dc.contributor.author |
Fisher, Brian
|
|
dc.contributor.author |
Taş, Kenan
|
|
dc.date.accessioned |
2020-04-10T09:34:15Z |
|
dc.date.available |
2020-04-10T09:34:15Z |
|
dc.date.issued |
2006-11 |
|
dc.identifier.citation |
Fisher, B; Taş, Kenan, "On the non-commutative neutrix product of the distributions x(+)(lambda) and x(+)(mu)", Acta Mathematica Sinica-English Series, Vol.22, No.6, pp.1639-1644, (2006). |
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dc.identifier.issn |
1439-8516 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/3051 |
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dc.description.abstract |
Let f and g be distributions and let g(n) = (g * delta(n))(x), where delta(n)(x) is a certain sequence converging to the Dirac delta function. The non-commutative neutrix product f circle g of f and g is defined to be the limit of the sequence {fg(n)}, provided its limit h exists in the sense that
[GRAPHICS]
for all functions p in D. It is proved that
(x(+)(lambda)ln(p)x(+)) circle (x(+)(mu)ln(q)x(+)) = x(+)(lambda+mu)ln(p+q)x(+), (x(-)(lambda)ln(p)x(-)) circle (x(-)mu ln(q)x(-)) = x(-)(lambda+mu)ln(p+q)x(-),
for lambda + mu < -1; lambda,mu,lambda+mu not equal -1,-2,... and p,q = 0,1,2..... |
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dc.language.iso |
eng |
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dc.publisher |
Springer Heidelberg |
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dc.relation.isversionof |
10.1007/s10114-005-0762-7 |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
Distribution |
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dc.subject |
Delta Function |
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dc.subject |
Product Of Distributions |
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dc.title |
On the non-commutative neutrix product of the distributions x(+)(lambda) and x(+)(mu) |
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dc.type |
article |
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dc.relation.journal |
Acta Mathematica Sinica-English Series |
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dc.contributor.authorID |
4971 |
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dc.identifier.volume |
22 |
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dc.identifier.issue |
6 |
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dc.identifier.startpage |
1639 |
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dc.identifier.endpage |
1644 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü |
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