Results 31 to 40 of about 565,770 (275)
Generalized multidimensional Hilbert transforms in Clifford analysis
International Journal of Mathematics and Mathematical Sciences, 2006 Two specific generalizations of the multidimensional Hilbert transform in Clifford analysis are constructed. It is shown that though in each of these generalizations some traditional properties of the Hilbert transform are inevitably lost, new bounded ...
Fred Brackx +2 more
doaj +1 more source
Idempotents of Clifford Algebras
, 2003 A classification of idempotents in Clifford algebras C(p,q) is presented. It is shown that using isomorphisms between Clifford algebras C(p,q) and appropriate matrix rings, it is possible to classify idempotents in any Clifford algebra into continuous ...
Ablamowicz, R. +3 more
core +1 more source
Stabilizer states and Clifford operations for systems of arbitrary dimensions, and modular arithmetic [PDF]
, 2004 We describe generalizations of the Pauli group, the Clifford group and stabilizer states for qudits in a Hilbert space of arbitrary dimension d. We examine a link with modular arithmetic, which yields an efficient way of representing the Pauli group and ...
Bart De Moor +5 more
core +1 more source
k-deformed Poincare algebras and quantum Clifford-Hopf algebras
, 2010 The Minkowski spacetime quantum Clifford algebra structure associated with the conformal group and the Clifford-Hopf alternative k-deformed quantum Poincare algebra is investigated in the Atiyah-Bott-Shapiro mod 8 theorem context.
ALEX E. BERNARDINI +9 more
core +1 more source
The cylindrical Fourier transform [PDF]
, 2010 In this paper we devise a so-called cylindrical Fourier transform within the Clifford analysis context. The idea is the following: for a fixed vector in the image space the level surfaces of the traditional Fourier kernel are planes perpendicular to that
A. Erdélyi +5 more
core +2 more sources
Introductory Clifford Analysis [PDF]
, 2014 In this chapter an introduction is given to Clifford analysis and the underlying Clifford algebras. The functions under consideration are defined on Euclidean space and take values in the universal real or complex Clifford algebra, the structure and properties of which are also recalled in detail.
De Schepper, Hennie, Sommen, Franciscus
openaire +2 more sources
Resuscitation Plus, 2023 Aim: To conduct a qualitative systematic review on the experiences of patients, families, and healthcare professionals (HCPs) of CPR decision-making conversations in the United Kingdom (UK).
Michelle Hartanto +4 more
doaj +1 more source
Generalized non-associative structures on the 7-sphere
, 2011 In this paper we provide a more general class of non-associative products using the exterior and Clifford bundles on the 7-sphere. Some additional properties encompass previous formalisms in the Clifford algebra context, and wider classes of non ...
da Rocha, Roldao, Traesel, M. A.
core +1 more source
Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space
International Journal of Mathematics and Mathematical Sciences, 2004 A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions.
Fred Brackx +2 more
doaj +1 more source
Characterising Clifford parallelisms among Clifford-like parallelisms [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2020 AbstractWe recall the notions of Clifford and Clifford-like parallelisms in a 3-dimensional projective double space. In a previous paper the authors proved that the linear part of the full automorphism group of a Clifford parallelism is the same for all Clifford-like parallelisms which can be associated to it.
Havlicek, Hans +2 more
openaire +5 more sources