Sánchez, Duván Cardona; Kumar, Vishvesh; Ruzhansky, Michael; Tokmagambetov, Niyaz Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary. (English) Zbl 07777061 Adv. Oper. Theory 8, No. 3, Paper No. 50, 47 p. (2023). MSC: 58J40 58J32 22E30 PDFBibTeX XMLCite \textit{D. C. Sánchez} et al., Adv. Oper. Theory 8, No. 3, Paper No. 50, 47 p. (2023; Zbl 07777061) Full Text: DOI arXiv
Kumar, Vishvesh; Mondal, Shyam Swarup Symbolic calculus and \(M\)-ellipticity of pseudo-differential operators on \(\mathbb{Z}^n\). (English) Zbl 1526.35347 Anal. Appl., Singap. 21, No. 6, 1447-1475 (2023). MSC: 35S05 35A17 47G30 43A85 43A77 PDFBibTeX XMLCite \textit{V. Kumar} and \textit{S. S. Mondal}, Anal. Appl., Singap. 21, No. 6, 1447--1475 (2023; Zbl 1526.35347) Full Text: DOI arXiv
Bastianoni, Federico; Cordero, Elena Quasi-Banach modulation spaces and localization operators on locally compact abelian groups. (English) Zbl 1506.43002 Banach J. Math. Anal. 16, No. 4, Paper No. 52, 71 p. (2022); correction ibid. 17, No. 1, Paper No. 1, 1 p. (2023). MSC: 43A25 42B35 46E30 PDFBibTeX XMLCite \textit{F. Bastianoni} and \textit{E. Cordero}, Banach J. Math. Anal. 16, No. 4, Paper No. 52, 71 p. (2022; Zbl 1506.43002) Full Text: DOI arXiv
Dasgupta, Aparajita; Kumar, Vishvesh Ellipticity and Fredholmness of pseudo-differential operators on \(\ell^2(\mathbb{Z}^n)\). (English) Zbl 1491.35472 Proc. Am. Math. Soc. 150, No. 7, 2849-2860 (2022). MSC: 35S05 47G30 43A85 43A77 PDFBibTeX XMLCite \textit{A. Dasgupta} and \textit{V. Kumar}, Proc. Am. Math. Soc. 150, No. 7, 2849--2860 (2022; Zbl 1491.35472) Full Text: DOI arXiv
Botchway, Linda N. A.; Gaël Kibiti, P.; Ruzhansky, Michael Difference equations and pseudo-differential operators on \(\mathbb{Z}^n\). (English) Zbl 1434.58011 J. Funct. Anal. 278, No. 11, Article ID 108473, 41 p. (2020). MSC: 58J40 35S05 35S30 42B05 47G30 PDFBibTeX XMLCite \textit{L. N. A. Botchway} et al., J. Funct. Anal. 278, No. 11, Article ID 108473, 41 p. (2020; Zbl 1434.58011) Full Text: DOI arXiv
Delgado, Julio; Ruzhansky, Michael \(L^p\)-bounds for pseudo-differential operators on compact Lie groups. (English) Zbl 1419.35263 J. Inst. Math. Jussieu 18, No. 3, 531-559 (2019). Reviewer: Luigi Rodino (Torino) MSC: 35S05 35R03 22E30 47G30 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{M. Ruzhansky}, J. Inst. Math. Jussieu 18, No. 3, 531--559 (2019; Zbl 1419.35263) Full Text: DOI arXiv
Cardona, Duván Besov continuity for pseudo-differential operators on compact homogeneous manifolds. (English) Zbl 1428.58022 J. Pseudo-Differ. Oper. Appl. 9, No. 4, 861-880 (2018). MSC: 58J40 19K56 43A65 58J20 PDFBibTeX XMLCite \textit{D. Cardona}, J. Pseudo-Differ. Oper. Appl. 9, No. 4, 861--880 (2018; Zbl 1428.58022) Full Text: DOI arXiv
Cardona, Duván Besov continuity of pseudo-differential operators on compact Lie groups revisited. (Continuité de Besov des opérateurs pseudo-différentiels sur les groupes de Lie compacts revisitée.) (English. Abridged French version) Zbl 1376.43002 C. R., Math., Acad. Sci. Paris 355, No. 5, 533-537 (2017). Reviewer: Lubomira Softova (Salerno) MSC: 43A22 43A75 43A15 22A30 35S05 58J40 PDFBibTeX XMLCite \textit{D. Cardona}, C. R., Math., Acad. Sci. Paris 355, No. 5, 533--537 (2017; Zbl 1376.43002) Full Text: DOI
Ruzhansky, Michael; Wirth, Jens \(L^p\) Fourier multipliers on compact Lie groups. (English) Zbl 1331.43002 Math. Z. 280, No. 3-4, 621-642 (2015). Reviewer: Jin Liang (Shanghai) MSC: 43A22 43A77 43A15 22E30 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{J. Wirth}, Math. Z. 280, No. 3--4, 621--642 (2015; Zbl 1331.43002) Full Text: DOI arXiv
Garetto, Claudia; Ruzhansky, Michael Wave equation for sums of squares on compact Lie groups. (English) Zbl 1328.35261 J. Differ. Equations 258, No. 12, 4324-4347 (2015). Reviewer: Isolda E. Cardoso (Rosario) MSC: 35R03 35G10 35L30 22E30 PDFBibTeX XMLCite \textit{C. Garetto} and \textit{M. Ruzhansky}, J. Differ. Equations 258, No. 12, 4324--4347 (2015; Zbl 1328.35261) Full Text: DOI arXiv
Kanguzhin, Baltabek; Tokmagambetov, Niyaz; Tulenov, Kanat Pseudo-differential operators generated by a non-local boundary value problem. (English) Zbl 1312.47058 Complex Var. Elliptic Equ. 60, No. 1, 107-117 (2015). Reviewer: Ahmed Lesfari (El Jadida) MSC: 47G30 58J40 35S05 35S30 42B05 PDFBibTeX XMLCite \textit{B. Kanguzhin} et al., Complex Var. Elliptic Equ. 60, No. 1, 107--117 (2015; Zbl 1312.47058) Full Text: DOI
Ruzhansky, Michael; Turunen, Ville; Wirth, Jens Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity. (English) Zbl 1432.35270 J. Fourier Anal. Appl. 20, No. 3, 476-499 (2014). MSC: 35S05 22E30 35H10 35R03 PDFBibTeX XMLCite \textit{M. Ruzhansky} et al., J. Fourier Anal. Appl. 20, No. 3, 476--499 (2014; Zbl 1432.35270) Full Text: DOI arXiv
Ruzhansky, Michael; Wirth, Jens Global functional calculus for operators on compact Lie groups. (English) Zbl 1295.35388 J. Funct. Anal. 267, No. 1, 144-172 (2014). MSC: 35S05 22E30 47G30 PDFBibTeX XMLCite \textit{M. Ruzhansky} and \textit{J. Wirth}, J. Funct. Anal. 267, No. 1, 144--172 (2014; Zbl 1295.35388) Full Text: DOI arXiv
Parmeggiani, Alberto On the problem of positivity of pseudodifferential systems. (English) Zbl 1273.35333 Cicognani, Massimo (ed.) et al., Studies in phase space analysis with applications to PDEs. In part selected papers based on the presentations at a meeting, Bertinoro, Italy, September 2011. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-6347-4/hbk; 978-1-4614-6348-1/ebook). Progress in Nonlinear Differential Equations and Their Applications 84, 313-335 (2013). MSC: 35S05 35B45 PDFBibTeX XMLCite \textit{A. Parmeggiani}, Prog. Nonlinear Differ. Equ. Appl. 84, 313--335 (2013; Zbl 1273.35333) Full Text: DOI
Fischer, Véronique; Ruzhansky, Michael Lower bounds for operators on graded Lie groups. (English. Abridged French version) Zbl 1260.22008 C. R., Math., Acad. Sci. Paris 351, No. 1-2, 13-18 (2013). MSC: 22E30 PDFBibTeX XMLCite \textit{V. Fischer} and \textit{M. Ruzhansky}, C. R., Math., Acad. Sci. Paris 351, No. 1--2, 13--18 (2013; Zbl 1260.22008) Full Text: DOI arXiv Link