Kottke, Chris; Singer, Michael Partial compactification of monopoles and metric asymptotics. (English) Zbl 07607170 Memoirs of the American Mathematical Society 1383. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5541-5/pbk; 978-1-4704-7283-2/ebook). vii, 110 p. (2022). MSC: 53-02 53C07 58J99 81T13 PDF BibTeX XML Cite \textit{C. Kottke} and \textit{M. Singer}, Partial compactification of monopoles and metric asymptotics. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 07607170) Full Text: DOI arXiv OpenURL
Fernando, José F.; Ghiloni, Riccardo Smooth approximations in PL geometry. (English) Zbl 07574029 Am. J. Math. 144, No. 4, 967-1007 (2022). MSC: 68-XX 92-XX PDF BibTeX XML Cite \textit{J. F. Fernando} and \textit{R. Ghiloni}, Am. J. Math. 144, No. 4, 967--1007 (2022; Zbl 07574029) Full Text: DOI arXiv OpenURL
Albin, Pierre; Rochon, Frédéric; Sher, David A Cheeger-Müller theorem for manifolds with wedge singularities. (English) Zbl 1496.58005 Anal. PDE 15, No. 3, 567-642 (2022). Reviewer: Shu-Yu Hsu (Chiayi) MSC: 58J05 58J35 58J52 55N25 PDF BibTeX XML Cite \textit{P. Albin} et al., Anal. PDE 15, No. 3, 567--642 (2022; Zbl 1496.58005) Full Text: DOI arXiv OpenURL
Grieser, Daniel; Talebi, Mohammad; Vertman, Boris Spectral geometry on manifolds with fibered boundary metrics. I: Low energy resolvent. (Géométrie spectrale sur les variétés avec métrique fibrée au bord. I: Résolvante à basse énergie.) (English. French summary) Zbl 1496.58009 J. Éc. Polytech., Math. 9, 959-1019 (2022). Reviewer: Themistocles M. Rassias (Athína) MSC: 58J40 58C40 35J70 PDF BibTeX XML Cite \textit{D. Grieser} et al., J. Éc. Polytech., Math. 9, 959--1019 (2022; Zbl 1496.58009) Full Text: DOI arXiv OpenURL
Ammann, Bernd; Mougel, Jérémy; Nistor, Victor A comparison of the Georgescu and Vasy spaces associated to the \(N\)-body problems and applications. (English) Zbl 07511007 Ann. Henri Poincaré 23, No. 4, 1141-1203 (2022). MSC: 81Qxx 58Jxx 46Lxx PDF BibTeX XML Cite \textit{B. Ammann} et al., Ann. Henri Poincaré 23, No. 4, 1141--1203 (2022; Zbl 07511007) Full Text: DOI arXiv OpenURL
Talebi, Mohammad; Vertman, Boris Spectral geometry on manifolds with fibred boundary metrics. II: Heat kernel asymptotics. (English) Zbl 1493.58016 Anal. Math. Phys. 12, No. 2, Paper No. 62, 31 p. (2022). Reviewer: Wen Lu (Wuhan) MSC: 58J50 58J52 58J20 58J28 PDF BibTeX XML Cite \textit{M. Talebi} and \textit{B. Vertman}, Anal. Math. Phys. 12, No. 2, Paper No. 62, 31 p. (2022; Zbl 1493.58016) Full Text: DOI arXiv OpenURL
Chen, Xi The semiclassical resolvent on conic manifolds and application to Schrödinger equations. (English) Zbl 1487.58025 Commun. Math. Phys. 390, No. 2, 757-826 (2022). Reviewer: Luigi Rodino (Torino) MSC: 58J40 35S05 PDF BibTeX XML Cite \textit{X. Chen}, Commun. Math. Phys. 390, No. 2, 757--826 (2022; Zbl 1487.58025) Full Text: DOI arXiv OpenURL
Kottke, Chris; Rochon, Frédéric Low energy limit for the resolvent of some fibered boundary operators. (English) Zbl 1489.58010 Commun. Math. Phys. 390, No. 1, 231-307 (2022). Reviewer: M. Abdessadek Saib (Tebessa) MSC: 58J40 46E35 47A53 PDF BibTeX XML Cite \textit{C. Kottke} and \textit{F. Rochon}, Commun. Math. Phys. 390, No. 1, 231--307 (2022; Zbl 1489.58010) Full Text: DOI arXiv OpenURL
Guillarmou, Colin; Knieper, Gerhard; Lefeuvre, Thibault Geodesic stretch, pressure metric and marked length spectrum rigidity. (English) Zbl 1493.37036 Ergodic Theory Dyn. Syst. 42, No. 3, 974-1022 (2022). Reviewer: Sebastian Hensel (München) MSC: 37D40 37D20 37D35 37A50 32G15 30F60 PDF BibTeX XML Cite \textit{C. Guillarmou} et al., Ergodic Theory Dyn. Syst. 42, No. 3, 974--1022 (2022; Zbl 1493.37036) Full Text: DOI arXiv OpenURL
Albin, Pierre; Rochon, Frédéric; Sher, David Resolvent, heat kernel, and torsion under degeneration to fibered cusps. (English) Zbl 1476.58001 Memoirs of the American Mathematical Society 1314. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4422-8/pbk; 978-1-4704-6466-0/ebook). v, 126 p. (2021). Reviewer: Sérgio Luís Zani (São Carlos) MSC: 58-02 58J05 58J35 58J50 58J52 55N25 55N33 PDF BibTeX XML Cite \textit{P. Albin} et al., Resolvent, heat kernel, and torsion under degeneration to fibered cusps. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1476.58001) Full Text: DOI arXiv OpenURL
Vertman, Boris Ricci de Turck flow on singular manifolds. (English) Zbl 1476.53118 J. Geom. Anal. 31, No. 4, 3351-3404 (2021). MSC: 53E20 58J35 35K08 PDF BibTeX XML Cite \textit{B. Vertman}, J. Geom. Anal. 31, No. 4, 3351--3404 (2021; Zbl 1476.53118) Full Text: DOI arXiv OpenURL
Kröncke, Klaus; Vertman, Boris Perelman’s entropies for manifolds with conical singularities. (English) Zbl 1461.53068 Trans. Am. Math. Soc. 374, No. 4, 2873-2908 (2021). MSC: 53E20 53C25 58C05 PDF BibTeX XML Cite \textit{K. Kröncke} and \textit{B. Vertman}, Trans. Am. Math. Soc. 374, No. 4, 2873--2908 (2021; Zbl 1461.53068) Full Text: DOI arXiv OpenURL
Coriasco, Sandro; Doll, Moritz Weyl law on asymptotically Euclidean manifolds. (English) Zbl 1457.58018 Ann. Henri Poincaré 22, No. 2, 447-486 (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J50 58J40 35P20 35S30 58J45 47B25 PDF BibTeX XML Cite \textit{S. Coriasco} and \textit{M. Doll}, Ann. Henri Poincaré 22, No. 2, 447--486 (2021; Zbl 1457.58018) Full Text: DOI arXiv OpenURL
Chen, Xi; Hassell, Andrew The heat kernel on asymptotically hyperbolic manifolds. (English) Zbl 1448.35275 Commun. Partial Differ. Equations 45, No. 9, 1031-1071 (2020). MSC: 35K08 35K15 35B45 35R01 PDF BibTeX XML Cite \textit{X. Chen} and \textit{A. Hassell}, Commun. Partial Differ. Equations 45, No. 9, 1031--1071 (2020; Zbl 1448.35275) Full Text: DOI arXiv OpenURL
de Hoop, Maarten; Uhlmann, Gunther; Wang, Yiran Nonlinear interaction of waves in elastodynamics and an inverse problem. (English) Zbl 1441.35262 Math. Ann. 376, No. 1-2, 765-795 (2020). Reviewer: Giovanni S. Alberti (Genova) MSC: 35R30 35Q74 74J20 PDF BibTeX XML Cite \textit{M. de Hoop} et al., Math. Ann. 376, No. 1--2, 765--795 (2020; Zbl 1441.35262) Full Text: DOI arXiv OpenURL
Melrose, Richard; Zhu, Xuwen Boundary behaviour of Weil-Petersson and fibre metrics for Riemann moduli spaces. (English) Zbl 1457.32038 Int. Math. Res. Not. 2019, No. 16, 5012-5065 (2019). MSC: 32G15 58D27 14H10 PDF BibTeX XML Cite \textit{R. Melrose} and \textit{X. Zhu}, Int. Math. Res. Not. 2019, No. 16, 5012--5065 (2019; Zbl 1457.32038) Full Text: DOI arXiv OpenURL
Debord, Claire; Skandalis, Georges Lie groupoids, pseudodifferential calculus, and index theory. (English) Zbl 1442.58006 Chamseddine, Ali (ed.) et al., Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 – April 7, 2017. On the occasion of Alain Connes’ 70th Birthday. Cham: Springer. 245-289 (2019). Reviewer: Watchareepan Atiponrat (Chiang Mai) MSC: 58B34 22A22 PDF BibTeX XML Cite \textit{C. Debord} and \textit{G. Skandalis}, in: Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 -- April 7, 2017. On the occasion of Alain Connes' 70th Birthday. Cham: Springer. 245--289 (2019; Zbl 1442.58006) Full Text: DOI arXiv OpenURL
Piazza, Paolo; Vertman, Boris Eta and rho invariants on manifolds with edges. (Invariants êta and rho sur variétés stratifiée de profondeur 1.) (English. French summary) Zbl 1442.58016 Ann. Inst. Fourier 69, No. 5, 1955-2035 (2019). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J28 58J20 53C27 PDF BibTeX XML Cite \textit{P. Piazza} and \textit{B. Vertman}, Ann. Inst. Fourier 69, No. 5, 1955--2035 (2019; Zbl 1442.58016) Full Text: DOI arXiv OpenURL
Kottke, Chris Functorial compactification of linear spaces. (English) Zbl 1455.54021 Proc. Am. Math. Soc. 147, No. 9, 4067-4081 (2019). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 54D35 54C20 54D30 58A05 PDF BibTeX XML Cite \textit{C. Kottke}, Proc. Am. Math. Soc. 147, No. 9, 4067--4081 (2019; Zbl 1455.54021) Full Text: DOI arXiv OpenURL
Vertman, Boris Cheeger-Müller theorem on manifolds with cusps. (English) Zbl 1428.58025 Math. Z. 291, No. 3-4, 761-819 (2019). Reviewer: Jean Raimbault (Toulouse) MSC: 58J52 PDF BibTeX XML Cite \textit{B. Vertman}, Math. Z. 291, No. 3--4, 761--819 (2019; Zbl 1428.58025) Full Text: DOI arXiv OpenURL
Kröncke, Klaus; Vertman, Boris Stability of Ricci de Turck flow on singular spaces. (English) Zbl 1454.53085 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 74, 40 p. (2019). MSC: 53E20 53C25 58J35 PDF BibTeX XML Cite \textit{K. Kröncke} and \textit{B. Vertman}, Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 74, 40 p. (2019; Zbl 1454.53085) Full Text: DOI arXiv OpenURL
Conlon, Ronan J.; Degeratu, Anda; Rochon, Frédéric Quasi-asymptotically conical Calabi-Yau manifolds. (English) Zbl 1412.53102 Geom. Topol. 23, No. 1, 29-100 (2019). Reviewer: Nicoleta Aldea (Brasov) MSC: 53C55 58J05 PDF BibTeX XML Cite \textit{R. J. Conlon} et al., Geom. Topol. 23, No. 1, 29--100 (2019; Zbl 1412.53102) Full Text: DOI arXiv OpenURL
Guillarmou, Colin; Moroianu, Sergiu; Schlenker, Jean-Marc The renormalized volume and uniformization of conformal structures. (English) Zbl 1395.58005 J. Inst. Math. Jussieu 17, No. 4, 853-912 (2018). MSC: 58B05 53A30 58D17 PDF BibTeX XML Cite \textit{C. Guillarmou} et al., J. Inst. Math. Jussieu 17, No. 4, 853--912 (2018; Zbl 1395.58005) Full Text: DOI arXiv OpenURL
Vertman, Boris Regularized limit of determinants for discrete tori. (English) Zbl 1394.58018 Monatsh. Math. 186, No. 3, 539-557 (2018). MSC: 58J52 35S05 34B24 58J32 PDF BibTeX XML Cite \textit{B. Vertman}, Monatsh. Math. 186, No. 3, 539--557 (2018; Zbl 1394.58018) Full Text: DOI arXiv OpenURL
Taylor, Michael Asymptotics for some non-classical conormal distributions whose symbols contain negative powers of \(\log |\xi |\). (English) Zbl 1401.35366 J. Fourier Anal. Appl. 24, No. 3, 780-829 (2018). Reviewer: Nenad Teofanov (Novi Sad) MSC: 35S05 42A16 42B10 42B20 PDF BibTeX XML Cite \textit{M. Taylor}, J. Fourier Anal. Appl. 24, No. 3, 780--829 (2018; Zbl 1401.35366) Full Text: DOI OpenURL
Grieser, Daniel Scales, blow-up and quasimode constructions. (English) Zbl 1388.35132 Girouard, Alexandre (ed.) et al., Geometric and computational spectral theory. Lectures from the Séminaire de Mathématiques Supérieures, Centre de Recherches Mathématiques, Université de Montréal, Montréal, QC, Canada, June 15–26, 2015. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-2665-1/pbk; 978-1-4704-4258-3/ebook). Contemporary Mathematics 700. Centre de Recherches Mathématiques Proceedings, 207-266 (2017). MSC: 35P05 35-02 35B25 58J37 PDF BibTeX XML Cite \textit{D. Grieser}, Contemp. Math. 700, 207--266 (2017; Zbl 1388.35132) Full Text: DOI arXiv OpenURL
Lescure, Jean-Marie; Vassout, Stéphane Fourier integral operators on Lie groupoids. (English) Zbl 1398.58010 Adv. Math. 320, 391-450 (2017). Reviewer: Paulo Carrillo Rouse (Toulouse) MSC: 58J40 35S30 22A22 58H05 PDF BibTeX XML Cite \textit{J.-M. Lescure} and \textit{S. Vassout}, Adv. Math. 320, 391--450 (2017; Zbl 1398.58010) Full Text: DOI arXiv HAL OpenURL
Ford, G. Austin; Wunsch, Jared The diffractive wave trace on manifolds with conic singularities. (English) Zbl 1378.53050 Adv. Math. 304, 1330-1385 (2017). Reviewer: Adela-Gabriela Mihai (Bucureşti) MSC: 53C21 58J05 47D03 PDF BibTeX XML Cite \textit{G. A. Ford} and \textit{J. Wunsch}, Adv. Math. 304, 1330--1385 (2017; Zbl 1378.53050) Full Text: DOI arXiv OpenURL
Barreto, Antônio Sá; Wang, Yiran The semiclassical resolvent on conformally compact manifolds with variable curvature at infinity. (English) Zbl 1349.35260 Commun. Partial Differ. Equations 41, No. 8, 1230-1302 (2016). MSC: 35P25 58J50 PDF BibTeX XML Cite \textit{A. S. Barreto} and \textit{Y. Wang}, Commun. Partial Differ. Equations 41, No. 8, 1230--1302 (2016; Zbl 1349.35260) Full Text: DOI OpenURL
Albin, Pierre; Gell-Redman, Jesse The index of Dirac operators on incomplete edge spaces. (English) Zbl 1378.58020 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 089, 45 p. (2016). Reviewer: Peter Haskell (Blacksburg) MSC: 58J20 58A35 58J32 PDF BibTeX XML Cite \textit{P. Albin} and \textit{J. Gell-Redman}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 089, 45 p. (2016; Zbl 1378.58020) Full Text: DOI arXiv OpenURL
Joyce, Dominic A generalization of manifolds with corners. (English) Zbl 1359.58001 Adv. Math. 299, 760-862 (2016). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 58A05 57P99 PDF BibTeX XML Cite \textit{D. Joyce}, Adv. Math. 299, 760--862 (2016; Zbl 1359.58001) Full Text: DOI arXiv OpenURL
Debord, Claire; Lescure, Jean-Marie; Rochon, Frédéric Pseudodifferential operators on manifolds with fibred corners. (Opérateurs pseudodifférentiels sur les variétés à coins fibrés.) (English. French summary) Zbl 1377.58025 Ann. Inst. Fourier 65, No. 4, 1799-1880 (2015). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J40 58J05 19K35 PDF BibTeX XML Cite \textit{C. Debord} et al., Ann. Inst. Fourier 65, No. 4, 1799--1880 (2015; Zbl 1377.58025) Full Text: DOI arXiv Link OpenURL
Sher, David A. Conic degeneration and the determinant of the Laplacian. (English) Zbl 1328.58031 J. Anal. Math. 126, 175-226 (2015). Reviewer: Jean Raimbault (Toulouse) MSC: 58J52 PDF BibTeX XML Cite \textit{D. A. Sher}, J. Anal. Math. 126, 175--226 (2015; Zbl 1328.58031) Full Text: DOI arXiv OpenURL
Vertman, Boris Heat-trace asymptotics for edge Laplacians with algebraic boundary conditions. (English) Zbl 1323.58019 J. Anal. Math. 125, 285-318 (2015). Reviewer: Laurent Guillopé (Nantes) MSC: 58J35 34B24 35B65 35K08 35R01 58J37 PDF BibTeX XML Cite \textit{B. Vertman}, J. Anal. Math. 125, 285--318 (2015; Zbl 1323.58019) Full Text: DOI arXiv OpenURL
Kottke, Chris A Callias-type index theorem with degenerate potentials. (English) Zbl 1316.58019 Commun. Partial Differ. Equations 40, No. 2, 219-264 (2015). Reviewer: Yong Wang (Changchun) MSC: 58J20 35J46 PDF BibTeX XML Cite \textit{C. Kottke}, Commun. Partial Differ. Equations 40, No. 2, 219--264 (2015; Zbl 1316.58019) Full Text: DOI arXiv OpenURL
Kottke, Chris; Melrose, Richard B. Generalized blow-up of corners and fiber products. (English) Zbl 1372.57042 Trans. Am. Math. Soc. 367, No. 1, 651-705 (2015). MSC: 57R99 14B05 PDF BibTeX XML Cite \textit{C. Kottke} and \textit{R. B. Melrose}, Trans. Am. Math. Soc. 367, No. 1, 651--705 (2015; Zbl 1372.57042) Full Text: DOI arXiv OpenURL
Guillarmou, Colin; Moroianu, Sergiu; Park, Jinsung Bergman and Calderón projectors for Dirac operators. (English) Zbl 1303.58008 J. Geom. Anal. 24, No. 1, 298-336 (2014). MSC: 58J32 35P25 58J50 53C27 PDF BibTeX XML Cite \textit{C. Guillarmou} et al., J. Geom. Anal. 24, No. 1, 298--336 (2014; Zbl 1303.58008) Full Text: DOI arXiv OpenURL
Müller, Werner; Vertman, Boris The metric anomaly of analytic torsion on manifolds with conical singularities. (English) Zbl 1292.58024 Commun. Partial Differ. Equations 39, No. 1, 146-191 (2014). Reviewer: Jean Raimbault (Bonn) MSC: 58J52 PDF BibTeX XML Cite \textit{W. Müller} and \textit{B. Vertman}, Commun. Partial Differ. Equations 39, No. 1, 146--191 (2014; Zbl 1292.58024) Full Text: DOI arXiv OpenURL
Albin, Pierre; Rochon, Frédéric Some index formulae on the moduli space of stable parabolic vector bundles. (English) Zbl 1318.58011 J. Aust. Math. Soc. 94, No. 1, 1-37 (2013). Reviewer: Bernhelm Booß-Bavnbek (Roskilde) MSC: 58J20 58J28 58J52 14H60 PDF BibTeX XML Cite \textit{P. Albin} and \textit{F. Rochon}, J. Aust. Math. Soc. 94, No. 1, 1--37 (2013; Zbl 1318.58011) Full Text: DOI arXiv OpenURL
Guillarmou, Colin; Hassell, Andrew; Sikora, Adam Resolvent at low energy. III: The spectral measure. (English) Zbl 1303.58010 Trans. Am. Math. Soc. 365, No. 11, 6103-6148 (2013). Reviewer: Mihai Pascu (Bucureşti) MSC: 58J50 35P25 47A40 PDF BibTeX XML Cite \textit{C. Guillarmou} et al., Trans. Am. Math. Soc. 365, No. 11, 6103--6148 (2013; Zbl 1303.58010) Full Text: DOI arXiv OpenURL
Baskin, Dean Strichartz estimates on asymptotically de Sitter spaces. (English) Zbl 1262.83020 Ann. Henri Poincaré 14, No. 2, 221-252 (2013). MSC: 83C30 83C05 83C15 35L05 83C25 PDF BibTeX XML Cite \textit{D. Baskin}, Ann. Henri Poincaré 14, No. 2, 221--252 (2013; Zbl 1262.83020) Full Text: DOI arXiv OpenURL
Rochon, Frédéric; Zhang, Zhou Asymptotics of complete Kähler metrics of finite volume on quasiprojective manifolds. (English) Zbl 1264.53066 Adv. Math. 231, No. 5, 2892-2952 (2012). Reviewer: Włodzimierz Jelonek (Kraków) MSC: 53C55 32Q20 53C44 14C20 PDF BibTeX XML Cite \textit{F. Rochon} and \textit{Z. Zhang}, Adv. Math. 231, No. 5, 2892--2952 (2012; Zbl 1264.53066) Full Text: DOI arXiv OpenURL
Mazzeo, Rafe; Vertman, Boris Analytic torsion on manifolds with edges. (English) Zbl 1255.58012 Adv. Math. 231, No. 2, 1000-1040 (2012). Reviewer: Michael Farber (Zürich) MSC: 58J52 PDF BibTeX XML Cite \textit{R. Mazzeo} and \textit{B. Vertman}, Adv. Math. 231, No. 2, 1000--1040 (2012; Zbl 1255.58012) Full Text: DOI arXiv OpenURL
Toth, John A.; Zelditch, Steve Quantum ergodic restriction theorems. I: Interior hypersurfaces in domains with ergodic billiards. (English) Zbl 1263.37061 Ann. Henri Poincaré 13, No. 4, 599-670 (2012). Reviewer: Yves Colin de Verdière (St. Martin d’Hères) MSC: 37D50 58J51 81Q50 PDF BibTeX XML Cite \textit{J. A. Toth} and \textit{S. Zelditch}, Ann. Henri Poincaré 13, No. 4, 599--670 (2012; Zbl 1263.37061) Full Text: DOI arXiv OpenURL
Biquard, Olivier; Mazzeo, Rafe A nonlinear Poisson transform for Einstein metrics on product spaces. (English) Zbl 1232.53039 J. Eur. Math. Soc. (JEMS) 13, No. 5, 1423-1475 (2011). Reviewer: Zbigniew Olszak (Wrocław) MSC: 53C25 53C35 58D27 PDF BibTeX XML Cite \textit{O. Biquard} and \textit{R. Mazzeo}, J. Eur. Math. Soc. (JEMS) 13, No. 5, 1423--1475 (2011; Zbl 1232.53039) Full Text: DOI arXiv OpenURL
Rochon, Frédéric On the uniqueness of certain families of holomorphic disks. (English) Zbl 1241.53043 Trans. Am. Math. Soc. 363, No. 2, 633-657 (2011). Reviewer: Andrzej Frydryszak (Wrocław) MSC: 53C28 53C56 58D17 53C22 PDF BibTeX XML Cite \textit{F. Rochon}, Trans. Am. Math. Soc. 363, No. 2, 633--657 (2011; Zbl 1241.53043) Full Text: DOI arXiv OpenURL
Alesker, Semyon Valuations on manifolds and integral geometry. (English) Zbl 1213.52013 Geom. Funct. Anal. 20, No. 5, 1073-1143 (2010). Reviewer: Monika Ludwig (Wien) MSC: 52B45 52A39 53C65 44A12 PDF BibTeX XML Cite \textit{S. Alesker}, Geom. Funct. Anal. 20, No. 5, 1073--1143 (2010; Zbl 1213.52013) Full Text: DOI arXiv OpenURL
Baskin, Dean A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces. (English) Zbl 1200.35247 J. Funct. Anal. 259, No. 7, 1673-1719 (2010). Reviewer: Jerzy Gawinecki (Warszawa) MSC: 35Q53 35A08 35A17 35A27 58J45 PDF BibTeX XML Cite \textit{D. Baskin}, J. Funct. Anal. 259, No. 7, 1673--1719 (2010; Zbl 1200.35247) Full Text: DOI arXiv OpenURL
Vasy, András The wave equation on asymptotically de Sitter-like spaces. (English) Zbl 1191.35064 Adv. Math. 223, No. 1, 49-97 (2010). Reviewer: Ömer Kavaklioglu (Izmir) MSC: 35B40 35S30 58J45 35Q75 35Q40 PDF BibTeX XML Cite \textit{A. Vasy}, Adv. Math. 223, No. 1, 49--97 (2010; Zbl 1191.35064) Full Text: DOI arXiv OpenURL
Guillarmou, Colin; Hassell, Andrew Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II. (English) Zbl 1175.58011 Ann. Inst. Fourier 59, No. 4, 1553-1610 (2009). MSC: 58J50 42B20 35J10 47F05 PDF BibTeX XML Cite \textit{C. Guillarmou} and \textit{A. Hassell}, Ann. Inst. Fourier 59, No. 4, 1553--1610 (2009; Zbl 1175.58011) Full Text: DOI arXiv EuDML OpenURL
Langerock, B. Conic distributions and accessible sets. (English) Zbl 1203.93053 J. Dyn. Control Syst. 14, No. 1, 43-70 (2008). MSC: 93B27 58E25 PDF BibTeX XML Cite \textit{B. Langerock}, J. Dyn. Control Syst. 14, No. 1, 43--70 (2008; Zbl 1203.93053) Full Text: DOI OpenURL
Guillarmou, Colin; Hassell, Andrew Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I. (English) Zbl 1141.58017 Math. Ann. 341, No. 4, 859-896 (2008). MSC: 58J50 58J37 PDF BibTeX XML Cite \textit{C. Guillarmou} and \textit{A. Hassell}, Math. Ann. 341, No. 4, 859--896 (2008; Zbl 1141.58017) Full Text: DOI arXiv EuDML OpenURL
Gil, Juan B.; Loya, Paul A. Resolvents of cone pseudodifferential operators, asymptotic expansions and applications. (English) Zbl 1141.58015 Math. Z. 259, No. 1, 65-95 (2008). Reviewer: Leszek Skrzypczak (Poznań) MSC: 58J40 58J20 58J35 58J37 PDF BibTeX XML Cite \textit{J. B. Gil} and \textit{P. A. Loya}, Math. Z. 259, No. 1, 65--95 (2008; Zbl 1141.58015) Full Text: DOI arXiv OpenURL
Melrose, Richard; Rochon, Frédéric Periodicity and the determinant bundle. (English) Zbl 1130.58013 Commun. Math. Phys. 274, No. 1, 141-186 (2007). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J28 58J52 PDF BibTeX XML Cite \textit{R. Melrose} and \textit{F. Rochon}, Commun. Math. Phys. 274, No. 1, 141--186 (2007; Zbl 1130.58013) Full Text: DOI arXiv OpenURL
Loya, Paul Geometric BVPs, Hardy spaces, and the Cauchy integral and transform on regions with corners. (English) Zbl 1132.58015 J. Differ. Equations 239, No. 1, 132-195 (2007). Reviewer: Dian K. Palagachev (Bari) MSC: 58J28 58J52 PDF BibTeX XML Cite \textit{P. Loya}, J. Differ. Equations 239, No. 1, 132--195 (2007; Zbl 1132.58015) Full Text: DOI OpenURL
Carron, Gilles; Coulhon, Thierry; Hassell, Andrew Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends. (English) Zbl 1106.58021 Duke Math. J. 133, No. 1, 59-93 (2006). Reviewer: Agostino Prástaro (Roma) MSC: 58J50 58J35 42B20 PDF BibTeX XML Cite \textit{G. Carron} et al., Duke Math. J. 133, No. 1, 59--93 (2006; Zbl 1106.58021) Full Text: DOI arXiv OpenURL
Hassell, Andrew; Melrose, Richard; Vasy, András Spectral and scattering theory for symbolic potentials of order zero. (English) Zbl 1038.35085 Adv. Math. 181, No. 1, 1-87 (2004). MSC: 35Q40 35P25 81U20 35P20 PDF BibTeX XML Cite \textit{A. Hassell} et al., Adv. Math. 181, No. 1, 1--87 (2004; Zbl 1038.35085) Full Text: DOI arXiv OpenURL
Loya, Paul Tempered operators and the heat kernel and complex powers of elliptic pseudodifferential operators. (English) Zbl 1008.58019 Commun. Partial Differ. Equations 26, No. 7-8, 1253-1321 (2001). Reviewer: Jesus A.Álvarez López (Santiago de Compostela) MSC: 58J40 35K05 58J20 58J28 58J35 PDF BibTeX XML Cite \textit{P. Loya}, Commun. Partial Differ. Equations 26, No. 7--8, 1253--1321 (2001; Zbl 1008.58019) Full Text: DOI OpenURL
Lauter, Robert; Moroianu, Sergiu Fredholm theory for degenerate pseudodifferential operators on manifolds with fibered boundaries. (English) Zbl 0988.58011 Commun. Partial Differ. Equations 26, No. 1-2, 233-283 (2001). Reviewer: Vladimir S.Rabinovich (Mexico) MSC: 58J40 35S05 19K56 58J22 58J42 58B15 PDF BibTeX XML Cite \textit{R. Lauter} and \textit{S. Moroianu}, Commun. Partial Differ. Equations 26, No. 1--2, 233--283 (2001; Zbl 0988.58011) Full Text: DOI OpenURL
Borthwick, David Scattering theory for conformally compact metrics with variable curvature at infinity. (English) Zbl 1006.58019 J. Funct. Anal. 184, No. 2, 313-376 (2001). Reviewer: Ken S.Richardson (Fort Worth) MSC: 58J50 35P25 47F05 PDF BibTeX XML Cite \textit{D. Borthwick}, J. Funct. Anal. 184, No. 2, 313--376 (2001; Zbl 1006.58019) Full Text: DOI arXiv OpenURL
Joshi, Mark S.; Sá Barreto, Antônio The wave group on asymptotically hyperbolic manifolds. (English) Zbl 0997.58010 J. Funct. Anal. 184, No. 2, 291-312 (2001). MSC: 58J40 35S30 35B40 58J45 35L05 PDF BibTeX XML Cite \textit{M. S. Joshi} and \textit{A. Sá Barreto}, J. Funct. Anal. 184, No. 2, 291--312 (2001; Zbl 0997.58010) Full Text: DOI Link OpenURL
Vasy, András Propagation of singularities in many-body scattering in the presence of bound states. (English) Zbl 1085.35010 J. Funct. Anal. 184, No. 1, 177-272 (2001). MSC: 35A21 35A20 35J10 35S05 47F05 58J47 81U10 PDF BibTeX XML Cite \textit{A. Vasy}, J. Funct. Anal. 184, No. 1, 177--272 (2001; Zbl 1085.35010) Full Text: DOI arXiv OpenURL
Loya, Paul The structure of the resolvent of elliptic pseudodifferential operators. (English) Zbl 0998.58016 J. Funct. Anal. 184, No. 1, 77-135 (2001). Reviewer: P.Godin (Bruxelles) MSC: 58J40 35S05 PDF BibTeX XML Cite \textit{P. Loya}, J. Funct. Anal. 184, No. 1, 77--135 (2001; Zbl 0998.58016) Full Text: DOI OpenURL
Hassel, Andrew; Vasy, András The resolvent for Laplace-type operators on asymptotically conic spaces. (English) Zbl 0983.35098 Ann. Inst. Fourier 51, No. 5, 1299-1346 (2001). MSC: 35P25 58J40 PDF BibTeX XML Cite \textit{A. Hassel} and \textit{A. Vasy}, Ann. Inst. Fourier 51, No. 5, 1299--1346 (2001; Zbl 0983.35098) Full Text: DOI arXiv Numdam EuDML OpenURL
Vasy, András Propagation of singularities in many-body scattering. (English) Zbl 0987.81114 Ann. Sci. Éc. Norm. Supér. (4) 34, No. 3, 313-402 (2001). Reviewer: Roger G.Newton (Bloomington) MSC: 81U10 PDF BibTeX XML Cite \textit{A. Vasy}, Ann. Sci. Éc. Norm. Supér. (4) 34, No. 3, 313--402 (2001; Zbl 0987.81114) Full Text: DOI arXiv Numdam EuDML OpenURL
Joshi, Mark S.; Sá Barreto, Antônio Inverse scattering on asymptotically hyperbolic manifolds. (English) Zbl 1142.58309 Acta Math. 184, No. 1, 41-86 (2000). MSC: 58J50 35P25 PDF BibTeX XML Cite \textit{M. S. Joshi} and \textit{A. Sá Barreto}, Acta Math. 184, No. 1, 41--86 (2000; Zbl 1142.58309) Full Text: DOI arXiv OpenURL
Hassell, Andrew; Vasy, András The spectral projections and the resolvent for scattering metrics. (English) Zbl 0981.58025 J. Anal. Math. 79, 241-298 (1999). Reviewer: Georgi E.Karadzhov (Sofia) MSC: 58J50 58J40 PDF BibTeX XML Cite \textit{A. Hassell} and \textit{A. Vasy}, J. Anal. Math. 79, 241--298 (1999; Zbl 0981.58025) Full Text: DOI arXiv OpenURL
Mooers, Edith A. Heat kernel asymptotics on manifolds with conic singularities. (English) Zbl 0981.58022 J. Anal. Math. 78, 1-36 (1999). MSC: 58J37 PDF BibTeX XML Cite \textit{E. A. Mooers}, J. Anal. Math. 78, 1--36 (1999; Zbl 0981.58022) Full Text: DOI OpenURL
Vasy, András Structure of the resolvent for three-body potentials. (English) Zbl 0891.35111 Duke Math. J. 90, No. 2, 379-434 (1997). Reviewer: Heinz Siedentop (Regensburg) MSC: 35P25 35J10 81U10 PDF BibTeX XML Cite \textit{A. Vasy}, Duke Math. J. 90, No. 2, 379--434 (1997; Zbl 0891.35111) Full Text: DOI OpenURL
Vasy, Andras Asymptotic behavior of generalized eigenfunctions in \(N\)-body scattering. (English) Zbl 0884.35110 J. Funct. Anal. 148, No. 1, 170-184 (1997). Reviewer: X.-P.Wang (Nantes) MSC: 35P25 35P10 PDF BibTeX XML Cite \textit{A. Vasy}, J. Funct. Anal. 148, No. 1, 170--184 (1997; Zbl 0884.35110) Full Text: DOI arXiv OpenURL
Callias, Constantine J. Spectrally determined singularities in a potential. (English) Zbl 0837.34036 Commun. Partial Differ. Equations 20, No. 9-10, 1553-1587 (1995). Reviewer: A.Strauss (Ul’yanovsk) MSC: 34B24 34L05 34A55 81Q10 PDF BibTeX XML Cite \textit{C. J. Callias}, Commun. Partial Differ. Equations 20, No. 9--10, 1553--1587 (1995; Zbl 0837.34036) Full Text: DOI OpenURL
Mazzeo, R. R.; Melrose, R. B. Analytic surgery and the eta invariant. (English) Zbl 0838.57022 Geom. Funct. Anal. 5, No. 1, 14-75 (1995). Reviewer: R.E.Stong (Charlottesville) MSC: 57R57 58J35 PDF BibTeX XML Cite \textit{R. R. Mazzeo} and \textit{R. B. Melrose}, Geom. Funct. Anal. 5, No. 1, 14--75 (1995; Zbl 0838.57022) Full Text: DOI EuDML OpenURL
Leung, Man Chun Conformal scalar curvature equations on complete manifolds. (English) Zbl 0833.53038 Commun. Partial Differ. Equations 20, No. 3-4, 367-417 (1995). Reviewer: O.Liess (Darmstadt) MSC: 53C21 58J60 PDF BibTeX XML Cite \textit{M. C. Leung}, Commun. Partial Differ. Equations 20, No. 3--4, 367--417 (1995; Zbl 0833.53038) Full Text: DOI OpenURL
Melrose, Richard B.; Piazza, Paolo Analytic \(K\)-theory on manifolds with corners. (English) Zbl 0761.55002 Adv. Math. 92, No. 1, 1-26 (1992). Reviewer: C.Costinescu (Bucureşti) MSC: 55N15 PDF BibTeX XML Cite \textit{R. B. Melrose} and \textit{P. Piazza}, Adv. Math. 92, No. 1, 1--26 (1992; Zbl 0761.55002) Full Text: DOI OpenURL
Freed, Daniel S.; Melrose, Richard B. A mod \(k\) index theorem. (English) Zbl 0760.58039 Invent. Math. 107, No. 2, 283-299 (1992). Reviewer: N.Jacob (Erlangen) MSC: 58J20 58J22 PDF BibTeX XML Cite \textit{D. S. Freed} and \textit{R. B. Melrose}, Invent. Math. 107, No. 2, 283--299 (1992; Zbl 0760.58039) Full Text: DOI EuDML OpenURL
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 PDF BibTeX XML Cite \textit{C. L. Epstein} et al., Acta Math. 167, No. 1--2, 1--106 (1991; Zbl 0758.32010) Full Text: DOI OpenURL