Simply Harmonic Riemann Extensions
β Scribed by Patterson, E. M.
- Book ID
- 120099263
- Publisher
- Oxford University Press
- Year
- 1952
- Tongue
- English
- Weight
- 194 KB
- Volume
- s1-27
- Category
- Article
- ISSN
- 0024-6107
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π SIMILAR VOLUMES
Continued from Partyka and Sakan (Bull. Soc. Sci. Letters LΓ odΓ z 47 (1997) 51-63) this paper aims at giving necessary and su cient conditions on sense-preserving homeomorphisms of the unit circle for the quasiconformality of their harmonic extensions to the unit disk. In particular, all such homeo
## Abstract We obtain harmonic extensions to the upper half space of distributions in the weighted space __w__^__n__ +1^__D__ β², which is the optimal space of tempered distributions __S__ β²βconvolvable with the classical Euclidean version of the Poisson kernel. We also characterize the class of har
We calculate the dimension of the space of harmonic spinors on hyperelliptic Riemann surfaces for all spin structures. Furthermore, we present non-hyperelliptic examples of genus 4 and 6 on which the maximal possible number of linearly independent harmonic spinors is achieved.