Integral Transforms of Fourier Cosine and Sine Generalized Convolution Type
Copyright policy ) Xuan Thao Nguyen; Vu Kim Tuan; Nguyen Thanh Hong;
Integral Transforms of Fourier Cosine and Sine Generalized Convolution Type
Integral transforms of the formf(x)↦g(x)=(1−d2/dx2){∫0∞k1(y)[f(|x+y−1|)+f(|x−y+1|)−f(x+y+1)−f(|x−y−1|)]dy+∫0∞k2(y)[f(x+y)+f(|x−y|)]dy}fromLp(ℝ+)toLq(ℝ+),(1≤p≤2,p−1+q−1=1)are studied. Watson's and Plancherel's theorems are obtained.
- Thuyloi University Viet Nam
- University of West Georgia United States
- Hai Phong University Viet Nam
Singular and oscillatory integrals (Calderón-Zygmund, etc.), QA1-939, Special integral transforms (Legendre, Hilbert, etc.), Mathematics
Singular and oscillatory integrals (Calderón-Zygmund, etc.), QA1-939, Special integral transforms (Legendre, Hilbert, etc.), Mathematics
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 9
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Top 10%
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