Iterated Stieltjes transform of generalized functions
The generalized S2-transform of a member of f of a certain space of generalized functions is defined as F(x)=〈f(t),k(x,t;ρ)〉, wherek(x,t;ρ)=∫0∞1(x+y)ρ(y+t)ρ dy, ρ>12,0<x<∞ and 0<t<∞. An inversion theorem for the transform is established interpreting the oonver...
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171285000461 |
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| _version_ | 1832562122587897856 |
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| author | L. S. Dube |
| author_facet | L. S. Dube |
| author_sort | L. S. Dube |
| collection | DOAJ |
| description | The generalized S2-transform of a member of f of a certain space of generalized functions is defined as
F(x)=〈f(t),k(x,t;ρ)〉, wherek(x,t;ρ)=∫0∞1(x+y)ρ(y+t)ρ dy, ρ>12,0<x<∞ and 0<t<∞.
An inversion theorem for the transform is established interpreting the oonvergene in the weak distributional sense. |
| format | Article |
| id | doaj-art-a02200bd56ec4fe7bd4d638e628b2fe7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a02200bd56ec4fe7bd4d638e628b2fe72025-02-03T01:23:25ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018342543210.1155/S0161171285000461Iterated Stieltjes transform of generalized functionsL. S. Dube0Department of Mathematics, Vanier College, Montreal, CanadaThe generalized S2-transform of a member of f of a certain space of generalized functions is defined as F(x)=〈f(t),k(x,t;ρ)〉, wherek(x,t;ρ)=∫0∞1(x+y)ρ(y+t)ρ dy, ρ>12,0<x<∞ and 0<t<∞. An inversion theorem for the transform is established interpreting the oonvergene in the weak distributional sense.http://dx.doi.org/10.1155/S0161171285000461testing function spacedual spaceFrechet spaceiterated Stieltjes transformSchwartz distributionsgeneralized functions. |
| spellingShingle | L. S. Dube Iterated Stieltjes transform of generalized functions International Journal of Mathematics and Mathematical Sciences testing function space dual space Frechet space iterated Stieltjes transform Schwartz distributions generalized functions. |
| title | Iterated Stieltjes transform of generalized functions |
| title_full | Iterated Stieltjes transform of generalized functions |
| title_fullStr | Iterated Stieltjes transform of generalized functions |
| title_full_unstemmed | Iterated Stieltjes transform of generalized functions |
| title_short | Iterated Stieltjes transform of generalized functions |
| title_sort | iterated stieltjes transform of generalized functions |
| topic | testing function space dual space Frechet space iterated Stieltjes transform Schwartz distributions generalized functions. |
| url | http://dx.doi.org/10.1155/S0161171285000461 |
| work_keys_str_mv | AT lsdube iteratedstieltjestransformofgeneralizedfunctions |