Inversion of the Weighted Spherical Mean

نویسندگان

چکیده

The paper contains the inversion formula for weighted spherical mean. interest to reconstruction a function by its integral sphere grews tremendously in last six decades, stimulated spectrum of new problems and methods image reconstruction. We consider generalization classical mean inverse case when generalized translation acts instead regular. As particular this problem includes action means on radially symmetric functions.

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ژورنال

عنوان ژورنال: Springer proceedings in mathematics & statistics

سال: 2021

ISSN: ['2194-1009', '2194-1017']

DOI: https://doi.org/10.1007/978-3-030-77493-6_30