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Abstract and Applied Analysis
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Abstract and Applied Analysis
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On Diffraction Fresnel Transforms for Boehmians

حول تحولات حيود فريسنل للبوهميين
Authors: Shrideh Al‐Omari; Adem Kılıçman;

On Diffraction Fresnel Transforms for Boehmians

Abstract

The theory of the diffraction Fresnel transform is extended to certain spaces of Schwartz distributions. In the context of Boehmian spaces, the diffraction Fresnel transform is obtained as a continuous function. Convergence with respect to δ and Δ is also defined.

Country
Malaysia
Keywords

Economics, Context (archaeology), Schwartz distributions, Fresnel diffraction, QA1-939, FOS: Mathematics, Economic growth, Seismic Waveform Inversion in Geophysics, Fresnel integral, Applied Mathematics, Physics, Fractional Fourier Transform Analysis, Paleontology, Optics, Geology, FOS: Earth and related environmental sciences, Quaternionic Analysis and Applications, Earth and Planetary Sciences, Geophysics, Physical Sciences, Convergence (economics), Integral transforms in distribution spaces, Dunkl Transform, Diffraction, Mathematics, Boehmian spaces

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Top 10%
gold