Fourier Cosine and Sine Transformable Boehmians
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The range spaces of Fourier cosine and sine transforms on L1([0,∞)) are characterized. Using Fourier cosine and sine type convolutions, Fourier cosine and sine transformable Boehmian spaces have been constructed, which properly contain L1([0,∞)). The Fourier cosine and sine transforms are extended to these Boehmian spaces consistently and their properties are established.
Abstract
The range spaces of Fourier cosine and sine transforms on L1([0,∞)) are characterized. Using Fourier cosine and sine type convolutions, Fourier cosine and sine transformable Boehmian spaces have been constructed, which properly contain L1([0,∞)). The Fourier cosine and sine transforms are extended to these Boehmian spaces consistently and their properties are established.
참고문헌 (12)
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