caa a22 4500 605523444 CHVBK 20210128100749.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10958-015-2625-9 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2625-9 On Functions on a Sphere with Zero Integrals Over Circumferences with Fixed Radius [Elektronische Daten] [Valerii Volchkov, Vitalii Volchkov, Irina Savostyanova] The functions on a two-dimensional sphere S $$ \mathbb{S} $$ 2 possessing the zero weighted means over circumferences with fixed radii are studied. The description of such functions in the form of expansions over spherical harmonics is presented. Various analogs of the well-known theorems of s radii on S $$ \mathbb{S} $$ 2, as well as new local theorems of one and two radii, are obtained. Springer Science+Business Media New York, 2015 Spherical means nationallicence Legendre functions nationallicence theorems of two radii nationallicence Volchkov Valerii Donetsk National University, Vinnytsia, Ukraine aut Volchkov Vitalii Donetsk National University, Vinnytsia, Ukraine aut Savostyanova Irina Donetsk National University, Vinnytsia, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 211/5(2015-12-01), 694-709 1072-3374 211:5<694 2015 211 10958 https://doi.org/10.1007/s10958-015-2625-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2625-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Volchkov Valerii Donetsk National University, Vinnytsia, Ukraine aut NATIONALLICENCE 700 1- Volchkov Vitalii Donetsk National University, Vinnytsia, Ukraine aut NATIONALLICENCE 700 1- Savostyanova Irina Donetsk National University, Vinnytsia, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 211/5(2015-12-01), 694-709 1072-3374 211:5<694 2015 211 10958