A rotation invariant differential equation for vector fields

H. M. Reimann

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1982)

  • Volume: 9, Issue: 1, page 159-174
  • ISSN: 0391-173X

How to cite

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Reimann, H. M.. "A rotation invariant differential equation for vector fields." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 9.1 (1982): 159-174. <http://eudml.org/doc/83874>.

@article{Reimann1982,
author = {Reimann, H. M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {rotation invariant operator; Dirichlet-problem; symmetric tensor fields with vanishing trace; series of spherical harmonics},
language = {eng},
number = {1},
pages = {159-174},
publisher = {Scuola normale superiore},
title = {A rotation invariant differential equation for vector fields},
url = {http://eudml.org/doc/83874},
volume = {9},
year = {1982},
}

TY - JOUR
AU - Reimann, H. M.
TI - A rotation invariant differential equation for vector fields
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1982
PB - Scuola normale superiore
VL - 9
IS - 1
SP - 159
EP - 174
LA - eng
KW - rotation invariant operator; Dirichlet-problem; symmetric tensor fields with vanishing trace; series of spherical harmonics
UR - http://eudml.org/doc/83874
ER -

References

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  1. [1] L.V. Ahlfors, Invariant operators and integral representations in hyperbolic space, Math. Scand., 36 (1975), pp. 27-43. Zbl0313.31009MR402036
  2. [2] L.V. Ahlfors, Quasiconformal deformations and mappings in Rn, J. Analyse Math., 30 (1976), pp. 74-97. Zbl0338.30017MR492238
  3. [3] P. Debye, Zur Theorie der spezifischen Wärmen, Ann. Physik, IV, 39 (1912), pp.789-839. Zbl43.1037.02JFM43.1037.02
  4. [4] A. Korányi, Some applications of Gelfand pairs in classical analysis, CIME, 1980. 
  5. [5] A. Korányi - S. Vagi, Group theoretic remarks on Riesz systems in balls, to appear. Zbl0497.43005
  6. [6] D.A. Levine, Systems of singular integral operators on spheres, Trans. Amer. Math. Soc., 144 (1969), pp. 493-522. Zbl0196.15803MR412743
  7. [7] S.G. Mihlin, Higher-dimensional singular integrals and integral equations, Fizmatgiz, Moscow, 1962; English translation: Pergamon Press, New York, 1965. MR155165
  8. [8] H. Weyl, Eigenschwingungen eines beliebig gestalteten elastischen Körpers, Rend. Circ. Mat. Palermo, 39 (1915), pp. 1-50 or Selecta Hermann Weyl, Birkhäuser, Basel, 1956. Zbl45.1016.02JFM45.1016.02

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