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On the Ambiguity of Defining and Measuring Inter-Harmonics


Book ID
114583612
Publisher
IEEE
Year
2001
Tongue
English
Weight
861 KB
Volume
21
Category
Article
ISSN
0272-1724

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πŸ“œ SIMILAR VOLUMES


On the Regularity of Harmonic Functions
✍ Lawrence E. Thomas πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 140 KB

A growth lemma for certain discrete symmetric Laplacians defined on a lattice Z d Ξ΄ = Ξ΄Z d βŠ‚ R d with spacing Ξ΄ is proved. The lemma implies a De Giorgi theorem, that the harmonic functions for these Laplacians are equi-HΓΆlder continuous, Ξ΄ β†’ 0. These results are then applied to establish regularity

On the principle of harmonic measure
✍ Maurice Heins πŸ“‚ Article πŸ“… 1959 πŸ› European Mathematical Society 🌐 English βš– 632 KB