Abstract
We study a version of Gleason's problem in the setting of functions of class C1 in the unit ball of ℂ2. We use the setting of hyperholomorphic functions to define and solve the problem. Finally, we briefly discuss a tangential interpolation problem for hyperholomorphic functions.
Acknowledgement
The research of Daniel Alpay was supported by the Israel Science Foundation (Grant No. 322/00). The research of Michael Shapiro was partially supported by CONACYT projects as well as by Instituto Politécnico Nacional in the framework of COFAA and CGPI programs.
Notes
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