## Fundamental solutions for a class of hypoelliptic PDE generated by composition of quadratic forms

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- by Aroldo Kaplan PDF
- Trans. Amer. Math. Soc.
**258**(1980), 147-153 Request permission

## Abstract:

We introduce a class of nilpotent Lie groups which arise naturally from the notion of composition of quadratic forms, and show that their standard sublaplacians admit fundamental solutions analogous to that known for the Heisenberg group.## References

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## Additional Information

- © Copyright 1980 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**258**(1980), 147-153 - MSC: Primary 58G05; Secondary 22E30, 35H05
- DOI: https://doi.org/10.1090/S0002-9947-1980-0554324-X
- MathSciNet review: 554324