scholarly journals Clifford Algebra-Valued Segal–Bargmann Transform and Taylor Isomorphism

2021 ◽  
Vol 31 (5) ◽  
Author(s):  
Sorawit Eaknipitsari ◽  
Wicharn Lewkeeratiyutkul
Keyword(s):  
Clifford Algebra ◽  
Bargmann Transform

Series expansions for monogenic functions in Clifford algebras and their application

2020 ◽  
Vol 17 (3) ◽  
pp. 365-371
Author(s):  
Anatoliy Pogorui ◽  
Tamila Kolomiiets
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Vector Space ◽  
Clifford Algebra ◽  
Clifford Algebras ◽  
Monogenic Function ◽  
Second Order ◽  
Series Expansions ◽  
Monogenic Functions ◽  
Partial Differential

This paper deals with studying some properties of a monogenic function defined on a vector space with values in the Clifford algebra generated by the space. We provide some expansions of a monogenic function and consider its application to study solutions of second-order partial differential equations.

scholarly journals Two-State Quantum Systems Revisited: A Clifford Algebra Approach

2021 ◽  
Vol 31 (2) ◽  
Author(s):  
Pedro Amao ◽  
Hernan Castillo
Keyword(s):  
Clifford Algebra ◽  
Quantum Systems ◽  
Algebra Approach

A Generalised Quaternion and Clifford Algebra Based Mathematical Methodology to Effect Multi-stage Reassembling Transformations in Parallel Robots

2021 ◽  
Vol 31 (3) ◽  
Author(s):  
Sudharsan Thiruvengadam ◽  
Jei Shian Tan ◽  
Karol Miller
Keyword(s):  
Clifford Algebra ◽  
Parallel Robots ◽  
Multi Stage

scholarly journals The Segal–Bargmann Transform on a Symmetric Space of Compact Type

1999 ◽  
Vol 165 (1) ◽  
pp. 44-58 ◽  
Author(s):  
Matthew B. Stenzel
Keyword(s):  
Symmetric Space ◽  
Compact Type ◽  
Bargmann Transform

scholarly journals Segal–Bargmann transform and Paley–Wiener theorems on Heisenberg motion groups

2015 ◽  
Vol 0 (0) ◽  
Author(s):  
Suparna Sen
Keyword(s):  
Bargmann Transform ◽  
Motion Groups

AbstractWe consider the Heisenberg motion groups ℍ𝕄 = ℍ

scholarly journals REPRESENTATIONS OF ALTERNATIVE CLIFFORD ALGEBRAS OF QUADRATIC FORMS

2014 ◽  
Vol 57 (3) ◽  
pp. 579-590 ◽  
Author(s):  
STACY MARIE MUSGRAVE
Keyword(s):  
Quadratic Form ◽  
Clifford Algebra ◽  
Algebraic Structure ◽  
Quadratic Forms ◽  
Clifford Algebras ◽  
Future Research ◽  
Octonion Algebras

AbstractThis work defines a new algebraic structure, to be called an alternative Clifford algebra associated to a given quadratic form. I explored its representations, particularly concentrating on connections to the well-understood octonion algebras. I finished by suggesting directions for future research.

scholarly journals On k-regular functions with values in a universal Clifford algebra

2006 ◽  
Vol 315 (2) ◽  
pp. 491-505 ◽  
Author(s):  
Zhongxiang Zhang
Keyword(s):  
Clifford Algebra ◽  
Regular Functions

Applications of the Clifford algebra valued boundary element method to electromagnetic scattering problems

2016 ◽  
Vol 71 ◽  
pp. 140-150 ◽  
Author(s):  
Jia-Wei Lee ◽  
Li-Wei Liu ◽  
Hong-Ki Hong ◽  
Jeng-Tzong Chen
Keyword(s):  
Boundary Element Method ◽  
Clifford Algebra ◽  
Boundary Element ◽  
Electromagnetic Scattering ◽  
Scattering Problems ◽  
Element Method

scholarly journals Advanced Color Edge Detection Using Clifford Algebra in Satellite Images

2021 ◽  
Vol 13 (2) ◽  
pp. 1-20
Author(s):  
Uzair Aslam Bhatti ◽  
Zhou Ming-Quan ◽  
Qingsong Huo ◽  
Sajid Ali ◽  
Aamir Hussain ◽  
...  
Keyword(s):  
Edge Detection ◽  
Clifford Algebra ◽  
Satellite Images
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