On reconstruction of distributions by spherical means

2019 ◽  
Vol 2019 (3) ◽  
pp. 49-59
Author(s):  
I.A. Ikromov ◽  
A.A. Rahmonov
Keyword(s):  
Spherical Means

Weighted mixed spherical means and singular ultrahyperbolic equation

Analysis ◽  
2016 ◽  
Vol 36 (2) ◽  
Author(s):  
Lev N. Lyakhov ◽  
Elina L. Shishkina
Keyword(s):  
Differential Equation ◽  
Spherical Means ◽  
Spherical Mean ◽  
Euclidian Space ◽  
Ultrahyperbolic Equation ◽  
Generalized Shift

AbstractWeighted mixed spherical means are constructed by using a generalized shift (in a Euclidian space a generalized shift acts with respect to one variable and a usual shift acts with respect to other variables). We obtain the differential equation for weighted mixed spherical mean and prove theorems on weighted mixed spherical means applied to the solution of the B-ultrahyperbolic equation.

The extension problem for functions with zero weighted spherical means

2017 ◽  
Vol 61 (8) ◽  
pp. 13-21
Author(s):  
Vit. V. Volchkov ◽  
N. P. Volchkova
Keyword(s):  
Extension Problem ◽  
Spherical Means

Analog of the john theorem for weighted spherical means on a sphere

2013 ◽  
Vol 65 (5) ◽  
pp. 674-683 ◽  
Author(s):  
Vit. V. Volchkov ◽  
I. M. Savost’yanova
Keyword(s):  
Spherical Means

scholarly journals Spherical Means, Wave Equations, and Hermite–Laguerre Expansions

1998 ◽  
Vol 154 (2) ◽  
pp. 253-290 ◽  
Author(s):  
P.K Ratnakumar ◽  
S Thangavelu
Keyword(s):  
Wave Equations ◽  
Spherical Means ◽  
Laguerre Expansions

The removability problem for functions with zero spherical means

2017 ◽  
Vol 58 (3) ◽  
pp. 419-426
Author(s):  
Vit. V. Volchkov ◽  
N. P. Volchkova
Keyword(s):  
Spherical Means
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