Fractional Smoothness of Distributions of Trigonometric Polynomials on a Space with a Gaussian Measure
In this paper we study properties of images of a gaussian measure under trigonometric polynomials of a fixed degree, defined on finite-dimensional space with fixed number of dimensions. We prove that the images of the n-dimensional Gaussian measure under trigonometric polynomials have densities from...
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| Format: | Article |
| Language: | English |
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Irkutsk State University
2020-03-01
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| Series: | Известия Иркутского государственного университета: Серия "Математика" |
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| Online Access: | http://mathizv.isu.ru/en/article/file?id=1332 |