# On normal forms of Laplacian and its iterations in harmonic spaces

Masanori Kôzaki; Hidekichi Sumi

Commentationes Mathematicae Universitatis Carolinae (1989)

- Volume: 030, Issue: 4, page 795-802
- ISSN: 0010-2628

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topKôzaki, Masanori, and Sumi, Hidekichi. "On normal forms of Laplacian and its iterations in harmonic spaces." Commentationes Mathematicae Universitatis Carolinae 030.4 (1989): 795-802. <http://eudml.org/doc/17795>.

@article{Kôzaki1989,

author = {Kôzaki, Masanori, Sumi, Hidekichi},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {Euclidean Laplacians; curvature tensor; mean value operators; harmonic manifold; recurrence formula},

language = {eng},

number = {4},

pages = {795-802},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {On normal forms of Laplacian and its iterations in harmonic spaces},

url = {http://eudml.org/doc/17795},

volume = {030},

year = {1989},

}

TY - JOUR

AU - Kôzaki, Masanori

AU - Sumi, Hidekichi

TI - On normal forms of Laplacian and its iterations in harmonic spaces

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1989

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 030

IS - 4

SP - 795

EP - 802

LA - eng

KW - Euclidean Laplacians; curvature tensor; mean value operators; harmonic manifold; recurrence formula

UR - http://eudml.org/doc/17795

ER -

## References

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- Kowalski O., The second mean-value operator on Riemannian manifolds, in Proceedings of the CSSR-GDR-Polish Conference on Differential Geometry and its Applications, Nové Město 1980, pp. 33-45, Universita Karlova Praha, 1982. (1980) MR0663211
- Kowalski O., Normal forms of the Laplacian and its iterations in the symmetric spaces of rank one, Simon Stevin, Quart. J. Pure. Applied Math. 57 (1983), 215-223. (1983) Zbl0518.53053MR0721434
- Kôzaki M., On mean value theorems for small geodesic spheres in Riemannian manifolds, preprint. Zbl0782.53038MR1179316
- Kôzaki M., Ogura Y., On geometric and stochastic mean values for small geodesic spheres in Riemannian manifolds, Tsukuba J. Math. 11 (1987), 131-145. (1987) Zbl0641.53045MR0899727
- Ruse H. S., Walker A. G., Willmore T. J., Harmonic Spaces, Edizioni Cremonese, Roma, 1961. (1961) Zbl0134.39202MR0142062
- Watanabe Y., On the characteristic function of harmonic Kählerian spaces, Tohoku Math. J. 27 (1975), 12-24. (1975) Zbl0311.53068MR0365439

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