Geodesic
Derivative of the Donsker delta functionals
Mathematica Bohemica, Tome 144 (2019) no. 2, pp. 161-176.

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We prove that derivatives of any finite order of Donsker's delta functionals are well-defined elements in the space of Hida distributions. We also show the convergence to the derivative of Donsker's delta functionals of two different approximations. Finally, we present an existence result of finite product and infinite series of the derivative of the Donsker delta functionals.
DOI : 10.21136/MB.2018.0078-17
Classification : 28C20, 46F25, 60G20, 60H40
Keywords: Donsker delta functional; white noise analysis; distributional derivative 
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Suryawan, Herry Pribawanto. Derivative of the Donsker delta functionals. Mathematica Bohemica, Tome 144 (2019) no. 2, pp. 161-176. doi : 10.21136/MB.2018.0078-17. http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0078-17/

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