Krainer, Thomas; Mendoza, Gerardo A. Elliptic complexes of first-order cone operators: ideal boundary conditions. (English) Zbl 1414.58015 Math. Nachr. 291, No. 11-12, 1815-1850 (2018). Reviewer: Sérgio Luís Zani (São Carlos) MSC: 58J10 35F15 35J56 58J32 PDFBibTeX XMLCite \textit{T. Krainer} and \textit{G. A. Mendoza}, Math. Nachr. 291, No. 11--12, 1815--1850 (2018; Zbl 1414.58015) Full Text: DOI arXiv
Krainer, Thomas; Mendoza, Gerardo A. The Friedrichs extension for elliptic wedge operators of second order. (English) Zbl 1380.58021 Adv. Differ. Equ. 23, No. 3-4, 295-328 (2018). MSC: 58J32 58J05 35J47 35J57 PDFBibTeX XMLCite \textit{T. Krainer} and \textit{G. A. Mendoza}, Adv. Differ. Equ. 23, No. 3--4, 295--328 (2018; Zbl 1380.58021) Full Text: arXiv Euclid
Krainer, Thomas; Mendoza, Gerardo A. Boundary value problems for first order elliptic wedge operators. (English) Zbl 1346.58009 Am. J. Math. 138, No. 3, 585-656 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 58J32 58J05 35J46 35J56 PDFBibTeX XMLCite \textit{T. Krainer} and \textit{G. A. Mendoza}, Am. J. Math. 138, No. 3, 585--656 (2016; Zbl 1346.58009) Full Text: DOI arXiv Link
Mendoza, Gerardo A. Spectrally unstable domains. (English) Zbl 1370.47024 Ill. J. Math. 59, No. 4, 979-997 (2015). MSC: 47B25 47A10 47F05 58J05 35P05 PDFBibTeX XMLCite \textit{G. A. Mendoza}, Ill. J. Math. 59, No. 4, 979--997 (2015; Zbl 1370.47024) Full Text: arXiv Euclid
Krainer, Thomas; Mendoza, Gerardo A. Elliptic systems of variable order. (English) Zbl 1317.58028 Rev. Mat. Iberoam. 31, No. 1, 127-160 (2015). Reviewer: Sönke Hansen (Paderborn) MSC: 58J40 58J05 58J20 35G05 PDFBibTeX XMLCite \textit{T. Krainer} and \textit{G. A. Mendoza}, Rev. Mat. Iberoam. 31, No. 1, 127--160 (2015; Zbl 1317.58028) Full Text: DOI arXiv
Mendoza, Gerardo A. Hypoellipticity and vanishing theorems. (English) Zbl 1305.32022 Bull. Inst. Math., Acad. Sin. (N.S.) 8, No. 2, 231-258 (2013). Reviewer: Jesus Muciño-Raymundo (Morelia) MSC: 32V05 58J05 PDFBibTeX XMLCite \textit{G. A. Mendoza}, Bull. Inst. Math., Acad. Sin. (N.S.) 8, No. 2, 231--258 (2013; Zbl 1305.32022) Full Text: arXiv
Krainer, Thomas; Mendoza, Gerardo A. The kernel bundle of a holomorphic Fredholm family. (English) Zbl 1286.32009 Commun. Partial Differ. Equations 38, No. 12, 2107-2125 (2013). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 32L99 47A56 58J32 58J05 35J48 35J58 PDFBibTeX XMLCite \textit{T. Krainer} and \textit{G. A. Mendoza}, Commun. Partial Differ. Equations 38, No. 12, 2107--2125 (2013; Zbl 1286.32009) Full Text: DOI arXiv Link
Gil, Juan B.; Krainer, Thomas; Mendoza, Gerardo A. On the closure of elliptic wedge operators. (English) Zbl 1423.58018 J. Geom. Anal. 23, No. 4, 2035-2062 (2013). MSC: 58J50 35P05 58J32 58J05 PDFBibTeX XMLCite \textit{J. B. Gil} et al., J. Geom. Anal. 23, No. 4, 2035--2062 (2013; Zbl 1423.58018) Full Text: DOI arXiv
Mendoza, Gerardo A. Topological implications of global hypoellipticity. (English) Zbl 1264.58014 Grieser, Daniel (ed.) et al., Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14–18, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0465-3/pbk; 978-3-0348-0466-0/ebook). Trends in Mathematics, 125-127 (2013). MSC: 58J10 35H10 35B65 35F05 57R22 PDFBibTeX XMLCite \textit{G. A. Mendoza}, in: Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14--18, 2011. Basel: Birkhäuser. 125--127 (2013; Zbl 1264.58014) Full Text: DOI
Krainer, Thomas; Gil, Juan B.; Mendoza, Gerardo A. Trace expansions for elliptic cone operators. (English) Zbl 1264.58015 Grieser, Daniel (ed.) et al., Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14–18, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0465-3/pbk; 978-3-0348-0466-0/ebook). Trends in Mathematics, 63-67 (2013). MSC: 58J35 35P05 47A10 PDFBibTeX XMLCite \textit{T. Krainer} et al., in: Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14--18, 2011. Basel: Birkhäuser. 63--67 (2013; Zbl 1264.58015) Full Text: DOI
Gil, Juan B.; Krainer, Thomas; Mendoza, Gerardo A. On the closure of elliptic wedge operators. (English) Zbl 1264.58022 Grieser, Daniel (ed.) et al., Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14–18, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0465-3/pbk; 978-3-0348-0466-0/ebook). Trends in Mathematics, 55-58 (2013). MSC: 58J50 35P05 58J32 58J05 PDFBibTeX XMLCite \textit{J. B. Gil} et al., in: Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14--18, 2011. Basel: Birkhäuser. 55--58 (2013; Zbl 1264.58022) Full Text: DOI arXiv
Bergamasco, A. P.; Mendoza, G. A.; Zani, S. On global hypoellipticity. (English) Zbl 1387.58037 Commun. Partial Differ. Equations 37, No. 9, 1517-1527 (2012). MSC: 58J99 35H10 35B65 35F05 57R22 PDFBibTeX XMLCite \textit{A. P. Bergamasco} et al., Commun. Partial Differ. Equations 37, No. 9, 1517--1527 (2012; Zbl 1387.58037) Full Text: DOI
Mendoza, Gerardo A. Zeta functions of elliptic cone operators. (English) Zbl 1273.58019 Demuth, Michael (ed.) et al., Partial differential equations and spectral theory. Basel: Birkhäuser (ISBN 978-3-0348-0023-5/hbk; 978-3-0348-0024-2/ebook). Operator Theory: Advances and Applications 211. Advances in Partial Differential Equations, 291-320 (2011). Reviewer: Laurent Guillopé (Nantes) MSC: 58J50 35J57 35J70 58J05 58J32 58J35 58J40 PDFBibTeX XMLCite \textit{G. A. Mendoza}, Oper. Theory: Adv. Appl. 211, 291--320 (2011; Zbl 1273.58019) Full Text: DOI
Mendoza, Gerardo A. A Gysin sequence for manifolds with \(\mathbb{R}\)-action. (English) Zbl 1234.57032 Barkatou, Y. (ed.) et al., Geometric analysis of several complex variables and related topics. Proceedings of the workshop, Marrakesh, Morocco, May 10–14, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5257-6/pbk). Contemporary Mathematics 550, 139-154 (2011). Reviewer: Alice Kimie Miwa Libardi (Sao Paulo) MSC: 57R19 58J10 55R20 58A12 PDFBibTeX XMLCite \textit{G. A. Mendoza}, Contemp. Math. 550, 139--154 (2011; Zbl 1234.57032)
Gil, Juan B.; Krainer, Thomas; Mendoza, Gerardo A. Dynamics on Grassmannians and resolvents of cone operators. (English) Zbl 1228.58015 Anal. PDE 4, No. 1, 115-148 (2011). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J35 37C70 35P05 47A10 PDFBibTeX XMLCite \textit{J. B. Gil} et al., Anal. PDE 4, No. 1, 115--148 (2011; Zbl 1228.58015) Full Text: DOI arXiv Link
Gil, Juan B.; Krainer, Thomas; Mendoza, Gerardo A. Trace expansions for elliptic cone operators with stationary domains. (English) Zbl 1210.58021 Trans. Am. Math. Soc. 362, No. 12, 6495-6522 (2010). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J35 35P05 47A10 58J37 PDFBibTeX XMLCite \textit{J. B. Gil} et al., Trans. Am. Math. Soc. 362, No. 12, 6495--6522 (2010; Zbl 1210.58021) Full Text: DOI arXiv
Mendoza, Gerardo A. Characteristic classes of the boundary of a complex \(b\)-manifold. (English) Zbl 1208.32027 Ebenfelt, Peter (ed.) et al., Complex analysis. Several complex variables and connections with PDE theory and geometry. Proceedings of the conference in honour of Linda Rothschild, Fribourg, Switzerland, July 7–11, 2008. Basel: Birkhäuser (ISBN 978-3-0346-0008-8/hbk). Trends in Mathematics, 245-262 (2010). Reviewer: Eugen Pascu (Montréal) MSC: 32Q99 58J10 32V05 PDFBibTeX XMLCite \textit{G. A. Mendoza}, in: Complex analysis. Several complex variables and connections with PDE theory and geometry. Proceedings of the conference in honour of Linda Rothschild, Fribourg, Switzerland, July 7--11, 2008. Basel: Birkhäuser. 245--262 (2010; Zbl 1208.32027)
Gil, Juan B.; Krainer, Thomas; Mendoza, Gerardo A. On rays of minimal growth for elliptic cone operators. (English) Zbl 1126.58015 Toft, Joachim (ed.) et al., Modern trends in pseudo-differential operators. Basel: Birkhäuser (ISBN 978-3-7643-8097-7/hbk; 978-3-7643-8116-5/e-book). Operator Theory: Advances and Applications 172, 33-50 (2007). Reviewer: Agostino Prástaro (Roma) MSC: 58J50 35J70 47A10 PDFBibTeX XMLCite \textit{J. B. Gil} et al., Oper. Theory: Adv. Appl. 172, 33--50 (2007; Zbl 1126.58015) Full Text: DOI arXiv
Gil, Juan B.; Krainer, Thomas; Mendoza, Gerardo A. Geometry and spectra of closed extensions of elliptic cone operators. (English) Zbl 1126.58014 Can. J. Math. 59, No. 4, 742-794 (2007). Reviewer: Agostino Prástaro (Roma) MSC: 58J50 35J70 14M15 PDFBibTeX XMLCite \textit{J. B. Gil} et al., Can. J. Math. 59, No. 4, 742--794 (2007; Zbl 1126.58014) Full Text: DOI arXiv
Gil, Juan B.; Krainer, Thomas; Mendoza, Gerardo A. Resolvents of elliptic cone operators. (English) Zbl 1109.58023 J. Funct. Anal. 241, No. 1, 1-55 (2006). Reviewer: Agostino Prástaro (Roma) MSC: 58J05 58J40 58J32 PDFBibTeX XMLCite \textit{J. B. Gil} et al., J. Funct. Anal. 241, No. 1, 1--55 (2006; Zbl 1109.58023) Full Text: DOI arXiv
Mendoza, Gerardo A. Strictly pseudoconvex \(b\)-CR manifolds. (English) Zbl 1065.35213 Commun. Partial Differ. Equations 29, No. 9-10, 1437-1503 (2004). Reviewer: Mauro Nacinovich (Roma) MSC: 35N99 47G30 32V05 58J10 PDFBibTeX XMLCite \textit{G. A. Mendoza}, Commun. Partial Differ. Equations 29, No. 9--10, 1437--1503 (2004; Zbl 1065.35213) Full Text: DOI
Jacobowitz, Howard; Mendoza, Gerardo Sub-bundles of the complexified tangent bundle. (English) Zbl 1031.58012 Trans. Am. Math. Soc. 355, No. 10, 4201-4222 (2003). Reviewer: E.Outerelo (Madrid) MSC: 58J10 57R22 35F05 35N10 PDFBibTeX XMLCite \textit{H. Jacobowitz} and \textit{G. Mendoza}, Trans. Am. Math. Soc. 355, No. 10, 4201--4222 (2003; Zbl 1031.58012) Full Text: DOI
Gil, Juan B.; Mendoza, Gerardo A. Adjoints of elliptic cone operators. (English) Zbl 1030.58012 Am. J. Math. 125, No. 2, 357-408 (2003). Reviewer: Wieslaw Oledzki (Bialystok) MSC: 58J05 35J30 PDFBibTeX XMLCite \textit{J. B. Gil} and \textit{G. A. Mendoza}, Am. J. Math. 125, No. 2, 357--408 (2003; Zbl 1030.58012) Full Text: DOI arXiv
Jacobowitz, H.; Mendoza, G. A. Elliptic equivalence of vector bundles. (English) Zbl 1041.58011 Indiana Univ. Math. J. 51, No. 3, 705-725 (2002). Reviewer: Leszek Skrzypczak (Poznań) MSC: 58J05 58J40 PDFBibTeX XMLCite \textit{H. Jacobowitz} and \textit{G. A. Mendoza}, Indiana Univ. Math. J. 51, No. 3, 705--725 (2002; Zbl 1041.58011) Full Text: DOI
Mendoza, Gerardo A. Vector bundles, ellipticity and index theorem. (Spanish) Zbl 1017.58015 Bol. Asoc. Mat. Venez. 8, No. 2, 81-109 (2001). Reviewer: Jesus A.Álvarez López (Santiago de Compostela) MSC: 58J20 58J40 PDFBibTeX XMLCite \textit{G. A. Mendoza}, Bol. Asoc. Mat. Venez. 8, No. 2, 81--109 (2001; Zbl 1017.58015) Full Text: EuDML EMIS
Gil, Juan B.; Loya, Paul A.; Mendoza, Gerardo A. A note on the index of cone differential operators. arXiv:math/0110172 Preprint, arXiv:math/0110172 [math.AP] (2001). MSC: 58J20 35J70 58J35 BibTeX Cite \textit{J. B. Gil} et al., ``A note on the index of cone differential operators'', Preprint, arXiv:math/0110172 [math.AP] (2001) Full Text: arXiv
Berhanu, S.; Mendoza, G. A. Orbits and global unique continuation for systems of vector fields. (English) Zbl 0917.58004 J. Geom. Anal. 7, No. 2, 173-194 (1997). Reviewer: N.Papaghiuc (Iaşi) MSC: 58A30 32V99 35N10 58J99 PDFBibTeX XMLCite \textit{S. Berhanu} and \textit{G. A. Mendoza}, J. Geom. Anal. 7, No. 2, 173--194 (1997; Zbl 0917.58004) Full Text: DOI
Mendoza, Gerardo A.; Treves, François On solvability of systems of vector fields. (English) Zbl 0812.35089 Schulze, Bert-Wolfgang (ed.) et al., Symposium “Analysis on manifolds with singularities”, Breitenbrunn 1990. Contributions from the international workshop, held in Breitenbrunn, Germany, April 30-May 5, 1990. Stuttgart: Teubner. Teubner-Texte Math. 131, 138-143 (1992). Reviewer: E.Outerelo (Madrid) MSC: 35N10 35A07 58J10 PDFBibTeX XMLCite \textit{G. A. Mendoza} and \textit{F. Treves}, Teubner-Texte Math. 131, 138--143 (1992; Zbl 0812.35089)
Epstein, C. L.; Melrose, R. B.; Mendoza, G. A. Resolvent of the Laplacian on strictly pseudoconvex domains. (English) Zbl 0758.32010 Acta Math. 167, No. 1-2, 1-106 (1991). Reviewer: J.Ruidival dos Santos Filho (Recife) MSC: 32W05 32T99 58J32 58J40 PDFBibTeX XMLCite \textit{C. L. Epstein} et al., Acta Math. 167, No. 1--2, 1--106 (1991; Zbl 0758.32010) Full Text: DOI
Mendoza, Gerardo Fourier integral operators. (Operadores integrales de Fourier). (Spanish) Zbl 0602.42009 VII Escuela Latinoamericana de Matemáticas, Caracas 1984. Caracas: Universidad Simon Bolivar. Fondo Editorial Acta Científica. 171 p. (1984). MSC: 42A38 41-01 35S05 35J99 65H10 47Gxx 58J40 46F10 PDFBibTeX XML
Mendoza, G. A.; Uhlmann, G. A. A sufficient condition for local solvability for a class of operators with double characteristics. (English) Zbl 0567.58027 Am. J. Math. 106, 187-217 (1984). Reviewer: P.Kučment MSC: 58J40 35S99 35A07 PDFBibTeX XMLCite \textit{G. A. Mendoza} and \textit{G. A. Uhlmann}, Am. J. Math. 106, 187--217 (1984; Zbl 0567.58027) Full Text: DOI
Mendoza, G. A.; Uhlmann, G. A. A necessary condition for local solvability for a class of operators with double characteristics. (English) Zbl 0516.58041 J. Funct. Anal. 52, 252-256 (1983). MSC: 58J40 35L25 PDFBibTeX XMLCite \textit{G. A. Mendoza} and \textit{G. A. Uhlmann}, J. Funct. Anal. 52, 252--256 (1983; Zbl 0516.58041) Full Text: DOI
Mendoza, Gerardo Symbol calculus associated with intersecting Lagrangians. (English) Zbl 0499.35098 Commun. Partial Differ. Equations 7, 1035-1116 (1982). MSC: 35S05 58J47 58J40 PDFBibTeX XMLCite \textit{G. Mendoza}, Commun. Partial Differ. Equations 7, 1035--1116 (1982; Zbl 0499.35098) Full Text: DOI
Melrose, Richard B.; Mendoza, Gerardo A. Elliptic boundary problems on spaces with conic points. (English) Zbl 0481.35004 Journ. Équ. Dériv. Partielles, Saint-Jean-de-Monts 1981, Exp. No. 4, 21 p. (1981). MSC: 35A20 35C20 58J32 35R05 PDFBibTeX XML Full Text: Numdam EuDML