 - 1 is a simple pole for f (= ) ? 4. 20 : 0 is an essential singularity for f ( = )? 5 . (flatdz =0 1 21 = 1 6 . Rest ( 1 + 1 ) = ( 1 - i) / u 7 . f (z ) dz = 2 x1 8 . Resu ( - 1 - i ) = - 1 Now Consider my Jugular distribution Ix asocianed to me function s (t ) = I t sqact ) + HIE) Cost ( 24 ) thin, 9. act) is slowly invuasing? 10 . TX ' ( t ) = 2 8(t) + 2 H(t ) sinh ( 2+) 1 1. Ix has compact support . 12 . The laplace transform of x is ? 1 ( * ) (s ) = 2 + s s 52 - 4 13 . The fourier framform of Tix, (t ) - 2H(+) Sink ( 2t ) is ) Y( + 1 - 3