Ben-Artzi, Matania; Ruzhansky, Michael; Sugimoto, Mitsuru Spectral identities and smoothing estimates for evolution operators. (English) Zbl 1465.35074 Adv. Differ. Equ. 25, No. 11-12, 627-650 (2020). MSC: 35B45 35B51 35G10 35J10 35S30 47A10 47D06 PDFBibTeX XMLCite \textit{M. Ben-Artzi} et al., Adv. Differ. Equ. 25, No. 11--12, 627--650 (2020; Zbl 1465.35074) Full Text: arXiv Euclid
Ruzhansky, Michael; Sugimoto, Mitsuru A local-to-global boundedness argument and Fourier integral operators. (English) Zbl 1486.47084 J. Math. Anal. Appl. 473, No. 2, 892-904 (2019). MSC: 47G10 35S30 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{M. Sugimoto}, J. Math. Anal. Appl. 473, No. 2, 892--904 (2019; Zbl 1486.47084) Full Text: DOI arXiv Link
Ruzhansky, Michael; Sugimoto, Mitsuru Global regularity properties for a class of Fourier integral operators. arXiv:1510.03807 Preprint, arXiv:1510.03807 [math.AP] (2015). MSC: 35S30 35B65 35L40 BibTeX Cite \textit{M. Ruzhansky} and \textit{M. Sugimoto}, ``Global regularity properties for a class of Fourier integral operators'', Preprint, arXiv:1510.03807 [math.AP] (2015) Full Text: arXiv OA License
Ruzhansky, Michael; Sugimoto, Mitsuru Smoothing properties of evolution equations via canonical transforms and comparison principle. (English) Zbl 1253.47026 Proc. Lond. Math. Soc. (3) 105, No. 2, 393-423 (2012). Reviewer: Zhenbin Fan (Jiangsu) MSC: 47D06 47J35 35L03 35S30 35L30 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{M. Sugimoto}, Proc. Lond. Math. Soc. (3) 105, No. 2, 393--423 (2012; Zbl 1253.47026) Full Text: DOI arXiv Link
Ruzhansky, Michael; Sugimoto, Mitsuru; Toft, Joachim; Tomita, Naohito Changes of variables in modulation and Wiener amalgam spaces. (English) Zbl 1228.35279 Math. Nachr. 284, No. 16, 2078-2092 (2011). Reviewer: Lubomira Softova (Aversa) MSC: 35S30 47G30 42B05 PDFBibTeX XMLCite \textit{M. Ruzhansky} et al., Math. Nachr. 284, No. 16, 2078--2092 (2011; Zbl 1228.35279) Full Text: DOI arXiv
Ruzhansky, Michael; Sugimoto, Mitsuru Weighted Sobolev \(L^{2}\) estimates for a class of Fourier integral operators. (English) Zbl 1234.35334 Math. Nachr. 284, No. 13, 1715-1738 (2011). MSC: 35S30 47G30 35J10 35G10 35B65 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{M. Sugimoto}, Math. Nachr. 284, No. 13, 1715--1738 (2011; Zbl 1234.35334) Full Text: DOI arXiv
Sugimoto, Mitsuru; Tomita, Naohito; Wang, Baoxiang Remarks on nonlinear operations on modulation spaces. (English) Zbl 1221.44007 Integral Transforms Spec. Funct. 22, No. 4-5, 351-358 (2011). Reviewer: Valery Vladimirovich Volchkov (Donetsk) MSC: 44A15 42B35 42B37 35S50 PDFBibTeX XMLCite \textit{M. Sugimoto} et al., Integral Transforms Spec. Funct. 22, No. 4--5, 351--358 (2011; Zbl 1221.44007) Full Text: DOI
Ruzhansky, Michael; Sugimoto, Mitsuru On the smoothing properties of dispersive partial differential equations. (English) Zbl 1198.35046 RIMS Kôkyûroku Bessatsu B14, 103-123 (2009). MSC: 35B65 35B45 35-02 35S30 35B51 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{M. Sugimoto}, RIMS Kôkyûroku Bessatsu B14, 103--123 (2009; Zbl 1198.35046)
Ruzhansky, Michael; Sugimoto, Mitsuru A smoothing property of Schrödinger equations in the critical case. (English) Zbl 1109.35096 Math. Ann. 335, No. 3, 645-673 (2006). MSC: 35Q40 35S30 35L10 35L25 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{M. Sugimoto}, Math. Ann. 335, No. 3, 645--673 (2006; Zbl 1109.35096) Full Text: DOI arXiv
Ruzhansky, Michael; Sugimoto, Mitsuru Global boundedness theorems for Fourier integral operators associated with canonical transformations. (English) Zbl 1104.35084 Miyachi, Akihiko (ed.) et al., Harmonic analysis and its applications. Proceedings of the international conference on harmonic analysis and its applications, Osaka, Japan, November 15–17, 2004. Yokohama: Yokohama Publishers (ISBN 4-946552-20-0/pbk). 65-75 (2006). Reviewer: Petar Popivanov (Sofia) MSC: 35S30 35B65 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{M. Sugimoto}, in: Harmonic analysis and its applications. Proceedings of the international conference on harmonic analysis and its applications, Osaka, Japan, November 15--17, 2004. Yokohama: Yokohama Publishers. 65--75 (2006; Zbl 1104.35084)
Ruzhansky, Michael; Sugimoto, Mitsuru Global \(L^{2}\)-boundedness theorems for a class of Fourier integral operators. (English) Zbl 1106.35158 Commun. Partial Differ. Equations 31, No. 4-6, 547-569 (2006). Reviewer: Petar Popivanov (Sofia) MSC: 35S30 35B35 35Q55 35B65 47G30 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{M. Sugimoto}, Commun. Partial Differ. Equations 31, No. 4--6, 547--569 (2006; Zbl 1106.35158) Full Text: DOI arXiv
Ruzhansky, Michael; Sugimoto, Mitsuru Global calculus of Fourier integral operators, weighted estimates, and applications to global analysis of hyperbolic equations. (English) Zbl 1112.35026 Boggiatto, Paolo (ed.) et al., Pseudo-differential operators and related topics. Papers based on lectures given at the international conference, Växjö University, Sweden, June 22 to June 25, 2005. Basel: Birkhäuser (ISBN 3-7643-7513-2/hbk). Operator Theory: Advances and Applications 164, 65-78 (2006). Reviewer: Otto Liess (Bologna) MSC: 35B40 35B65 35S30 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{M. Sugimoto}, Oper. Theory: Adv. Appl. 164, 65--78 (2006; Zbl 1112.35026)
Ruzhansky, Michael; Sugimoto, Mitsuru Smoothing estimates for evolution equations via canonical transforms and comparison. arXiv:math/0612274 Preprint, arXiv:math/0612274 [math.AP] (2006). MSC: 35S30 35Q40 35B65 35J10 47G30 BibTeX Cite \textit{M. Ruzhansky} and \textit{M. Sugimoto}, ``Smoothing estimates for evolution equations via canonical transforms and comparison'', Preprint, arXiv:math/0612274 [math.AP] (2006) Full Text: arXiv
Ruzhansky, Michael; Sugimoto, Mitsuru Global smoothing estimates for dispersive equations with non-polynomial symbols. (English) Zbl 1136.35330 Kazama, Hideaki (ed.) et al., Proceedings of the 12th international conference on finite or infinite dimensional complex analysis and applications, ICFIDCAA, Tokyo, Japan, July 27– 31, 2004. Fukuoka: Kyushu University Press (ISBN 4-87378-899-4/pbk). 283-290 (2005). MSC: 35B45 35S30 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{M. Sugimoto}, in: Proceedings of the 12th international conference on finite or infinite dimensional complex analysis and applications, ICFIDCAA, Tokyo, Japan, July 27-- 31, 2004. Fukuoka: Kyushu University Press. 283--290 (2005; Zbl 1136.35330)
Sugimoto, Mitsuru; Ruzhansky, Michael A smoothing property of Schrödinger equations and a global existence result for derivative nonlinear equations. (English) Zbl 1094.35119 Begehr, H. G. W. (ed.) et al., Advances in analysis. Proceedings of the 4th international ISAAC congress, Toronto, Canada, August 11–16, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-398-9/hbk). 315-320 (2005). MSC: 35Q55 35B65 PDFBibTeX XMLCite \textit{M. Sugimoto} and \textit{M. Ruzhansky}, in: Advances in analysis. Proceedings of the 4th international ISAAC congress, Toronto, Canada, August 11--16, 2003. Hackensack, NJ: World Scientific. 315--320 (2005; Zbl 1094.35119)
Ruzhansky, Michael; Sugimoto, Mitsuru A new proof of global smoothing estimates for dispersive equations. (English) Zbl 1064.35154 Ashino, Ryuichi (ed.) et al., Advances in pseudo-differential operators. Proceedings of the 4th congress of the International Society for Analysis, its Applications and Computation (ISAAC), Toronto, Canada, August 11–16, 2003. Basel: Birkhäuser (ISBN 3-7643-7140-4/hbk). Operator Theory: Advances and Applications 155, 65-75 (2004). MSC: 35Q40 35B65 35S30 81Q05 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{M. Sugimoto}, Oper. Theory: Adv. Appl. 155, 65--75 (2004; Zbl 1064.35154) Full Text: arXiv
Ruzhanskiĭ, M. V.; Sugimoto, M. Global estimates in \(L^ 2\) for a class of Fourier integral operators with symbols in Besov spaces. (English. Russian original) Zbl 1070.35138 Russ. Math. Surv. 58, No. 5, 1044-1046 (2003); translation from Usp. Mat. Nauk 58, No. 5, 201-202 (2003). MSC: 35S30 47G10 47G30 PDFBibTeX XMLCite \textit{M. V. Ruzhanskiĭ} and \textit{M. Sugimoto}, Russ. Math. Surv. 58, No. 5, 1044--1046 (2003; Zbl 1070.35138); translation from Usp. Mat. Nauk 58, No. 5, 201--202 (2003) Full Text: DOI