caa a22 4500 605522359 CHVBK 20210128100744.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s10958-015-2358-9 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2358-9 On the admissible asymptotic behavior of the functions with zero integrals over the geodesic lines on a sphere [Elektronische Daten] [Vitalii Volchkov, Irina Savost'yanova] We study the even functions on a sphere with zero integrals over all closed geodesic lines (large circles) that do not pass through the poles of the sphere. The admissible asymptotic behavior of such functions at the approach to a pole is found. Springer Science+Business Media New York, 2015 Minkowski transformation nationallicence Liouville property nationallicence Legendre functions nationallicence Volchkov Vitalii Chair of Mathematical Analysis and Differential Equations, Donetsk National University, 24, Universitetskaya Str., 83001, Donetsk, Ukraine aut Savost'yanova Irina Chair of Mathematical Analysis and Differential Equations, Donetsk National University, 24, Universitetskaya Str., 83001, Donetsk, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/1(2015-05-01), 107-116 1072-3374 207:1<107 2015 207 10958 https://doi.org/10.1007/s10958-015-2358-9 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/s10958-015-2358-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Volchkov Vitalii Chair of Mathematical Analysis and Differential Equations, Donetsk National University, 24, Universitetskaya Str., 83001, Donetsk, Ukraine aut NATIONALLICENCE 700 1- Savost'yanova Irina Chair of Mathematical Analysis and Differential Equations, Donetsk National University, 24, Universitetskaya Str., 83001, Donetsk, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 207/1(2015-05-01), 107-116 1072-3374 207:1<107 2015 207 10958