Generalization Of A Theorem Of Boas To A Class Of Integral Transforms
Fourier Transformation; Singular Sturm-Liouville Problem; Weber transformation
R. Boas obtained a characterization of the class of all square integrable functions vanishing on some interval of the form [−σ, σ] in terms of the behavior of its Fourier transform. An analogue of Boas’ theorem is obtained. A characterization of the image of the space of square integrable functions vanishing on some interval under various integral transformations is derived. The class of integral transformations considered is related to singular Sturm-Liouville boundary-value problems on a half line.
Results in Mathematics
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Tuan, V. Kim and Zayed, Ahmed I., "Generalization Of A Theorem Of Boas To A Class Of Integral Transforms" (2000). Scopus Export 2000s. 757.