Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 6 of 6 for “"Clifford analysis"”.
-
Multidimensional distributions and generalized Hilbert transforms in Clifford analysis
… of the Hilbert transform in the framework of Clifford analysis. Clifford analysis is a higher dimensional function theory in the framework of a Clifford algebra which may be seen as a multidimensional generalization of the theory of holomorphic functions in one complex variable and – at the …
-
Multi-dimensional continuous wavelet transforms and generalized fourier transforms in Clifford analysis
This work covers three mathematical analysis domains: Continuous Wavelet Transform, Fourier Transform and Clifford Analysis, and consists of three parts in which these domains interact. The one-dimensional continuous wavelet transform (CWT) is a successful tool for signal and image analysis, with …
-
Conformally Invariant Operators in Higher Spin Spaces
<p>In this dissertation, we complete the work of constructing arbitrary order conformally invariant operators in higher spin spaces, where functions take values in irreducible representations of Spin groups. We provide explicit formulas for them.</p> <p>We first construct the Dirac operator and …