St. Petersburg Mathematical Society

Solvability of systems of nonhomogeneous convolution equations in convex domains in $\mathbb{C}$

Author(s): A. C. Krivosheev; S. N. Gantsev
Translated by: A. Plotkin
Original publication: Algebra i Analiz, tom 15 (2003), vypusk 6.
Journal: St. Petersburg Math. J. 15 (2004), 847-865.
MSC (2000): Primary 45E10, 46E10
Posted: November 16, 2004
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Abstract: A criterion for the solvability of systems of nonhomogeneous convolution equations in convex domains on the complex plane is obtained in terms of lower estimates for the characteristic functions of the convolution equations at their noncommon zeros.

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Additional Information:

DOI: 10.1090/S1061-0022-04-00835-0
PII: S 1061-0022(04)00835-0
Keywords: Spaces of analytic functions, analytic functional, convolution operator, regular growth
Received by editor(s): 17/APR/2002
Posted: November 16, 2004
Additional Notes: Supported by the RFBR grant no. 02-01-01100 and by a grant of the President of the Russian Federation for young Doctors of Sciences (no. 00-15-99283).
Copyright of article: Copyright 2004, American Mathematical Society

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ISSN: 1547-7371(e) ISSN: 1061-0022(p)

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