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Inversion Theorems for the local Pompeiu transformation in the quaternion hyperbolic space
Author(s):
Vit.
V.
Volchkov;
N.
P.
Volchkova
Translated by:
N. Yu. Netsvetaev
Original publication:
Algebra i Analiz,
tom 15
(2003),
vypusk 5.
Journal:
St. Petersburg Math. J.
15
(2004),
753-771.
MSC (2000):
Primary 44A15, 53C65
Posted:
July 29, 2004
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Abstract:
A construction for inversion of the local Pompeiu transformation is obtained for the family consisting of two geodesic balls on the quaternion hyperbolic space.
References:
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Additional Information:
Vit.
V.
Volchkov
Affiliation:
Donetsk National University, Department of Mathematical Analysis and Function Theory, Ulitsa A. Malyshko 3, Donetsk, 83053, Ukraine
Email:
volchkov@univ.donetsk.ua
N.
P.
Volchkova
Affiliation:
Donetsk National University, Department of Mathematical Analysis and Function Theory, Ulitsa A. Malyshko 3, Donetsk, 83053, Ukraine
Email:
volchkov@univ.donetsk.ua
DOI:
10.1090/S1061-0022-04-00830-1
PII:
S 1061-0022(04)00830-1
Keywords:
Quaternionic hyperbolic space,
Pompeiu transformation,
theorem on two radii
Received by editor(s):
28/OCT/2002
Posted:
July 29, 2004
Additional Notes:
Partly supported by grant no. 01.07/00241 from the Foundation for Basic Research of Ukraine.
Copyright of article:
Copyright
2004,
American Mathematical Society
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