Computational approach of initial value problems in clifford analysis using associated spaces

David Armendáriz; Johan Ceballos; Antonio Di Teodoro

Computational approach of initial value problems in clifford analysis using associated spaces

David Armendáriz, Johan Ceballos, Antonio Di Teodoro

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In the present chapter we continue the previous one related with the initial value problem in Clifford analysis using the method of associated spaces over a Banach space; but in this chapter we present the advantage of using a matrix representation for the basis of a Clifford algebra, when you have a high order algebra in particular in R_0,3. We present the result of the product rule for the derivatives of two Clifford valued function and the calculations in R_0,3, finally we present the calculation of the conditions over the coefficients in order to construct the associated space.

Original language	English
Title of host publication	Understanding Banach Spaces
Publisher	Nova Science Publishers, Inc.
Pages	231-244
Number of pages	14
ISBN (Electronic)	9781536167467
ISBN (Print)	9781536167450
State	Published - 1 Jan 2019

Keywords

Associated space
Clifford algebras
Initial value problems
Matrix representations
Monogenic functions

Cite this

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AB - In the present chapter we continue the previous one related with the initial value problem in Clifford analysis using the method of associated spaces over a Banach space; but in this chapter we present the advantage of using a matrix representation for the basis of a Clifford algebra, when you have a high order algebra in particular in R0,3. We present the result of the product rule for the derivatives of two Clifford valued function and the calculations in R0,3, finally we present the calculation of the conditions over the coefficients in order to construct the associated space.

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KW - Clifford algebras

KW - Initial value problems

KW - Matrix representations

KW - Monogenic functions

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ER -

Computational approach of initial value problems in clifford analysis using associated spaces

Abstract

Keywords

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