Toward infinite‐dimensional Clifford analysis
نویسندگان
چکیده
Clifford analysis is a higher dimensional function theory and refinement of harmonic analysis. We will extend to the infinite-dimensional setting. To do that, we have introduce algebras Dirac operator. The paper's main result Wiener chaos decomposition in apply white noise Brownian motion.
منابع مشابه
3 Introductory Clifford Analysis
We want in this chapter to regard Clifford algebras as natural generalizations of the complex number system. First let us note that if z is a complex number then zz = ‖z‖. Now for a quaternion q we also have qq = ‖q‖. In this way quaternions may be regarded as a generalization of the complex number system. It seems natural to ask if one can extend basic results of one complex variable analysis ...
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ژورنال
عنوان ژورنال: Mathematical Methods in The Applied Sciences
سال: 2022
ISSN: ['1099-1476', '0170-4214']
DOI: https://doi.org/10.1002/mma.8291