dc.contributor.author |
Al-Omari, Shrideh Khalaf
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Nisar, Kottakkaran Sooppy
|
|
dc.date.accessioned |
2023-02-13T12:04:33Z |
|
dc.date.available |
2023-02-13T12:04:33Z |
|
dc.date.issued |
2020-12-01 |
|
dc.identifier.citation |
Al-Omari, Shrideh Khalaf...et al. (2020). "δ-β-Gabor integral operators for a space of locally integrable generalized functions", Advances in Difference Equations, Vol. 2020, No. 1. |
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dc.identifier.issn |
1687-1839 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/6218 |
|
dc.description.abstract |
In this article, we give a definition and discuss several properties of the δ-β-Gabor integral operator in a class of locally integrable Boehmians. We derive delta sequences, convolution products and establish a convolution theorem for the given δ-β-integral. By treating the delta sequences, we derive the necessary axioms to elevate the δ-β-Gabor integrable spaces of Boehmians. The said generalized δ-β-Gabor integral is, therefore, considered as a one-to-one and onto mapping continuous with respect to the usual convergence of the demonstrated spaces. In addition to certain obtained inversion formula, some consistency results are also given. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.1186/s13662-020-02961-x |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
Boehmian |
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dc.subject |
Gabor Integral |
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dc.subject |
Signal |
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dc.subject |
Time-Frequency Integral |
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dc.subject |
Window Function |
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dc.subject |
Δ-Β-Gabor Integral |
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dc.title |
δ-β-Gabor integral operators for a space of locally integrable generalized functions |
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dc.type |
article |
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dc.relation.journal |
Advances in Difference Equations |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
2020 |
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dc.identifier.issue |
1 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü |
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