Geodesic
On function with zero integrals over balls of fixed radius
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 3, pp. 493-501 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study various classes of function that have zero integrals over all balls of given radius. The problem of the existence of nonzero function of prescribed growth with this property is solved. 
@article{JMAG_2002_9_3_a17,
     author = {O. A. Ochakovskaya},
     title = {On function with zero integrals over balls of fixed radius},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {493--501},
     year = {2002},
     volume = {9},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a17/}
}
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O. A. Ochakovskaya. On function with zero integrals over balls of fixed radius. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 3, pp. 493-501. http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a17/