In this paper, we investigate the superstability of d'Alembert's functional equation where H is the Heisenberg group and the map i : H -β H is an automorphism of H such that i β’ i = id (the identity map).
An equation for the characteristic function of a stable distribution on the Heisenberg group
β Scribed by Yu. S. Khokhlov
- Publisher
- Springer US
- Year
- 1991
- Tongue
- English
- Weight
- 202 KB
- Volume
- 57
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
Suppose that K/U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg group H n . We say that (K, H n ) is a Gelfand pair if the convolution algebra L 1 K (H n ) of integrable K-invariant functions on H n is commutative. In this case, the Gelfand space 2(K, H n ) is equipped with th
Utilizing the theory of positive deΓΏnite densities we express the density of a t-random variable as the characteristic function of a convolution of two Gamma-variables. This allows us to obtain a simple interpretation and an expression for the characteristic function of the t-variable.