
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.
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
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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