Hyperfunctions on fractal boundaries. (English) Zbl 1151.46029
Imayoshi, Yoichi (ed.) et al., Complex analysis and applications. Proceedings of the 15th international conference on finite or infinite dimensional complex analysis and applications, Osaka, Japan, July 30–August 3, 2007. Osaka: Osaka Municipal Universities Press (ISBN 978-4-901409-37-7/hbk). OCAMI Studies 2, 255-260 (2007).
Summary: A concept of hyperfunction on a fractal boundary \(C\) on the unit circle in the complex plane is introduced. Hyperfunction solutions for functions of \(L^2(C,d\mu)\) are constructed by use of wavelet expansion of Schauder type, where \(\mu\) is the Hausdorff measure on \(C\).
For the entire collection see [Zbl 1132.30002].
For the entire collection see [Zbl 1132.30002].
MSC:
| 46F15 | Hyperfunctions, analytic functionals |
| 30E25 | Boundary value problems in the complex plane |
| 32F45 | Invariant metrics and pseudodistances in several complex variables |
| 58J15 | Relations of PDEs on manifolds with hyperfunctions |
