THE n-DIMENSIONAL CONTINUOUS WAVELET TRANSFORMATION ON GELFAND AND SHILOV TYPE SPACES
نویسندگان
چکیده
In this paper the wavelet transformation on Gelfand and Shilov spaces of type WM ( ), W (∆) and W M (∆ ) is studied. It is shown that Wψφ :WM ( )→WM ( n × +), Wψφ :W Ω (∆)→W (∆ × +) andWψφ :W M (∆)→W M (∆ × +) is linear and continuous where n and ∆ are n-dimensional real numbers and complex numbers. A boundedness result in a generalized Sobolev space is derived.
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