Ordered Representations of Normal and Super-Differential Operators in Quaternion and Octonion Hilbert Spaces
✍ Scribed by S. V. Ludkowski; W. Sprössig
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 322 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0188-7009
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📜 SIMILAR VOLUMES
The explicit closed-form solutions for a second-order differential equation with a constant self-adjoint positive definite operator coefficient A (the hyperbolic case) and for the abstract Euler-Poisson-Darboux equation in a Hilbert space are presented. On the basis of these representations, we prop
## Abstract We study the existence of solutions of the general elliptic system of partial differential equations in the space where the principal part may be represented with the help of a CLIFFORDalgebra 𝔄. We construct an integral representation and discuss the properties of the kernels.