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Details for article 49 of 91 found articles
| Title: |
INTEGRAL REPRESENTATIONS IN COMPLEX, HYPERCOMPLEX AND CLIFFORD ANALYSIS |
| Author: |
Begehr, Heinrich |
| Appeared in: |
Integral transforms and special functions |
| Paging: | Volume 13 (2002) nr. 3 pages 223-241 |
| Year: |
2002 |
| Contents: |
Iterating the Pompeiu integral operator leads to area integral operators being right inverses to proper powers of the Cauchy-Riemann differential operator. These integral operators serve to solve boundary value problems for differential equations the leading term of which is some power of the Cauchy-Riemann operator. This situation in investigated also for products of powers of the Cauchy-Riemann operator and its complex conjugate. Besides the complex cases of one and of several complex variables the consideration can be extended to the'hyper"complex and actually is extended to the Clifford analysis case. The generalized Cauchy-Pompeiu formula is used to orthogonally decompose the set L_{2}(D,{\open C}) with respect to polyanalytic and polyharmonic functions. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 49 of 91 found articles
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