Celledoni, Elena; Glöckner, Helge; Riseth, Jørgen N.; Schmeding, Alexander Deep neural networks on diffeomorphism groups for optimal shape reparametrization. (English) Zbl 1526.65027 BIT 63, No. 4, Paper No. 50, 38 p. (2023). MSC: 65K10 58D05 46T10 PDFBibTeX XMLCite \textit{E. Celledoni} et al., BIT 63, No. 4, Paper No. 50, 38 p. (2023; Zbl 1526.65027) Full Text: DOI arXiv
Schmeding, Alexander An introduction to infinite-dimensional differential geometry. (English) Zbl 1512.58001 Cambridge Studies in Advanced Mathematics 202. Cambridge: Cambridge University Press (ISBN 978-1-316-51488-7/hbk; 978-1-00-909125-1/ebook). xiv, 267 p., open access (2023). Reviewer: Kaveh Eftekharinasab (Kyïv) MSC: 58-01 53-01 22E67 22E65 46T05 55P55 57N20 57S05 58B10 58B20 58B25 58D05 PDFBibTeX XMLCite \textit{A. Schmeding}, An introduction to infinite-dimensional differential geometry. Cambridge: Cambridge University Press (2023; Zbl 1512.58001) Full Text: DOI arXiv
Okołów, Andrzej Hilbert spaces built over metrics of fixed signature. (English) Zbl 1510.83035 Classical Quantum Gravity 39, No. 6, Article ID 065003, 50 p. (2022). MSC: 83C45 46C05 54E50 37K65 PDFBibTeX XMLCite \textit{A. Okołów}, Classical Quantum Gravity 39, No. 6, Article ID 065003, 50 p. (2022; Zbl 1510.83035) Full Text: DOI arXiv
Fidaleo, Francesco; Ottomano, Federico; Rossi, Stefano Spectral and ergodic properties of completely positive maps and decoherence. (English) Zbl 1483.37010 Linear Algebra Appl. 633, 104-126 (2022). MSC: 37A55 46L53 46L55 47A10 57S05 PDFBibTeX XMLCite \textit{F. Fidaleo} et al., Linear Algebra Appl. 633, 104--126 (2022; Zbl 1483.37010) Full Text: DOI arXiv
Fiorenza, Domenico; Lê, Hông Vân Formally integrable complex structures on higher dimensional knot spaces. (English) Zbl 1485.58012 J. Symplectic Geom. 19, No. 3, 507-529 (2021). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 58D10 57K10 57R42 53C40 46T10 53D15 58D05 PDFBibTeX XMLCite \textit{D. Fiorenza} and \textit{H. V. Lê}, J. Symplectic Geom. 19, No. 3, 507--529 (2021; Zbl 1485.58012) Full Text: DOI arXiv
Carpi, Sebastiano; Del Vecchio, Simone; Iovieno, Stefano; Tanimoto, Yoh Positive energy representations of Sobolev diffeomorphism groups of the circle. (English) Zbl 1458.81027 Anal. Math. Phys. 11, No. 1, Paper No. 12, 36 p. (2021). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 81R10 22E66 22E65 57S05 60J99 17B68 46L10 PDFBibTeX XMLCite \textit{S. Carpi} et al., Anal. Math. Phys. 11, No. 1, Paper No. 12, 36 p. (2021; Zbl 1458.81027) Full Text: DOI arXiv
Avez, A. Differential calculus. Translated from the French by D. Edmunds. Reprint of the 1986 edition. (English) Zbl 1458.46001 Mineola, NY: Dover Publications (ISBN 978-0-486-84564-7/pbk). xii, 179 p. (2020). MSC: 46-01 46G05 34G20 49J27 34G10 26B10 46A32 58C20 58C15 01A75 PDFBibTeX XMLCite \textit{A. Avez}, Differential calculus. Translated from the French by D. Edmunds. Reprint of the 1986 edition. Mineola, NY: Dover Publications (2020; Zbl 1458.46001)
Vialard, François-Xavier Variational second-order interpolation on the group of diffeomorphisms with a right-invariant metric. (English) Zbl 1448.58009 Kushnarev, Sergey (ed.) et al., Mathematics of shapes and applications. Selected papers based on the presentations at the workshop, Singapore, July 4–31, 2016. Hackensack, NJ: World Scientific. Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap. 37, 1-14 (2020). Reviewer: Alexander Schmeding (Bergen) MSC: 58D05 46E36 49Q99 58E40 PDFBibTeX XMLCite \textit{F.-X. Vialard}, Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap. 37, 1--14 (2020; Zbl 1448.58009) Full Text: DOI arXiv
Cismas, Emanuel-Ciprian; Lupa, Nicolae A Nash-Moser approach for the Euler-Arnold equations. (English) Zbl 1440.35264 Monatsh. Math. 192, No. 2, 333-353 (2020). MSC: 35Q35 35Q31 76M60 35S05 46A61 58D05 35A01 35A02 PDFBibTeX XMLCite \textit{E.-C. Cismas} and \textit{N. Lupa}, Monatsh. Math. 192, No. 2, 333--353 (2020; Zbl 1440.35264) Full Text: DOI
Glöckner, Helge Completeness of infinite-dimensional Lie groups in their left uniformity. (English) Zbl 1409.22016 Can. J. Math. 71, No. 1, 131-152 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22A05 22E67 46A13 46M40 58D05 PDFBibTeX XMLCite \textit{H. Glöckner}, Can. J. Math. 71, No. 1, 131--152 (2019; Zbl 1409.22016) Full Text: DOI arXiv
Lichtenfelz, Leandro A. Normal forms for the \(L^2\) Riemannian exponential map on diffeomorphism groups. (English) Zbl 1411.58005 Int. Math. Res. Not. 2018, No. 6, 1730-1753 (2018). Reviewer: Alexander Schmeding (Berlin) (MR 3801474) MSC: 58D05 58B25 46T10 PDFBibTeX XMLCite \textit{L. A. Lichtenfelz}, Int. Math. Res. Not. 2018, No. 6, 1730--1753 (2018; Zbl 1411.58005) Full Text: DOI
Alonso-Ruiz, Patricia; Hinz, Michael; Teplyaev, Alexander; Treviño, Rodrigo Canonical diffusions on the pattern spaces of aperiodic Delone sets. arXiv:1801.08956 Preprint, arXiv:1801.08956 [math.DS] (2018). MSC: 60J60 81Q35 37C85 31C25 31E05 35K08 37C40 37C55 46E35 47D03 58A12 58A14 60J35 BibTeX Cite \textit{P. Alonso-Ruiz} et al., ``Canonical diffusions on the pattern spaces of aperiodic Delone sets'', Preprint, arXiv:1801.08956 [math.DS] (2018) Full Text: arXiv OA License
Glöckner, Helge Completeness of locally \(k_{\omega}\)-groups and related infinite-dimensional Lie groups. (English) Zbl 1375.22012 Topology Appl. 228, 277-284 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22A05 46A13 46M40 58D05 PDFBibTeX XMLCite \textit{H. Glöckner}, Topology Appl. 228, 277--284 (2017; Zbl 1375.22012) Full Text: DOI arXiv
Sergeev, A. G. String theory and quasiconformal maps. (English) Zbl 1370.81148 Lobachevskii J. Math. 38, No. 2, 352-363 (2017). MSC: 81T30 81T70 81S30 81T75 53D42 46E35 57S05 PDFBibTeX XMLCite \textit{A. G. Sergeev}, Lobachevskii J. Math. 38, No. 2, 352--363 (2017; Zbl 1370.81148) Full Text: DOI
Roussillon, Pierre; Glaunès, Joan Alexis Kernel metrics on normal cycles and application to curve matching. (English) Zbl 1364.53071 SIAM J. Imaging Sci. 9, No. 4, 1991-2038 (2016). MSC: 53C65 49Q15 28A75 37K65 46E22 65D18 62H35 68U10 68U05 PDFBibTeX XMLCite \textit{P. Roussillon} and \textit{J. A. Glaunès}, SIAM J. Imaging Sci. 9, No. 4, 1991--2038 (2016; Zbl 1364.53071) Full Text: DOI
Schmeding, Alexander; Wockel, Christoph (Re)constructing Lie groupoids from their bisections and applications to prequantisation. (English) Zbl 1358.58011 Differ. Geom. Appl. 49, 227-276 (2016). Reviewer: Marta Macho Stadler (Leioa) MSC: 58H05 22E65 46T10 58D19 58D05 57T20 53D05 PDFBibTeX XMLCite \textit{A. Schmeding} and \textit{C. Wockel}, Differ. Geom. Appl. 49, 227--276 (2016; Zbl 1358.58011) Full Text: DOI arXiv
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin The exponential law for spaces of test functions and diffeomorphism groups. (English) Zbl 1346.46019 Indag. Math., New Ser. 27, No. 1, 225-265 (2016). Reviewer: Helge Glöckner (Paderborn) MSC: 46E10 22E65 46A17 46E35 46E40 46F05 58D05 PDFBibTeX XMLCite \textit{A. Kriegl} et al., Indag. Math., New Ser. 27, No. 1, 225--265 (2016; Zbl 1346.46019) Full Text: DOI arXiv
Misiołek, Gerard The exponential map near conjugate points in 2D hydrodynamics. (English) Zbl 1329.58003 Arnold Math. J. 1, No. 3, 243-251 (2015). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 58B25 46T05 37K65 35Q35 PDFBibTeX XMLCite \textit{G. Misiołek}, Arnold Math. J. 1, No. 3, 243--251 (2015; Zbl 1329.58003) Full Text: DOI
Kriegl, Andreas; Michor, Peter W.; Rainer, Armin The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type. (English) Zbl 1331.26050 Rev. Mat. Complut. 28, No. 3, 549-597 (2015). Reviewer: Nacib Gurgel Albuquerque (João Pessoa) MSC: 26E10 46A17 46E50 58B10 58B25 58C25 58D05 58D15 PDFBibTeX XMLCite \textit{A. Kriegl} et al., Rev. Mat. Complut. 28, No. 3, 549--597 (2015; Zbl 1331.26050) Full Text: DOI arXiv
Schmeding, A. The diffeomorphism group of a non-compact orbifold. (English) Zbl 1318.58005 Diss. Math. 507, 179 p. (2015). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 22E65 46T05 57R18 53C20 PDFBibTeX XMLCite \textit{A. Schmeding}, Diss. Math. 507, 179 p. (2015; Zbl 1318.58005) Full Text: DOI arXiv
Kriegl, Andreas; Michor, W Peter.; Rainer, Armin An exotic zoo of diffeomorphism groups on \(\mathbb {R}^n\). (English) Zbl 1316.58008 Ann. Global Anal. Geom. 47, No. 2, 179-222 (2015). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D15 58D05 26E10 46A17 46E50 46F05 58B10 58B25 58C25 35Q31 PDFBibTeX XMLCite \textit{A. Kriegl} et al., Ann. Global Anal. Geom. 47, No. 2, 179--222 (2015; Zbl 1316.58008) Full Text: DOI arXiv
Banakh, Taras; Yagasaki, Tatsuhiko Diffeomorphism groups of non-compact manifolds endowed with the Whitney \(C^\infty\)-topology. (English) Zbl 1302.58003 Topology Appl. 179, 51-61 (2015). Reviewer: David B. Gauld (Auckland) MSC: 58D05 57N20 57S05 46A13 PDFBibTeX XMLCite \textit{T. Banakh} and \textit{T. Yagasaki}, Topology Appl. 179, 51--61 (2015; Zbl 1302.58003) Full Text: DOI arXiv
Schmeding, Alexander Orbifold diffeomorphism groups. (English) Zbl 1319.58009 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXII workshop, Białowieża, Poland, June 30 – July 6, 2013. Selected papers. Cham: Birkhäuser/Springer (ISBN 978-3-319-06247-1/hbk; 978-3-319-06248-8/ebook). Trends in Mathematics, 153-162 (2014). MSC: 58D05 22E65 46T05 57R18 PDFBibTeX XMLCite \textit{A. Schmeding}, in: Geometric methods in physics. XXXII workshop, Białowieża, Poland, June 30 -- July 6, 2013. Selected papers. Cham: Birkhäuser/Springer. 153--162 (2014; Zbl 1319.58009) Full Text: DOI
Micheli, Mario; Glaunès, Joan A. Matrix-valued kernels for shape deformation analysis. (English) Zbl 1396.46025 Geom. Imaging Comput. 1, No. 1, 57-139 (2014). MSC: 46E22 58D05 94A08 PDFBibTeX XMLCite \textit{M. Micheli} and \textit{J. A. Glaunès}, Geom. Imaging Comput. 1, No. 1, 57--139 (2014; Zbl 1396.46025) Full Text: DOI arXiv
Savin, Anton; Sternin, Boris Index of elliptic operators for diffeomorphisms of manifolds. (English) Zbl 1320.58010 J. Noncommut. Geom. 8, No. 3, 695-734 (2014). Reviewer: Nadine Große (Leipzig) MSC: 58J05 19K56 46L85 58D05 58J40 58J20 PDFBibTeX XMLCite \textit{A. Savin} and \textit{B. Sternin}, J. Noncommut. Geom. 8, No. 3, 695--734 (2014; Zbl 1320.58010) Full Text: DOI arXiv
Gay-Balmaz, François; Vizman, Cornelia Principal bundles of embeddings and nonlinear Grassmannians. (English) Zbl 1318.46061 Ann. Global Anal. Geom. 46, No. 3, 293-312 (2014). Reviewer: Vincent Humiliere (Paris) MSC: 46T05 58D05 58D10 58D15 PDFBibTeX XMLCite \textit{F. Gay-Balmaz} and \textit{C. Vizman}, Ann. Global Anal. Geom. 46, No. 3, 293--312 (2014; Zbl 1318.46061) Full Text: DOI arXiv
Banakh, Taras; Mine, Kotaro; Sakai, Katsuro; Yagasaki, Tatsuhiko On homeomorphism groups of non-compact surfaces, endowed with the Whitney topology. (English) Zbl 1295.57037 Topology Appl. 164, 170-181 (2014). Reviewer: Rainer Löwen (Braunschweig) MSC: 57S05 57N05 57N20 46A13 PDFBibTeX XMLCite \textit{T. Banakh} et al., Topology Appl. 164, 170--181 (2014; Zbl 1295.57037) Full Text: DOI arXiv
Savin, Anton; Sternin, Boris Elliptic theory for operators associated with diffeomorphisms of smooth manifolds. (English) Zbl 1269.58009 Molahajloo, Shahla (ed.) et al., Pseudo-differential operators, generalized functions and asymptotics. Selected papers of the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0584-1/hbk; 978-3-0348-0585-8/ebook). Operator Theory: Advances and Applications 231, 1-26 (2013). MSC: 58J20 58J28 58J32 19K56 46L80 58J22 57S05 58-02 58J40 PDFBibTeX XMLCite \textit{A. Savin} and \textit{B. Sternin}, Oper. Theory: Adv. Appl. 231, 1--26 (2013; Zbl 1269.58009) Full Text: DOI arXiv
Shnirelman, A. On the analyticity of particle trajectories in the ideal incompressible fluid. (English) Zbl 1296.35133 Glob. Stoch. Anal. 2, No. 1, 149-157 (2012). MSC: 35Q31 46G20 58C10 58D05 PDFBibTeX XMLCite \textit{A. Shnirelman}, Glob. Stoch. Anal. 2, No. 1, 149--157 (2012; Zbl 1296.35133) Full Text: arXiv
Bruveris, Martins; Risser, Laurent; Vialard, François-Xavier Mixture of kernels and iterated semidirect product of diffeomorphisms groups. (English) Zbl 1262.49005 Multiscale Model. Simul. 10, No. 4, 1344-1368 (2012). MSC: 49J15 68U10 46E22 PDFBibTeX XMLCite \textit{M. Bruveris} et al., Multiscale Model. Simul. 10, No. 4, 1344--1368 (2012; Zbl 1262.49005) Full Text: DOI arXiv
Walter, Boris Weighted diffeomorphism groups of Banach spaces and weighted mapping groups. (English) Zbl 1252.58007 Diss. Math. 484, 126 p. (2012). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 22E65 22E67 26E15 26E20 46E10 46E40 46E50 46T05 46T10 46T20 58D15 PDFBibTeX XMLCite \textit{B. Walter}, Diss. Math. 484, 126 p. (2012; Zbl 1252.58007) Full Text: DOI arXiv
Choffrut, Antoine; Šverák, Vladimír Local structure of the set of steady-state solutions to the 2D incompressible Euler equations. (English) Zbl 1256.35076 Geom. Funct. Anal. 22, No. 1, 136-201 (2012). Reviewer: Cornelia Vizman (Timişoara) MSC: 35Q35 37C25 37K65 46T05 58C15 58D05 PDFBibTeX XMLCite \textit{A. Choffrut} and \textit{V. Šverák}, Geom. Funct. Anal. 22, No. 1, 136--201 (2012; Zbl 1256.35076) Full Text: DOI arXiv
Ludkovsky, S. V. Groups of wraps and diffeomorphisms of manifolds over non-Archimedean normed fields. (English) Zbl 1229.46047 Int. J. Math. Game Theory Algebra 19(2010), No. 5-6, 401-438 (2011). Reviewer: Cristina Pérez-García (Santander) MSC: 46S10 22A05 58B99 PDFBibTeX XMLCite \textit{S. V. Ludkovsky}, Int. J. Math. Game Theory Algebra 19, No. 5--6, 401--438 (2011; Zbl 1229.46047)
Banakh, Taras; Mine, Kotaro; Sakai, Katsuro; Yagasaki, Tatsuhiko Homeomorphism and diffeomorphism groups of non-compact manifolds with the Whitney topology. (English) Zbl 1188.22001 Topol. Proc. 37, 61-93 (2011). MSC: 22A05 46A13 46T05 46T10 54H11 57N05 57N17 57N20 57S05 58D05 58D15 PDFBibTeX XMLCite \textit{T. Banakh} et al., Topol. Proc. 37, 61--93 (2011; Zbl 1188.22001) Full Text: arXiv
Horváthy, Peter A.; Martina, Luigi; Stichel, Peter C. Exotic galilean symmetry and non-commutative mechanics. (English) Zbl 1223.81161 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 060, 26 p. (2010). MSC: 81T75 46L55 37K65 37L20 83C65 81T70 81V70 81R05 PDFBibTeX XMLCite \textit{P. A. Horváthy} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 060, 26 p. (2010; Zbl 1223.81161) Full Text: DOI arXiv EuDML
Banakh, Taras; Mine, Kotaro; Sakai, Katsuro Classifying homeomorphism groups of infinite graphs. (English) Zbl 1196.57035 Topology Appl. 156, No. 17, 2845-2869 (2009). Reviewer: David B. Gauld (Auckland) MSC: 57S05 58D05 46A13 54H11 57N17 57N20 22A05 46T05 46T10 58D15 PDFBibTeX XMLCite \textit{T. Banakh} et al., Topology Appl. 156, No. 17, 2845--2869 (2009; Zbl 1196.57035) Full Text: DOI
Maksymenko, Sergiy Homotopy dimension of orbits of Morse functions on surfaces. (English) Zbl 1196.37040 Kubarski, Jan (ed.) et al., Special issue: Proceedings of the 8th conference on geometry and topology of manifolds (Lie algebroids, dynamical systems and applications), Luxembourg-Poland-Ukraine conference, Przemyśl, Poland, L’viv, Ukraine, April 30–May 6, 2007. Luxembourg: University of Luxembourg, Faculty of Science, Technology and Communication (ISBN 978-2-87971-025-9/pbk). Travaux Mathématiques 18, 39-44 (2008). Reviewer: Peter Zabreiko (Minsk) MSC: 37C05 14F35 46T10 57R50 58E05 58E40 PDFBibTeX XMLCite \textit{S. Maksymenko}, Trav. Math. 18, 39--44 (2008; Zbl 1196.37040) Full Text: arXiv
Hiltunen, Seppo I. On Yamamuro’s inverse and implicit function theorems in terms of calibrations. arXiv:0709.3986 Preprint, arXiv:0709.3986 [math.FA] (2007). MSC: 46T20 47J07 46G05 58C15 35B30 58D05 35A05 BibTeX Cite \textit{S. I. Hiltunen}, ``On Yamamuro's inverse and implicit function theorems in terms of calibrations'', Preprint, arXiv:0709.3986 [math.FA] (2007) Full Text: arXiv
Beltiţă, D.; Ratiu, T. S. Symplectic leaves in real Banach Lie-Poisson spaces. (English) Zbl 1083.58011 Geom. Funct. Anal. 15, No. 4, 753-779 (2005). Reviewer: Hiroaki Shimomura (Kochi) MSC: 58B25 46L10 53D17 37K65 46L99 PDFBibTeX XMLCite \textit{D. Beltiţă} and \textit{T. S. Ratiu}, Geom. Funct. Anal. 15, No. 4, 753--779 (2005; Zbl 1083.58011) Full Text: DOI arXiv
Glöckner, Helge Diff(\(\mathbb{R}^{n})\) as a Milnor-Lie group. (English) Zbl 1073.58011 Math. Nachr. 278, No. 9, 1025-1032 (2005). MSC: 58D05 22E65 46F05 46T20 PDFBibTeX XMLCite \textit{H. Glöckner}, Math. Nachr. 278, No. 9, 1025--1032 (2005; Zbl 1073.58011) Full Text: DOI
Hattab, Hawete; Salhi, Ezzeddine Groups of homeomorphisms and spectral topology. (English) Zbl 1091.57026 Topol. Proc. 28, No. 2, 503-526 (2004). Reviewer: David B. Gauld (Auckland) MSC: 57S05 57R30 46L99 54H20 PDFBibTeX XMLCite \textit{H. Hattab} and \textit{E. Salhi}, Topol. Proc. 28, No. 2, 503--526 (2004; Zbl 1091.57026)
Lin, Qing; Phillips, N. Christopher Direct limit decomposition for \(C^*\)-algebras of minimal diffeomorphisms. (English) Zbl 1074.46047 Kosaki, Hideki (ed.), Operator algebras and applications. Proceedings of the US-Japan seminar held at Kyushu University, Fukuoka, Japan, June 7–11, 1999. Tokyo: Mathematical Society of Japan (ISBN 4-931469-23-X/hbk). Advanced Studies in Pure Mathematics 38, 107-133 (2004). Reviewer: V. M. Manuilov (Moskva) MSC: 46L55 19K14 46L35 46L80 47L65 58D05 37B05 57S30 PDFBibTeX XMLCite \textit{Q. Lin} and \textit{N. C. Phillips}, Adv. Stud. Pure Math. 38, 107--133 (2004; Zbl 1074.46047) Full Text: arXiv
Glockner, Helge Lie groups over non-discrete topological fields. arXiv:math/0408008 Preprint, arXiv:math/0408008 [math.GR] (2004). MSC: 22E65 22E67 58D05 26E30 26E15 26E20 46A16 46S10 58C20 BibTeX Cite \textit{H. Glockner}, ``Lie groups over non-discrete topological fields'', Preprint, arXiv:math/0408008 [math.GR] (2004) Full Text: arXiv
Ludkovsky, Sergey V. A structure and representations of diffeomorphism groups of non-Archimedean manifolds. (English) Zbl 1048.43006 Southeast Asian Bull. Math. 26, No. 6, 975-1004 (2003). Reviewer: David B. Gauld (Auckland) MSC: 43A65 46S10 57S05 PDFBibTeX XMLCite \textit{S. V. Ludkovsky}, Southeast Asian Bull. Math. 26, No. 6, 975--1004 (2003; Zbl 1048.43006) Full Text: arXiv
Odzijewicz, Anatol; Ratiu, Tudor S. Banach Lie-Poisson spaces and reduction. (English) Zbl 1044.53057 Commun. Math. Phys. 243, No. 1, 1-54 (2003). Reviewer: Olga Radko (Los Angeles) MSC: 53D17 46L99 37K65 58B25 PDFBibTeX XMLCite \textit{A. Odzijewicz} and \textit{T. S. Ratiu}, Commun. Math. Phys. 243, No. 1, 1--54 (2003; Zbl 1044.53057) Full Text: DOI arXiv
Airault, Hélène; Ren, Jiagang Modulus of continuity of the canonic Brownian motion “on the group of diffeomorphisms of the circle”. (English) Zbl 1023.60051 J. Funct. Anal. 196, No. 2, 395-426 (2002). Reviewer: J.Franchi (Paris) MSC: 60H07 58J65 60H10 58D05 22E65 58D20 46N50 PDFBibTeX XMLCite \textit{H. Airault} and \textit{J. Ren}, J. Funct. Anal. 196, No. 2, 395--426 (2002; Zbl 1023.60051) Full Text: DOI
Al-Sayyad, Siham Jalal On limits of semigroups depending on parameters. (English) Zbl 1009.47026 Far East J. Math. Sci. (FJMS) Spec. Vol., Pt. III, 281-292 (2001). MSC: 47D06 37C70 46E15 57S05 PDFBibTeX XMLCite \textit{S. J. Al-Sayyad}, Far East J. Math. Sci. (FJMS) Spec. Vol., Part III, 281--292 (2001; Zbl 1009.47026)
Sakai, Katsuro The completions of metric ANR’s and homotopy dense subsets. (English) Zbl 0974.57013 J. Math. Soc. Japan 52, No. 4, 835-846 (2000). Reviewer: Zvonko Čerin (Zagreb) MSC: 57N20 58D05 46E15 55M15 PDFBibTeX XMLCite \textit{K. Sakai}, J. Math. Soc. Japan 52, No. 4, 835--846 (2000; Zbl 0974.57013) Full Text: DOI
Kondratiev, Yuri G.; Lytvynov, Eugene W.; Us, Georgi F. Analysis and geometry on \({\mathbb R}_{+}\)-marked configuration space. (English) Zbl 0956.58004 Methods Funct. Anal. Topol. 5, No. 1, 29-64 (1999). Reviewer: A.N.Kochubei (Kyïv) MSC: 58D20 46T12 22E65 PDFBibTeX XMLCite \textit{Y. G. Kondratiev} et al., Methods Funct. Anal. Topol. 5, No. 1, 29--64 (1999; Zbl 0956.58004) Full Text: arXiv
Aharonov, Dov; Reich, Simeon; Shoikhet, David Flow invariance conditions for holomorphic mappings in Banach spaces. (English) Zbl 0947.46033 Math. Proc. R. Ir. Acad. 99A, No. 1, 93-104 (1999). Reviewer: Richard M.Aron (Kent/Ohio) MSC: 46G20 47E05 46H70 57S05 PDFBibTeX XMLCite \textit{D. Aharonov} et al., Math. Proc. R. Ir. Acad. 99A, No. 1, 93--104 (1999; Zbl 0947.46033)
Ludkovsky, Sergey V. Irreducible unitary representations of non-Archimedean groups of diffeomorphisms. (English) Zbl 0933.43003 Southeast Asian Bull. Math. 22, No. 4, 419-436 (1998). Reviewer: M.van der Put (Groningen) MSC: 43A65 46S10 PDFBibTeX XMLCite \textit{S. V. Ludkovsky}, Southeast Asian Bull. Math. 22, No. 4, 419--436 (1998; Zbl 0933.43003)
Bourbaki, Nicolas Elements of mathematics. General topology. Chapters 5–10. Transl. from the French. Softcover edition of the 2nd printing 1989. (English) Zbl 0894.54002 Berlin: Springer. iv, 363 p. (1998). MSC: 54-01 46Exx 57S05 57N17 PDFBibTeX XMLCite \textit{N. Bourbaki}, Elements of mathematics. General topology. Chapters 5--10. Transl. from the French. Softcover edition of the 2nd printing 1989. Berlin: Springer (1998; Zbl 0894.54002)
Hoppe, Jens On \(M\)-algebras, the quantisation of Nambu-mechanics, and volume preserving diffeomorphisms. (English) Zbl 0867.58001 Helv. Phys. Acta 70, No. 1-2, 302-317 (1997). MSC: 46L85 46L87 58D05 70H99 46L55 PDFBibTeX XMLCite \textit{J. Hoppe}, Helv. Phys. Acta 70, No. 1--2, 302--317 (1997; Zbl 0867.58001) Full Text: arXiv
Shavgulidze, E. T. Quasiinvariant measures on groups of diffeomorphisms. (English. Russian original) Zbl 0916.58008 Sergeev, A. G. (ed.) et al., Loop spaces and groups of diffeomorphisms. Collected papers. Moscow: MAIK Nauka/Interperiodica Publishing, Proc. Steklov Inst. Math. 217, 181-202 (1997); translation from Tr. Mat. Inst. Steklova 217, 189-208 (1997). Reviewer: D.B.Gauld (Auckland) MSC: 58D20 46G12 58D05 PDFBibTeX XMLCite \textit{E. T. Shavgulidze}, in: Loop spaces and groups of diffeomorphisms. Collected papers. Moscow: MAIK Nauka/Interperiodica Publishing. 181--202 (1997; Zbl 0916.58008); translation from Tr. Mat. Inst. Steklova 217, 189--208 (1997)
Jones, Vaughan Fusion in von Neumann algebras and loop groups [after A. Wassermann]. (Fusion en algèbres de von Neuman et groupes de lacets [d’après A. Wassermann].) (French) Zbl 0921.46066 Séminaire Bourbaki. Volume 1994/95. Exposés 790-804. Paris: Société Mathématique de France, Astérisque. 237, 251-273, Exp. No. 800 (1996). Reviewer: Jean-Michel Vallin (Paris) MSC: 46L37 46L35 22E67 81T05 81T40 22E70 58D05 PDFBibTeX XMLCite \textit{V. Jones}, in: Séminaire Bourbaki. Volume 1994/95. Exposés 790-804. Paris: Société Ma\-thé\-ma\-tique de France. 251--273, Exp. No. 800 (1996; Zbl 0921.46066) Full Text: Numdam EuDML
Thomas, E. G. F. Vector fields as derivations on nuclear manifolds. (English) Zbl 0840.58005 Math. Nachr. 176, 277-286 (1995). MSC: 58B10 46G05 58D05 PDFBibTeX XMLCite \textit{E. G. F. Thomas}, Math. Nachr. 176, 277--286 (1995; Zbl 0840.58005) Full Text: DOI
Park, Efton Index theory and Toeplitz algebras on one-parameter subgroups of Lie groups. (English) Zbl 0789.47022 Pac. J. Math. 158, No. 1, 189-199 (1993). Reviewer: E.Park (Fort Worth) MSC: 47B35 46L05 46L80 22E30 PDFBibTeX XMLCite \textit{E. Park}, Pac. J. Math. 158, No. 1, 189--199 (1993; Zbl 0789.47022) Full Text: DOI
Vechtomov, E. M. Questions of determinability of topological spaces by algebraic systems of continuous functions. (Russian) Zbl 0733.54007 Itogi Nauki Tekh., Ser. Algebra, Topologiya, Geom. 28, 3-46 (1990). Reviewer: J.V.Whittaker (Vancouver) MSC: 54C40 57S05 46E25 46E05 54H10 PDFBibTeX XMLCite \textit{E. M. Vechtomov}, Itogi Nauki Tekh., Ser. Algebra Topol. Geom. 28, 3--46 (1990; Zbl 0733.54007)
Vechtomov, E. M. Specification of topological spaces by algebraic systems of continuous functions. (English. Russian original) Zbl 0778.54006 J. Sov. Math. 53, No. 2, 123-147 (1991); translation from Itogi Nauki Tekh., Ser. Algebra Topologiya Geom. 28, 3-46 (1990). MSC: 54C40 57S05 46E25 46E05 54H10 PDFBibTeX XML Full Text: DOI
Donato, Paul Géométrie des orbites coadjointes des groupes de difféomorphismes. (Geometry of coadjoint orbits of groups of diffeomorphisms). (French) Zbl 0702.58013 Géométrie symplectique et mécanique, Colloq. Int. Sémin. Sud- Rhodan. Géom. V, La Grande Motte/Fr. 1988, Lect. Notes Math. 1416, 84-104 (1990). Reviewer: A.Kriegl MSC: 58D05 46G05 PDFBibTeX XML
Batty, C. J. K. Derivations on the line and flows along orbits. (English) Zbl 0578.46045 Pac. J. Math. 126, No. 2, 209-225 (1987). MSC: 46J10 47B47 57S05 46L55 PDFBibTeX XMLCite \textit{C. J. K. Batty}, Pac. J. Math. 126, No. 2, 209--225 (1987; Zbl 0578.46045) Full Text: DOI
Avez, A. Differential calculus. Transl. from the French by D. Edmunds. (English) Zbl 0582.46001 A Wiley-Interscience Publication. Chichester - New York etc: John Wiley and Sons. XII, 179 p. £17.95 (1986). Reviewer: J.Lorenz MSC: 46-01 46G05 34G20 49J27 34G10 26B10 46A32 58C20 58C15 PDFBibTeX XML
Saraykar, R. V.; Joshi, N. E. Viscous fluid flows over \(R^ n\) with asymptotic conditions. (English) Zbl 0604.76019 J. Math. Phys. Sci. 19, 161-167 (1985). MSC: 76D05 35Q30 35B40 46E35 PDFBibTeX XMLCite \textit{R. V. Saraykar} and \textit{N. E. Joshi}, J. Math. Phys. Sci. 19, 161--167 (1985; Zbl 0604.76019)
Magnus, R. J. Some properties of wild orbits of infinite-dimensional transformation groups. (English) Zbl 0533.58003 Math. Proc. Camb. Philos. Soc. 92, 429-435 (1982). Reviewer: Liliana Maxim-Răileanu (Iaşi) MSC: 58B20 22E65 58D05 46E20 58B10 58B15 PDFBibTeX XMLCite \textit{R. J. Magnus}, Math. Proc. Camb. Philos. Soc. 92, 429--435 (1982; Zbl 0533.58003) Full Text: DOI
Magnus, R. J. Infinite-dimensional group actions and similarity of quadratic forms on a Hilbert space. (English) Zbl 0518.58007 Proc. Lond. Math. Soc., III. Ser. 45, 420-434 (1982). MSC: 58B15 46E20 58D05 57S99 58B10 58B20 PDFBibTeX XMLCite \textit{R. J. Magnus}, Proc. Lond. Math. Soc. (3) 45, 420--434 (1982; Zbl 0518.58007) Full Text: DOI
Cantor, Murray Elliptic operators and the decomposition of tensor fields. (English) Zbl 0481.58023 Bull. Am. Math. Soc., New Ser. 5, 235-262 (1981). MSC: 58J10 58A14 58A99 35J30 35Q30 46E15 46E35 58D05 PDFBibTeX XMLCite \textit{M. Cantor}, Bull. Am. Math. Soc., New Ser. 5, 235--262 (1981; Zbl 0481.58023) Full Text: DOI
Shavgulidze, E. T. An example of a measure quasi-invariant under the action of the diffeomorphism group of the circle. (English) Zbl 0412.58011 Funct. Anal. Appl. 12, 203-207 (1979). MSC: 58D05 28C20 28D05 46E15 PDFBibTeX XMLCite \textit{E. T. Shavgulidze}, Funct. Anal. Appl. 12, 203--207 (1979; Zbl 0412.58011) Full Text: DOI
Petermann, Eike On a method of constructing categories. (English) Zbl 0411.18003 J. Pure Appl. Algebra 15, 271-281 (1979). MSC: 18A99 18B30 18B35 18B40 46M99 57P99 PDFBibTeX XMLCite \textit{E. Petermann}, J. Pure Appl. Algebra 15, 271--281 (1979; Zbl 0411.18003) Full Text: DOI
Cantor, M. Some problems of global analysis on asymptotically simple manifolds. (English) Zbl 0402.58004 Compos. Math. 38, 3-35 (1979). MSC: 58D17 53C20 46E35 58D05 PDFBibTeX XMLCite \textit{M. Cantor}, Compos. Math. 38, 3--35 (1979; Zbl 0402.58004) Full Text: Numdam EuDML
Cantor, M. Spaces of functions with asymptotic conditions on \(\mathbb{R}\). (English) Zbl 0441.46028 Indiana Univ. Math. J. 24, 897-902 (1975). MSC: 46E35 58D05 47F05 PDFBibTeX XMLCite \textit{M. Cantor}, Indiana Univ. Math. J. 24, 897--902 (1975; Zbl 0441.46028) Full Text: DOI
Upmeier, Harald Über die Automorphismengruppen beschränkter Gebiete in Banachräumen. Diss. (German) Zbl 0313.32039 Fachbereich Mathematik der Eberhard-Karls-Universität zu Tübingen. V, 62 S. (1975). MSC: 32M05 22E65 32M15 58D05 46G99 PDFBibTeX XML
Cantor, Murray Groups of diffeomorphisms of \(R^n\) and the flow of a perfect fluid. (English) Zbl 0311.58005 Bull. Am. Math. Soc. 81, 205-208 (1975). MSC: 58D05 35Q05 46E15 37-XX PDFBibTeX XMLCite \textit{M. Cantor}, Bull. Am. Math. Soc. 81, 205--208 (1975; Zbl 0311.58005) Full Text: DOI
Irwin, M. C. On the smoothness of the composition map. (English) Zbl 0235.46067 Q. J. Math., Oxf. II. Ser. 23, 113-133 (1972). MSC: 46G05 58D05 46B45 PDFBibTeX XMLCite \textit{M. C. Irwin}, Q. J. Math., Oxf. II. Ser. 23, 113--133 (1972; Zbl 0235.46067) Full Text: DOI
Bourbaki, Nicolas Elements of mathematics. General topology. Part 2. Translation of the French original. (English) Zbl 0301.54002 Actualites scientifiques et industrielles Hermann. Adiwes International Series in Mathematics. Paris: Hermann, Editeurs des Sciences et des Arts; Reading, Mass. etc.: Addison-Wesley Publishing Company. IV, 363 p. (1966). MSC: 54-01 54-XX 46Exx 57S05 57N17 PDFBibTeX XML