Uncertainty Principles for the q-Hankel–Stockwell Transform
By using the q -Jackson integral and some elements of the q -harmonic analysis associated with the q -Hankel transform, we introduce and study a q -analog of the Hankel–Stockwell transform. We present some properties from harmonic analysis (Plancherel formula, inversion formula, reproducing kernel,...
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| Veröffentlicht in: | Ukrainian mathematical journal 2023-12, Vol.75 (7), p.1016-1033 |
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| container_issue | 7 |
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| container_title | Ukrainian mathematical journal |
| container_volume | 75 |
| creator | Brahim, Kamel Elmonser, Hédi Ben |
| description | By using the
q
-Jackson integral and some elements of the
q
-harmonic analysis associated with the
q
-Hankel transform, we introduce and study a
q
-analog of the Hankel–Stockwell transform. We present some properties from harmonic analysis (Plancherel formula, inversion formula, reproducing kernel, etc.). Furthermore, we establish a version of Heisenberg’s uncertainty principles. Finally, we study the
q
-Hankel–Stockwell transform on a subset of finite measure. |
| doi_str_mv | 10.1007/s11253-023-02244-0 |
| format | Article |
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q
-Jackson integral and some elements of the
q
-harmonic analysis associated with the
q
-Hankel transform, we introduce and study a
q
-analog of the Hankel–Stockwell transform. We present some properties from harmonic analysis (Plancherel formula, inversion formula, reproducing kernel, etc.). Furthermore, we establish a version of Heisenberg’s uncertainty principles. Finally, we study the
q
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q
-Jackson integral and some elements of the
q
-harmonic analysis associated with the
q
-Hankel transform, we introduce and study a
q
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q
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q
-Jackson integral and some elements of the
q
-harmonic analysis associated with the
q
-Hankel transform, we introduce and study a
q
-analog of the Hankel–Stockwell transform. We present some properties from harmonic analysis (Plancherel formula, inversion formula, reproducing kernel, etc.). Furthermore, we establish a version of Heisenberg’s uncertainty principles. Finally, we study the
q
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| fulltext | fulltext |
| identifier | ISSN: 0041-5995 |
| ispartof | Ukrainian mathematical journal, 2023-12, Vol.75 (7), p.1016-1033 |
| issn | 0041-5995 1573-9376 |
| language | eng |
| recordid | cdi_proquest_journals_2899097144 |
| source | SpringerNature Journals |
| subjects | Algebra Analysis Applications of Mathematics Fourier analysis Geometry Harmonic analysis Mathematics Mathematics and Statistics Principles Statistics Uncertainty principles |
| title | Uncertainty Principles for the q-Hankel–Stockwell Transform |
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