The problem of shadow for balls with fixed radius
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DOI: 10.1007/s10958-017-3438-9
Abstract: Our main purpose is the solution of the problem of shadow for a family of balls with fixed radius in the n-dimensional Euclidean space. Many similar problems were studied in the works of one of… read more here.
Keywords: shadow balls; fixed radius; balls fixed; problem shadow ... See more keywords
On Functions with Zero Integral Moments over Balls of Fixed Radius
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DOI: 10.1134/s1064562418030213
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… read more here.
Keywords: balls fixed; integral moments; zero integral; zero integrals ... See more keywords