Abstract
We prove that the equation
$$2\bar z\partial _{\bar z} \bar w = 0_1 z \in G,$$
in whichB(z) ∈C ∞(G),B 0(z)=O(|z})α),α>0,z → 0, and
$$b(\varphi ) = \sum\limits_{k = - m_o }^m {b_k e^{ik\varphi } } $$
does not have nontrivial solutions in the classC ∞(G).
Similar content being viewed by others
References
I. N. Vekua,Generalized Analytic Functions [in Russian], Fizmatgiz, Moscow (1959).
Z. D. Usmanov,Generalized Cauchy-Riemann Systems with a Singular Point [in Russian], TadzikNIINTI, Dushanbe (1993).
Author information
Authors and Affiliations
Additional information
Translated fromMatematicheskie Zametki, Vol. 59, No. 2, pp. 278–283, February, 1996.
Rights and permissions
About this article
Cite this article
Usmanov, Z.D. The variety of solutions of the singular generalized Cauchy-Riemann System. Math Notes 59, 196–200 (1996). https://doi.org/10.1007/BF02310960
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02310960