Session: S2. Clifford algebras, Clifford analysis and their applications
Abstract: We plan to have a special session on Clifford algebras, Clifford analysis and their applications. It aims to present the latest advances in the field of Clifford (geometric) algebras and their applications in mathematics, physics, engineering and other applied sciences. The proposed session intends to gather experts working on various actually important aspects of Clifford algebras and to explore new connections between different research areas. We expect a fruitful exchange of new ideas and collaboration regarding the research development of this discipline among the participants.
Preliminary session program (as of 18 June 2016):
|New Aspects on Moisil-Teodorescu System||Georgiev||Approved||In this talk is considered the Moisil-Teodorescu system. It is investigated for existence of classical solutions. It is proposed new integral representation of the classical solutions. As an appli . . . Read More|
|Uncertainty Principles For The Clifford-Fourier transform||Jday||Approved||Many works are devoted to generalize the classical Fourier transform. In 2005, Sommen and Brackx introduce a generalization of the classical Fourier transform in the setting of Clifford analysis c . . . Read More|
|Computational aspects of quaternionic polynomials||Falcão||Approved||The processes of evaluating and factoring real or complex polynomials are very important problems and had received a lot of attention over the years. In the ring of quaternionic polynomials new proble . . . Read More|
|Recurrence relations for hypercomplex orthogonal polynomials||Cacao||Approved||The theory of orthogonal polynomials of one real or complex variable and its generalization to higher dimensions is well established. Hypercomplex function theory (or Clifford analysis) provides an al . . . Read More|
|Quaternionic polynomials with multiple zeros: a numerical point of view||Miranda||Approved||There are a lot of rootfinding algorithms especially designed for real or complex polynomials. Most of these methods however face difficulties in dealing with multiple roots or clusters of roots.
The . . . Read More
|Zeros and singularities of slice regular functions over alternative *-algebras||Stoppato||Approved||The theory of slice regular functions over real alternative ∗-algebras has been introduced in [Ghiloni, Perotti, 2011] as a higher-dimensional generalization of the theories of: holomorphic complex fu . . . Read More|
|Constructing multivariate polynomials in function theories over non-commutative algebras||Malonek||Approved||The theory of polynomials in one or several variables is, in general, divided into three main parts, namely algebra, analysis, and geometry of polynomials. However, the division lines between these ar . . . Read More|
|Towards a quaternionic function theory linked with the Zernike spherical polynomials||Morais||Approved||It is truly uncommon that a paper that has been set aside for almost eighty years finds its way back to scientific spotlight. Yet this is exactly what the 1934 paper by F. Zernike’s Nobel prize has ac . . . Read More|
Double Conformal Space Time Algebra
|Easter, Hitzer||Approved||First author: Robert Benjamin Easter.
We introduce the double conformal version of space-time algebra based multivector modeling of quartic and general quadric surfaces, Darboux cyclides, Dupin cycli . . . Read More
Total Abstracts: 9
Source: Email from J. Morais (joao.morais_AT_itam.mx), 16 June 2016, ICNPAA World congress AIM, Special Session on Clifford algebras, Clifford analysis and their applications, 5-8 July 2016, La Rochelle, France, http://www.internationalmathematics.com/icnpaa/schedule/