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The continuous wavelet transform is extended to certain distributions and continuity results are obtained. Boundedness results in a generalized Sobolev space, Besov space and Lizorkin-Triebel space are given. 2000 Mathematics Subject Classification. Primary 42C40; Secondary 46F12.doi:10.2748/tmj/1113246676 fatcat:vczedr4vvnaqldtppc4ds2omza