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On the commutative product of distributions
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Abstract
The commutative products of the distributions $ x ^{r}$ {\linebreak}$\ln ^p |x|$ and $x^{-r-1} \ln ^q |x|$ and of $ \sgn x\,x ^{r} \ln ^p |x|$ and $\sgn x\,x^{-r-1} \ln ^q |x|$ are evaluated for $r=0,\pm 1, \pm 2, \ldots $ and $p ,q= 0, 1,2,\ldots.$
참고문헌 (5)
- "\it New generalized functions andmultiplication of distributions}" (1984), North-Holland Publishing Co.
- "\it The product of distributions}", pp.291~ (1971)
- "\it The product of the distributions$x_+^", pp.123~ (1971)
- "\it The product of the distributions $x^", pp.201~1 (1972)
- "\it Some results on the product ofdistributions", pp.317~ (1973)
관련 논문AI추천
CONVOLUTORS FOR THE SPACE OF FOURIER HYPERFUNCTIONSKwang Whoi Kim대한수학회 · 대한수학회지2005 · 제42권 제3호Laguerre expansions and products of distributionsFederico Martinez, Pedro Catuogno, Sandra Molina대한수학회 · 대한수학회논문집2008 · 제23권 제2호On the commutant of multiplication operators with analytic polynomial symbolsB. Khani Robati대한수학회 · 대한수학회보2007 · 제44권 제4호The Cauchy Representation of Integrable and Tempered BoehmiansDeshna Loonker, Pradeep Kumar Banerji경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제4호CHARACTERIZATIONS OF RAPIDLY DECREASING GENERALIZED FUNCTIONSChikh Bouzar, Tayeb Saidi대한수학회 · 대한수학회논문집2010 · 제25권 제3호Boehmians on the torusDennis Nemzer대한수학회 · 대한수학회보2006 · 제43권 제4호
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