Generalized spherical mean value operators on Euclidean space

2020/03/22 by Yasunori Okada, Okada, Yasunori, Hideshi Yamane +1
Engineering · Mathematics · Medicine · #Photoacoustic and Ultrasonic Imaging #Numerical methods in inverse problems #Optical Imaging and Spectroscopy Techniques

paper · pdf · doi:10.48550/arxiv.2003.10005

Abstract

We consider the Neumann version of the spherical mean value operator and its variants in the space of smooth functions, distributions and compactly supported ones. Surjectivity and range characterization issues are addressed from the viewpoint of convolution equations.

Citations

• Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces

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