On the admissible asymptotic behavior of the functions with zero integrals over the geodesic lines on a sphere

Verfasser / Beitragende:
[Vitalii Volchkov, Irina Savost'yanova]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/1(2015-05-01), 107-116
Format:
Artikel (online)
ID: 605522359
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024 7 0 |a 10.1007/s10958-015-2358-9  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2358-9 
245 0 0 |a On the admissible asymptotic behavior of the functions with zero integrals over the geodesic lines on a sphere  |h [Elektronische Daten]  |c [Vitalii Volchkov, Irina Savost'yanova] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a Minkowski transformation  |2 nationallicence 
690 7 |a Liouville property  |2 nationallicence 
690 7 |a Legendre functions  |2 nationallicence 
700 1 |a Volchkov  |D Vitalii  |u Chair of Mathematical Analysis and Differential Equations, Donetsk National University, 24, Universitetskaya Str., 83001, Donetsk, Ukraine  |4 aut 
700 1 |a Savost'yanova  |D Irina  |u Chair of Mathematical Analysis and Differential Equations, Donetsk National University, 24, Universitetskaya Str., 83001, Donetsk, Ukraine  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/1(2015-05-01), 107-116  |x 1072-3374  |q 207:1<107  |1 2015  |2 207  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2358-9  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2358-9  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Volchkov  |D Vitalii  |u Chair of Mathematical Analysis and Differential Equations, Donetsk National University, 24, Universitetskaya Str., 83001, Donetsk, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Savost'yanova  |D Irina  |u Chair of Mathematical Analysis and Differential Equations, Donetsk National University, 24, Universitetskaya Str., 83001, Donetsk, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/1(2015-05-01), 107-116  |x 1072-3374  |q 207:1<107  |1 2015  |2 207  |o 10958