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On integral representations of operator fractional Brownian fields
Affiliation:1. Department of Statistics, Sungkyunkwan University, 25-2, Sungkyunkwan-ro, Jongno-gu, Seoul, 110-745, Republic of Korea;2. Mathematics Department, Tulane University, 6823 St. Charles Avenue, New Orleans, LA 70118, USA;3. Department of Statistics and Operations Research, UNC at Chapel Hill, CB#3260, Hanes Hall, Chapel Hill, NC 27599, USA;1. Loughborough University, Department of Mathematical Sciences, Loughborough, Leicestershire, LE11 3TU, UK;2. University of Strathclyde, Department of Mathematics and Statistics, Glasgow, G1 1XH, UK;3. School of Economics and Management, Fuzhou University, China;1. Department of Mathematics and Statistics, University of Windsor, Windsor, ON, Canada;2. Department of Mathematics, Brock University, St. Catharines, ON, Canada;1. School of Mathematics and Statistics, Hua Zhong University of Science and Technology, Wuhan, Hubei 430000, PR China;2. School of Mathematics and Statistics, South-Central University For Nationalities, Wuhan, Hubei 430000, PR China
Abstract:
Keywords:Operator fractional Brownian fields  Operator scaling  Operator self-similarity  Harmonizable representations  Moving average representations  Anisotropy
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