Fundamental solutions for translation and rotation invariant differential operators on the Heisenberg group

Priscilla Gorelli

Colloquium Mathematicae (2000)

  • Volume: 83, Issue: 2, page 183-200
  • ISSN: 0010-1354

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Gorelli, Priscilla. "Fundamental solutions for translation and rotation invariant differential operators on the Heisenberg group." Colloquium Mathematicae 83.2 (2000): 183-200. <http://eudml.org/doc/210780>.

@article{Gorelli2000,
abstract = {},
author = {Gorelli, Priscilla},
journal = {Colloquium Mathematicae},
keywords = {Heisenberg group; solvability; left invariant differential operators; fundamental solution},
language = {eng},
number = {2},
pages = {183-200},
title = {Fundamental solutions for translation and rotation invariant differential operators on the Heisenberg group},
url = {http://eudml.org/doc/210780},
volume = {83},
year = {2000},
}

TY - JOUR
AU - Gorelli, Priscilla
TI - Fundamental solutions for translation and rotation invariant differential operators on the Heisenberg group
JO - Colloquium Mathematicae
PY - 2000
VL - 83
IS - 2
SP - 183
EP - 200
AB -
LA - eng
KW - Heisenberg group; solvability; left invariant differential operators; fundamental solution
UR - http://eudml.org/doc/210780
ER -

References

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  1. [1] C. Benson, A. H. Dooley and G. Ratcliff, Fundamental solutions for powers of the Heisenberg sub-laplacian}, Illinois J. Math. 37 (1993), 455-476. Zbl0789.22012
  2. [2] C. Benson, J. Jenkins, G. Ratcliff and T. Worku, Spectra for Gelfand pairs associated with the Heisenberg group, Colloq. Math. 71 (1996), 305-328. Zbl0876.22011
  3. [3] J. Bochnak, M. Coste et M.-F. Roy, Géométrie Algébrique Réelle, Ergeb. Math. Grenzgeb. 12, Springer, Berlin, 1987. 
  4. [4] W. Chang, Invariant differential operators and P-convexity of solvable Lie groups, Adv. Math. 46 (1982), 284-304. Zbl0506.22012
  5. [5] A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, 1953. Zbl0051.30303
  6. [6] G. B. Folland and E. M. Stein, Estimates for the v e r l i n e b complex and analysis on the Heisenberg group, Comm. Pure Appl. Math. 27 (1974), 429-522. Zbl0293.35012
  7. [7] L. Hörmander, Analysis of Linear Partial Differential Operators II, Springer, Berlin, 1983. Zbl0521.35002
  8. [8] L. Schwartz, z Théorie des distributions. Tome I, Hermann, Paris, 1957. 
  9. [9] E. M. Stein, An example on the Heisenberg group related to the Lewy operator, Invent. Math. 69 (1982), 209-216. Zbl0515.58032
  10. [10] G. Szegő, Orthogonal Polynomials, Colloq.Publ. 23, Amer. Math. Soc., 1975. 

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