In this paper we introduce a real integral transform which links trigonometric and Bessel functions. This allows us to construct a monogenic pseudo-exponential in Cli ord analysis. There is a deep di erence between odd and even dimensions.
Special functions in Clifford analysis and axial symmetry
β Scribed by F Sommen
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 933 KB
- Volume
- 130
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this paper, we consider rectangular domains in real Euclidean spaces of dimension at least 2, where the sides can be finite, semiβinfinite, or fully infinite. The Bergman reproducing kernel for the space of monogenic and square integrable functions on such a domain is obtained in clo
For Hamiltonians which are invariant under a group of transformations, one can restrict the search for the energy eigenstates in spaces whose functions transform according to the irreducible representations of the group. However, the construction of a Slater determinant to represent the equivalent n
Decomposition of an arbitrary cartesian tensor expressed in its principal axis system into two axially symmetric cartesian tensors greatly facilitates the calculation of spectral densities, the latter being the Fourier transform of correlation functions involving ( ) elements of those tensors. A str
a b s t r a c t Theodorus of , teacher of Plato und Theaetetus, is known for his proof of the irrationality of ## β n, n = 2, 3, 5, . . . , 17. He may have known also of a discrete spiral, today named after him, whose construction is based on the square roots of the numbers n = 1, 2, 3, . . .. Th