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Delanghe, R.; Brackx, F.

Hypercomplex function theory and Hilbert modules with reproducing kernel. (English) Zbl 0392.46019

Proc. Lond. Math. Soc., III. Ser. 37, 545-576 (1978).
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scan of Zbl 0392.46019

Cited in 3 Reviews
Cited in 58 Documents

MSC:

46E20 Hilbert spaces of continuous, differentiable or analytic functions
30D55 \(H^p\)-classes (MSC2000)
31A30 Biharmonic, polyharmonic functions and equations, Poisson’s equation in two dimensions
32A30 Other generalizations of function theory of one complex variable
46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
30H05 Spaces of bounded analytic functions of one complex variable

Keywords:

Bergman Kernel; Hypercomplex Function Theory; Szegoe Kernel; Hilbert Modules; Right Frechet A-Module; Clifford Algebra; Polyanalytic Functions; Reproducing Kernel; Hypercomplex Differential Operator; Strongly Elliptic System; Cauchy’s Formula; Noncommutative H*-Algebra; Cauchy-Riemann Operator; Left K-Monogenic Function; Mean-Value Theorem; Aronszajn-Bergman Theorem; Polyharmonic Functions; Laplacian; Taylor Series Expansion
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