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We consider precise conditions ensuring that a function having zero integrals over all balls of fixed radius is equal to zero. The case where, together with zero integrals for f… Click to show full abstract
We consider precise conditions ensuring that a function having zero integrals over all balls of fixed radius is equal to zero. The case where, together with zero integrals for f over congruent balls, the functions xjf for all j have zero integrals over these balls is completely investigated. An inversion formula recovering a function in the class C∞ from indicated integral moments is derived.
Keywords:
balls fixed;
integral moments;
zero integral;
zero integrals;
fixed radius;
functions zero
Journal Title: Doklady Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Doklady Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!