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T h e p u rp o se of th is p a p e r is to stu d y th e expansion w ith resp ect to th e large and real p a ra m e te r A of th e in teg ral /(A ) := fp f f(x Jo w hen w eak assu m p tio n s are req u ired for th e pseudofunctions / ( an d an d th e sym bol fp m eans th e in teg ratio n in th e finite p a rt sense of H ad am ard . J(X):=(H(X x )J (x )),(1.3) w here ( , ) denotes th e d u ality bracket and / belongs to a correct space of test functions or pseudofunctions. f T h is paper w asdoi:10.1098/rspa.1994.0087 fatcat:al2nphc43fgrrlvjzejban2ac4