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1

Generalized Hermitean Clifford–Hermite polynomials and the associated wavelet transform

Fred Brackx, Hennie De Schepper, Nele De Schepper, Frank Sommen

Journal:

Mathematical Methods in the Applied Sciences

Year:

2009

Language:

english

File:

PDF, 232 KB

english, 2009

2

Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel

Delanghe, R., Brackx, F.

Journal:

Proceedings of the London Mathematical Society

Year:

1978

Language:

english

File:

PDF, 712 KB

english, 1978

3

Hermitean Clifford-Hermite Polynomials

F. Brackx, H. De Schepper, N. De Schepper, F. Sommen

Journal:

Advances in Applied Clifford Algebras

Year:

2007

Language:

english

File:

PDF, 467 KB

english, 2007

4

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

F. Brackx, B. De Knock, H. De Schepper, F. Sommen

Journal:

Bulletin of the Brazilian Mathematical Society, New Series

Year:

2009

Language:

english

File:

PDF, 196 KB

english, 2009

5

Cauchy Integral Formulae in Quaternionic Hermitean Clifford Analysis

Ricardo Abreu-Blaya, Juan Bory-Reyes, Fred Brackx, Hennie De Schepper, Frank Sommen

Journal:

Complex Analysis and Operator Theory

Year:

2012

Language:

english

File:

PDF, 250 KB

english, 2012

6

Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis

Abreu-Blaya, Ricardo, Bory-Reyes, Juan, Brackx, Fred, De Schepper, Hennie, Sommen, Frank

Journal:

Complex Variables and Elliptic Equations

Year:

2013

Language:

english

File:

PDF, 162 KB

english, 2013

7

Hermitean Cauchy Integral Decomposition of Continuous Functions on Hypersurfaces

Blaya, Ricardo Abreu, Reyes, Juan Bory, Brackx, Fred, De Knock, Bram, De Schepper, Hennie, Peña, Dixan Peña, Sommen, Frank

Journal:

Boundary Value Problems

Year:

2007

Language:

english

File:

PDF, 166 KB

english, 2007

8

Duality in hypercomplex function theory

R Delanghe, F Brackx

Journal:

Journal of Functional Analysis

Year:

1980

Language:

english

File:

PDF, 803 KB

english, 1980

9

Clifford algebra-valued orthogonal polynomials in Euclidean space

F. Brackx, N. De Schepper, F. Sommen

Journal:

Journal of Approximation Theory

Year:

2005

Language:

english

File:

PDF, 147 KB

english, 2005

10

On the Structure of Complex Clifford Algebra

F. Brackx, H. De Schepper, V. Souček

Journal:

Advances in Applied Clifford Algebras

Year:

2011

Language:

english

File:

PDF, 380 KB

english, 2011

11

The Clifford-Fourier Transform

Fred Brackx, Nele De Schepper, Frank Sommen

Journal:

Journal of Fourier Analysis and Applications

Year:

2005

Language:

english

File:

PDF, 118 KB

english, 2005

12

The Two-Dimensional Clifford-Fourier Transform

Fred Brackx, Nele De Schepper, Frank Sommen

Journal:

Journal of Mathematical Imaging and Vision

Year:

2006

Language:

english

File:

PDF, 364 KB

english, 2006

13

Fundaments of Hermitean Clifford Analysis Part I: Complex Structure

Fred Brackx, Jarolím Bureš, Hennie De Schepper, David Eelbode, Frank Sommen, Vladímir Souček

Journal:

Complex Analysis and Operator Theory

Year:

2007

Language:

english

File:

PDF, 255 KB

english, 2007

14

Reproducing bergman kernels in clifford analysis

Brackx, F., Sommen, F., Van Acker, N.

Journal:

Complex Variables and Elliptic Equations

Year:

1994

Language:

english

File:

PDF, 604 KB

english, 1994

15

The exponential function of a quaternion variable

Journal:

Applicable Analysis

Year:

1979

Language:

english

File:

PDF, 277 KB

english, 1979

16

On the Radial Derivative of the Delta Distribution

Brackx, Fred, Sommen, Frank, Vindas, Jasson

Journal:

Complex Analysis and Operator Theory

Year:

2017

Language:

english

File:

PDF, 544 KB

english, 2017

17

Thermodynamic assessment of the rhodium-ruthenium-oxygen (Rh-Ru-O) system

Gossé, S., Bordier, S., Guéneau, C., Brackx, E., Domenger, R., Rogez, J.

Journal:

Journal of Nuclear Materials

Year:

2017

Language:

english

File:

PDF, 3.41 MB

english, 2017

18

Contribution to the thermodynamic description of the corium – The U-Zr-O system

Quaini, A., Guéneau, C., Gossé, S., Dupin, N., Sundman, B., Brackx, E., Domenger, R., Kurata, M., Hodaj, F.

Journal:

Journal of Nuclear Materials

Year:

2018

Language:

english

File:

PDF, 9.07 MB

english, 2018

19

Clifford–Bessel wavelets in Euclidean space

Fred F. Brackx, Frank C. Sommen

Journal:

Mathematical Methods in the Applied Sciences

Year:

2002

Language:

english

File:

PDF, 115 KB

english, 2002

20

On conjugate harmonic functions in Euclidean space

F. F. Brackx, R. Delanghe, F. C. Sommen

Journal:

Mathematical Methods in the Applied Sciences

Year:

2002

Language:

english

File:

PDF, 100 KB

english, 2002

21

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

Fred Brackx, Bram De Knock, Hennie De Schepper

Journal:

Mathematical Methods in the Applied Sciences

Year:

2007

Language:

english

File:

PDF, 197 KB

english, 2007

22

The generalized clifford-hermite continuous wavelet transform

F. Brackx, F. Sommen

Journal:

Advances in Applied Clifford Algebras

Year:

2001

Language:

english

File:

PDF, 2.09 MB

english, 2001

23

The Hermitian Clifford Analysis Toolbox

Fred Brackx, Hennie De Schepper, Frank Sommen

Journal:

Advances in Applied Clifford Algebras

Year:

2008

Language:

english

File:

PDF, 397 KB

english, 2008

24

The Hermitean Hilbert–Dirac Connection

F. Brackx, B. De Knock, H. De Schepper

Journal:

Advances in Applied Clifford Algebras

Year:

2009

Language:

english

File:

PDF, 283 KB

english, 2009

25

The Polynomial Null Solutions of a Higher Spin Dirac Operator in Two Vector Variables

F. Brackx, D. Eelbode, L. Van de Voorde

Journal:

Advances in Applied Clifford Algebras

Year:

2011

Language:

english

File:

PDF, 314 KB

english, 2011

26

Application of active and passive neutron non destructive assay methods to concrete radioactive waste drums

F. Jallu, C. Passard, E. Brackx

Journal:

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

Year:

2011

Language:

english

File:

PDF, 805 KB

english, 2011

27

A Hilbert Transform for Matrix Functions on Fractal Domains

R. Abreu-Blaya, J. Bory-Reyes, F. Brackx, H. De Schepper, F. Sommen

Journal:

Complex Analysis and Operator Theory

Year:

2012

Language:

english

File:

PDF, 243 KB

english, 2012

28

On Fundamental Solutions in Clifford Analysis

F. Brackx, H. De Schepper, M. E. Luna-Elizarrarás, M. Shapiro

Journal:

Complex Analysis and Operator Theory

Year:

2012

Language:

english

File:

PDF, 228 KB

english, 2012

29

Effect of clayey groundwater on the dissolution rate of the simulated nuclear waste glass SON68

P. Jollivet, P. Frugier, G. Parisot, J.P. Mestre, E. Brackx, S. Gin, S. Schumacher

Journal:

Journal of Nuclear Materials

Year:

2012

Language:

english

File:

PDF, 996 KB

english, 2012

30

Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis

Ricardo Abreu-Blaya, Juan Bory-Reyes, Fred Brackx, Hennie De Schepper, Frank Sommen

Journal:

Acta Mathematica Sinica, English Series (Springer)

Year:

2012

Language:

english

File:

PDF, 254 KB

english, 2012

31

Clifford Algebras and their Applications in Mathematical Physics || Regularity of Functions with Values in Clifford Algebra Based on a Generalized Axially Symmetric Potential Theory Operator

Brackx, F., Delanghe, R., Serras, H.

Year:

1993

Language:

english

File:

PDF, 592 KB

english, 1993

32

A Goursat Decomposition for Polyharmonic Functions in Euclidean Space

Fred Brackx, Richard Delanghe, Hennie De Schepper…

Journal:

Advances in Applied Clifford Algebras

Year:

2012

Language:

english

File:

PDF, 285 KB

english, 2012

33

On Primitives and Conjugate Harmonic Pairs in Hermitian Clifford Analysis

F. Brackx, H. De Schepper, R. Lávička, V. Souček

Journal:

Complex Analysis and Operator Theory

Year:

2013

Language:

english

File:

PDF, 397 KB

english, 2013

34

Embedding Factors for Branching in Hermitian Clifford Analysis

Brackx, F., De Schepper, H., Lávička, R., Souček, V.

Journal:

Complex Analysis and Operator Theory

Year:

2015

Language:

english

File:

PDF, 318 KB

english, 2015

35

Clifford Analysis and Its Applications || Quaternionic Analysis in ℝ3 Versus Its Hyperbolic Modification

Brackx, F., Chisholm, J. S. R., Souček, V.

Year:

2001

Language:

english

File:

PDF, 2.37 MB

english, 2001

36

Boundary Value Problems on Fractal Hypersurfaces for the Quaternionic Hermitian System in\(\mathbb {R}^{4n}\)

Abreu-Blaya, Ricardo, Bory-Reyes, Juan, Brackx, Fred, De Schepper, Hennie, Moreno-García, Tania, Sommen, Frank

Journal:

Complex Analysis and Operator Theory

Year:

2015

Language:

english

File:

PDF, 288 KB

english, 2015

37

Fundaments of Quaternionic Clifford Analysis I: Quaternionic Structure

Brackx, F., Schepper, H. De, Eelbode, D., Lávička, R., Souček, V.

Journal:

Advances in Applied Clifford Algebras

Year:

2014

Language:

english

File:

PDF, 431 KB

english, 2014

38

[IEEE 2014 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2014) - Chicago, IL, USA (2014.9.14-2014.9.18)] 2014 IEEE/RSJ International Conference on Intelligent Robots and Systems - Design of a novel intermittent self-closing mechanism for a MACCEPA-based Series-Parallel Elastic Actuator (SPEA)

Mathijssen, Glenn, Furnemont, Raphael, Brackx, Branko, Van Ham, Ronald, Lefeber, Dirk, Vanderborght, Bram

Year:

2014

Language:

english

File:

PDF, 712 KB

english, 2014

39

Two hartogs theorems for nullsolutions of overdetermined systems in euclidean space

Brackx, F., Pincket, W.

Journal:

Complex Variables and Elliptic Equations

Year:

1985

Language:

english

File:

PDF, 1.19 MB

english, 1985

40

Representation of Distributions by Harmonic and Monogenic Potentials in Euclidean Space

Brackx, F., De Bie, H., De Schepper, H.

Journal:

Advances in Applied Clifford Algebras

Year:

2015

Language:

english

File:

PDF, 374 KB

english, 2015

41

Clifford Algebras and their Applications in Mathematical Physics || Jordan Form in Clifford Algebra

Brackx, F., Delanghe, R., Serras, H.

Year:

1993

Language:

english

File:

PDF, 635 KB

english, 1993

42

Gel'fand–Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis

F. Brackx, H. De Schepper, R. Lávička, V. Souček

Journal:

Mathematical Methods in the Applied Sciences

Year:

2011

Language:

english

File:

PDF, 399 KB

english, 2011

43

Convolution kernels in Clifford analysis: old and new

Fred Brackx, Hennie De Schepper

Journal:

Mathematical Methods in the Applied Sciences

Year:

2005

Language:

english

File:

PDF, 107 KB

english, 2005

44

On the interplay between the Hilbert transform and conjugate harmonic functions

Fred Brackx, Bram De Knock, Hennie De Schepper, David Eelbode

Journal:

Mathematical Methods in the Applied Sciences

Year:

2006

Language:

english

File:

PDF, 148 KB

english, 2006

45

Runge's theorem in hypercomplex function theory

R Delanghe, F Brackx

Journal:

Journal of Approximation Theory

Year:

1980

Language:

english

File:

PDF, 748 KB

english, 1980

46

Use of a pulsed column contactor as a continuous oxalate precipitation reactor

Gilles Borda, Emmanuelle Brackx, Laurence Boisset, Jean Duhamet, Denis Ode

Journal:

Nuclear Engineering and Design

Year:

2011

Language:

english

File:

PDF, 822 KB

english, 2011

47

Two-index Clifford–Hermite polynomials with applications in wavelet analysis

F. Brackx, H. De Schepper, N. De Schepper, F. Sommen

Journal:

Journal of Mathematical Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 174 KB

english, 2008

48

A matrix Hilbert transform in Hermitean Clifford analysis

F. Brackx, B. De Knock, H. De Schepper

Journal:

Journal of Mathematical Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 206 KB

english, 2008

49

The Clifford–Fourier integral kernel in even dimensional Euclidean space

Fred Brackx, Nele De Schepper, Frank Sommen

Journal:

Journal of Mathematical Analysis and Applications

Year:

2010

Language:

english

File:

PDF, 209 KB

english, 2010

50

A Hermitian Cauchy formula on a domain with fractal boundary

R. Abreu-Blaya, J. Bory-Reyes, F. Brackx, H. De Schepper, F. Sommen

Journal:

Journal of Mathematical Analysis and Applications

Year:

2010

Language:

english

File:

PDF, 214 KB

english, 2010

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