In this paper, by using the theory of wavelet convolution associated with Fourier convolution, operational properties are discussed on wavelet transform of \(S_{\omega }({\mathbb {R}}), {\mathcal {D}}_{\omega }({\mathbb {R}})\) and \({\mathcal {M}}_{c}\) spaces. Further, Calderón’s formula is investigated for \({\mathcal {W}}_{M, a}\) space.

中文翻译：

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小波变换的一些特征

本文利用与傅立叶卷积相关的小波卷积理论，讨论了\（S _ {\ omega}（{\ mathbb {R}}），{\ mathcal {D}} _ { \ omega}（{\ mathbb {R}}）\）和\（{\ mathcal {M}} _ {c} \）空格。此外，针对\（{\ mathcal {W}} _ {M，a} \）空间研究了Calderón的公式。