On Functions on a Sphere with Zero Integrals Over Circumferences with Fixed Radius
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2625-9 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2625-9 | ||
| 245 | 0 | 0 | |a On Functions on a Sphere with Zero Integrals Over Circumferences with Fixed Radius |h [Elektronische Daten] |c [Valerii Volchkov, Vitalii Volchkov, Irina Savostyanova] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a Spherical means |2 nationallicence | |
| 690 | 7 | |a Legendre functions |2 nationallicence | |
| 690 | 7 | |a theorems of two radii |2 nationallicence | |
| 700 | 1 | |a Volchkov |D Valerii |u Donetsk National University, Vinnytsia, Ukraine |4 aut | |
| 700 | 1 | |a Volchkov |D Vitalii |u Donetsk National University, Vinnytsia, Ukraine |4 aut | |
| 700 | 1 | |a Savostyanova |D Irina |u Donetsk National University, Vinnytsia, Ukraine |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/5(2015-12-01), 694-709 |x 1072-3374 |q 211:5<694 |1 2015 |2 211 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2625-9 |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/s10958-015-2625-9 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Volchkov |D Valerii |u Donetsk National University, Vinnytsia, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Volchkov |D Vitalii |u Donetsk National University, Vinnytsia, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Savostyanova |D Irina |u Donetsk National University, Vinnytsia, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/5(2015-12-01), 694-709 |x 1072-3374 |q 211:5<694 |1 2015 |2 211 |o 10958 | ||