Yıl 2018, Cilt 47, Sayı 5, Sayfalar 1206 - 1215 2018-10-16
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## Existence and regularization of the local times of a Gaussian process

#### Herry Pribawanto Suryawan [1]

##### 9 11

We study an existence result in the mean square sense of the local times of a one-dimensional Gaussian process defined by an indefinite Wiener integral. For any spatial dimension, we prove that the local times of a Gaussian process, after appropriatelly renormalized, exist as White noise distributions. We also present a regularization of the local times and show a convergence result in Hida distributions space.
Local times, b-Gaussian process, white noise analysis.
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Birincil Dil en Matematik Matematik Yazar: Herry Pribawanto Suryawan (Sorumlu Yazar)Kurum: DEPARTMENT OF MATHEMATICS, SANATA DHARMA UNIVERSITYÜlke: Indonesia
 Bibtex @araştırma makalesi { hujms471135, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {1206 - 1215}, doi = {}, title = {Existence and regularization of the local times of a Gaussian process}, key = {cite}, author = {Suryawan, Herry Pribawanto} } APA Suryawan, H . (2018). Existence and regularization of the local times of a Gaussian process. Hacettepe Journal of Mathematics and Statistics, 47 (5), 1206-1215. Retrieved from http://dergipark.gov.tr/hujms/issue/39860/471135 MLA Suryawan, H . "Existence and regularization of the local times of a Gaussian process". Hacettepe Journal of Mathematics and Statistics 47 (2018): 1206-1215 Chicago Suryawan, H . "Existence and regularization of the local times of a Gaussian process". Hacettepe Journal of Mathematics and Statistics 47 (2018): 1206-1215 RIS TY - JOUR T1 - Existence and regularization of the local times of a Gaussian process AU - Herry Pribawanto Suryawan Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1206 EP - 1215 VL - 47 IS - 5 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2017 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Existence and regularization of the local times of a Gaussian process %A Herry Pribawanto Suryawan %T Existence and regularization of the local times of a Gaussian process %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 5 %R %U ISNAD Suryawan, Herry Pribawanto . "Existence and regularization of the local times of a Gaussian process". Hacettepe Journal of Mathematics and Statistics 47 / 5 (Ekim 2018): 1206-1215.