Research Explorer

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Researcher

Bram De Knock

Awards & Distinctions

22 Results

2010

Hilbert transforms in Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

Bookchapter in Geometric algebra computing : in engineering and computer science

2009

On Cauchy and Martinelli-Bochner integral formulae in Hermitean Clifford analysis

Fred BrackxBram De KnockHennie De SchepperFranciscus Sommen

A1 Journal Article in BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY

On the CK-extension for a Special Overdetermined System in Complex Clifford Analysis

Bram De KnockDixan Peña PeñaFranciscus Sommen

The Hermitean Hilbert-Dirac connection

Fred BrackxBram De KnockHennie De Schepper

A1 Journal Article in ADVANCES IN APPLIED CLIFFORD ALGEBRAS

2008

A matrix Hilbert transform in Hermitean Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

A1 Journal Article in JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A new Hilbert transform in Hermitean Clifford analysis

Fred BrackxBram De KnockHennie De SchepperFranciscus Sommen

Hermitean Cauchy integral decomposition of continuous functions on hypersurfaces

Ricardo Abreu BlayaJuan Bory ReyesFred BrackxBram De KnockHennie De SchepperDixan Peña PeñaFranciscus Sommen

A1 Journal Article in BOUNDARY VALUE PROBLEMS

Multidimensional distributions and generalized Hilbert transforms in Clifford analysis

Bram De KnockFred BrackxHennie De Schepper

2007

A metric dependent Hilbert transform in Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

A1 Journal Article in BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

On generalized Hilbert transforms and their interaction with the Radon transform in Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

2006

A calculus scheme for Clifford distributions

Fred BrackxBram De KnockHennie De SchepperDavid Eelbode

A2 Journal Article in Tokyo journal of mathematics

A multidimensional Hilbert transform in anisotropic Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

A specific family of CLifford distributions

Fred BrackxBram De KnockHennie De Schepper

Curved Radon transforms and factorization of the Veronese equations in Clifford analysis

Bram De KnockNele De SchepperFranciscus Sommen

A2 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Distributions in Clifford Analysis: an Overview

Fred BrackxBram De KnockHennie De SchepperFranciscus Sommen

Generalized multidimensional Hilbert transforms in Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

A2 Journal Article in INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES

On the Fourier spectra of distributions in Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

A1 Journal Article in CHINESE ANNALS OF MATHEMATICS SERIES B

On the interplay between the Hilbert transform and conjugate harmonic functions

Fred BrackxBram De KnockHennie De SchepperDavid Eelbode

A1 Journal Article in MATHEMATICAL METHODS IN THE APPLIED SCIENCES

2005

De veralgemeende (hyperbolische) tangentialis van tweede orde in Clifford-analyse

Bram De KnockDavid Eelbode

Bookchapter in Richard Delanghe: een veelzijdig wiskundige

Generalized multi-dimensional Hilbert transforms involving spherical monogenics in the framework of Clifford analysis

Fred BrackxBram De KnockHennie De Schepper

Multi-vector spherical monogenics, spherical means and distributions in clifford analysis

Fred BrackxBram De KnockHennie De Schepper

A1 Journal Article in ACTA MATHEMATICA SINICA-ENGLISH SERIES

Some insights on the interplay getween the Hilbert transform and conjugate harmonic functions

Fred BrackxBram De KnockHennie De SchepperDavid Eelbode