Kaneko, Hiroshi; Matusmoto, Hisaaki A convergence of hunt processes on the ring of \(p\)-adic integers and its application to a random fractal. (English) Zbl 1303.31008 Tohoku Math. J. (2) 66, No. 3, 455-469 (2014). MSC: 31C25 60J99 PDFBibTeX XMLCite \textit{H. Kaneko} and \textit{H. Matusmoto}, Tôhoku Math. J. (2) 66, No. 3, 455--469 (2014; Zbl 1303.31008) Full Text: DOI Euclid
Kaneko, Hiroshi Besov space and trace theorem on a local field and its application. (English) Zbl 1294.46033 Math. Nachr. 285, No. 8-9, 981-996 (2012). MSC: 46E35 28A99 31C25 PDFBibTeX XMLCite \textit{H. Kaneko}, Math. Nachr. 285, No. 8--9, 981--996 (2012; Zbl 1294.46033) Full Text: DOI
Kaneko, Hiroshi; Tsuzuki, Yoichi A lift of spatially inhomogeneous Markov process to extensions of the field of \(p\)-adic numbers. (English) Zbl 1229.11151 Stochastic Processes Appl. 121, No. 2, 394-405 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11S80 60J25 60J75 PDFBibTeX XMLCite \textit{H. Kaneko} and \textit{Y. Tsuzuki}, Stochastic Processes Appl. 121, No. 2, 394--405 (2011; Zbl 1229.11151) Full Text: DOI
Kaneko, H. Fractal theoretic aspects of local field. (English) Zbl 1187.28013 \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 1, 51-57 (2009). MSC: 28A80 11S82 60G18 PDFBibTeX XMLCite \textit{H. Kaneko}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 1, 51--57 (2009; Zbl 1187.28013) Full Text: DOI
Kaneko, Hiroshi; Kochubei, Anatoly N. Weak solutions of stochastic differential equations over the field of \(p\)-adic numbers. (English) Zbl 1136.60039 Tohoku Math. J. (2) 59, No. 4, 547-564 (2007). MSC: 60H10 11S80 60G52 PDFBibTeX XMLCite \textit{H. Kaneko} and \textit{A. N. Kochubei}, Tôhoku Math. J. (2) 59, No. 4, 547--564 (2007; Zbl 1136.60039) Full Text: DOI arXiv
Kaneko, Hiroshi; Zhao, Xuelei Transition semi-groups on a local field induced by Galois group and their representation. (English) Zbl 1152.60337 J. Theor. Probab. 19, No. 1, 221-234 (2006). MSC: 60J25 11S85 PDFBibTeX XMLCite \textit{H. Kaneko} and \textit{X. Zhao}, J. Theor. Probab. 19, No. 1, 221--234 (2006; Zbl 1152.60337) Full Text: DOI
Kaneko, Hiroshi \((r, p)\)-capacity and Hausdorff measure on a local field. (English) Zbl 1114.60007 Indag. Math., New Ser. 17, No. 2, 251-270 (2006). Reviewer: Peter Mörters (Bath) MSC: 60B99 28A78 PDFBibTeX XMLCite \textit{H. Kaneko}, Indag. Math., New Ser. 17, No. 2, 251--270 (2006; Zbl 1114.60007) Full Text: DOI
Kaneko, Hiroshi Sobolev space and Dirichlet space associated with symmetric Markov process on a local field. (English) Zbl 1089.31005 Potential Anal. 24, No. 1, 87-103 (2006). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 31C45 46E35 60J25 PDFBibTeX XMLCite \textit{H. Kaneko}, Potential Anal. 24, No. 1, 87--103 (2006; Zbl 1089.31005) Full Text: DOI
Kaneko, Hiroshi Time-inhomogeneous stochastic processes on the \(p\)-adic number field. (English) Zbl 1036.60053 Tohoku Math. J., II. Ser. 55, No. 1, 65-87 (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60H10 11D88 31C25 60G44 PDFBibTeX XMLCite \textit{H. Kaneko}, Tôhoku Math. J. (2) 55, No. 1, 65--87 (2003; Zbl 1036.60053) Full Text: DOI
Kaneko, Hiroshi A class of spatially inhomogeneous Dirichlet spaces on the \(p\)-adic number field. (English) Zbl 1047.60077 Stochastic Processes Appl. 88, No. 1, 161-174 (2000). MSC: 60J60 31C05 31C25 60J75 11S99 PDFBibTeX XMLCite \textit{H. Kaneko}, Stochastic Processes Appl. 88, No. 1, 161--174 (2000; Zbl 1047.60077) Full Text: DOI