## Communicated by K. Guerlebeck An explicit algorithmic construction is given for orthogonal bases for spaces of homogeneous polynomials, in the context of Hermitean Clifford analysis, which is a higher dimensional function theory centered around the simultaneous null solutions of two Hermitean c
β¦ LIBER β¦
Hypercomplex derivative bases of polynomials in Clifford analysis
β Scribed by L. Aloui; G. F. Hassan
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 142 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1176
No coin nor oath required. For personal study only.
β¦ Synopsis
Communicated by K. GΓΌrlebeck
Convergence properties of hypercomplex derivative bases of special monogenic polynomials are studied. These new results extend and improve a lot of known works from the complex case to Clifford setting.
π SIMILAR VOLUMES
Gel'fandβTsetlin bases of orthogonal pol
β
F. Brackx; H. De Schepper; R. LΓ‘viΔka; V. SouΔek
π
Article
π
2011
π
John Wiley and Sons
π
English
β 399 KB
Solutions to the polynomial Dirac equati
β
Min Ku; Daoshun Wang
π
Article
π
2010
π
John Wiley and Sons
π
English
β 173 KB
In this paper we study polynomial Dirac equation p(D)f = 0 including (D-k)f = 0 with complex parameter k and D k f = 0(k β₯ 1) as special cases over unbounded subdomains of R n+1 . Using the Clifford calculus, we obtain the integral representation theorems for solutions to the equations satisfying ce
Commutative bases of derivations in poly
β
Andrzej Nowicki
π
Article
π
1986
π
Elsevier Science
π
English
β 206 KB
Computing expansion coefficients in orth
β
F. Sartoretto; R. Spigler
π
Article
π
1994
π
Elsevier Science
π
English
β 562 KB
Convergence of the derivatives of Lagran
β
Katherine BalΓ‘zs
π
Article
π
1988
π
Elsevier Science
π
English
β 156 KB
Existence of Unconditional Bases in Spac
β
Andreas Defant; Juan Carlos DΓaz; Domingo GarcΓa; Manuel Maestre
π
Article
π
2002
π
John Wiley and Sons
π
English
β 221 KB
π 1 views