Baklouti, Ali; Bejar, Souhail; Fendri, Ramzi A criterion of proper action on some compact extensions of \(\mathbb{R}^n\) and applications. (English) Zbl 07668717 Int. J. Math. 34, No. 3, Article ID 2350010, 23 p. (2023). MSC: 22E27 22E40 57S30 PDF BibTeX XML Cite \textit{A. Baklouti} et al., Int. J. Math. 34, No. 3, Article ID 2350010, 23 p. (2023; Zbl 07668717) Full Text: DOI OpenURL
Katori, Makoto; Shirai, Tomoyuki Local universality of determinantal point processes on Riemannian manifolds. (English) Zbl 1508.60055 Proc. Japan Acad., Ser. A 98, No. 10, 95-100 (2022). Reviewer: Feng-Yu Wang (Tianjin) MSC: 60G55 58J65 PDF BibTeX XML Cite \textit{M. Katori} and \textit{T. Shirai}, Proc. Japan Acad., Ser. A 98, No. 10, 95--100 (2022; Zbl 1508.60055) Full Text: DOI arXiv OpenURL
Li, Wanzhen; Liu, Haiming Gauss-Bonnet theorem in the universal covering group of Euclidean motion group \(E(2)\) with the general left-invariant metric. (English) Zbl 1497.53071 J. Nonlinear Math. Phys. 29, No. 3, 626-657 (2022). MSC: 53C17 53C40 53C30 53B25 PDF BibTeX XML Cite \textit{W. Li} and \textit{H. Liu}, J. Nonlinear Math. Phys. 29, No. 3, 626--657 (2022; Zbl 1497.53071) Full Text: DOI OpenURL
Natividad, Laarni B.; Nable, Job A. Symbol correspondence for Euclidean systems. (English) Zbl 07636579 J. Geom. Symmetry Phys. 62, 67-84 (2021). MSC: 81S30 53D55 81R05 PDF BibTeX XML Cite \textit{L. B. Natividad} and \textit{J. A. Nable}, J. Geom. Symmetry Phys. 62, 67--84 (2021; Zbl 07636579) Full Text: DOI OpenURL
Natividad, Laarni B.; Nable, Job A. Star product on the Euclidean motion group in the plane. (English) Zbl 1471.81058 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 22nd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 8–13, 2020. Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 22, 209-218 (2021). MSC: 81S30 22E70 53D55 46L05 47N70 68U10 PDF BibTeX XML Cite \textit{L. B. Natividad} and \textit{J. A. Nable}, Geom. Integrability Quantization 22, 209--218 (2021; Zbl 1471.81058) Full Text: DOI OpenURL
Chattopadhyay, Arup; Ghosh, S.; Giri, D. K.; Srivastava, R. K. Heisenberg uniqueness pairs on the Euclidean spaces and the motion group. (Paires d’unicité de Heisenberg sur les espaces euclidiens et le groupe des mouvements.) (English. French summary) Zbl 1444.42004 C. R., Math., Acad. Sci. Paris 358, No. 3, 365-377 (2020). MSC: 42A38 33C10 33C55 PDF BibTeX XML Cite \textit{A. Chattopadhyay} et al., C. R., Math., Acad. Sci. Paris 358, No. 3, 365--377 (2020; Zbl 1444.42004) Full Text: DOI OpenURL
Holzinger, Stefan; Schöberl, Joachim; Gerstmayr, Johannes The equations of motion for a rigid body using non-redundant unified local velocity coordinates. (English) Zbl 1437.70004 Multibody Syst. Dyn. 48, No. 3, 283-309 (2020). MSC: 70E15 PDF BibTeX XML Cite \textit{S. Holzinger} et al., Multibody Syst. Dyn. 48, No. 3, 283--309 (2020; Zbl 1437.70004) Full Text: DOI OpenURL
Natividad, Laarni B.; Nable, Job A. Wigner functions and Weyl operators on the Euclidean motion group. (English) Zbl 1431.81084 J. Geom. Symmetry Phys. 54, 37-54 (2019). MSC: 81S30 20C35 22E70 81R05 PDF BibTeX XML Cite \textit{L. B. Natividad} and \textit{J. A. Nable}, J. Geom. Symmetry Phys. 54, 37--54 (2019; Zbl 1431.81084) Full Text: DOI Euclid OpenURL
Balestro, Vitor; Horváth, Ákos G.; Martini, Horst The inverse problem on roulettes in normed planes. (English) Zbl 1452.46012 Anal. Math. Phys. 9, No. 4, 2413-2434 (2019). MSC: 46B20 51M05 52A21 53A04 53A17 PDF BibTeX XML Cite \textit{V. Balestro} et al., Anal. Math. Phys. 9, No. 4, 2413--2434 (2019; Zbl 1452.46012) Full Text: DOI OpenURL
Kovalchuk, Vasyl; Gołubowska, Barbara; Mladenov, Ivaïlo Mechanics of infinitesimal test bodies on Delaunay surfaces: spheres and cylinders as limits of unduloids and their action-angle analysis. (English) Zbl 1434.53009 J. Geom. Symmetry Phys. 53, 55-84 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53A10 53A35 33E05 70E05 70G45 70G65 70H20 PDF BibTeX XML Cite \textit{V. Kovalchuk} et al., J. Geom. Symmetry Phys. 53, 55--84 (2019; Zbl 1434.53009) Full Text: DOI Euclid OpenURL
Baklouti, Ali; Bejar, Souhail; Fendri, Ramzi A local rigidity theorem for finite actions on Lie groups and application to compact extensions of \(\mathbb{R}^n\). (English) Zbl 1427.22009 Kyoto J. Math. 59, No. 3, 607-618 (2019). MSC: 22E27 22E40 57S30 PDF BibTeX XML Cite \textit{A. Baklouti} et al., Kyoto J. Math. 59, No. 3, 607--618 (2019; Zbl 1427.22009) Full Text: DOI Euclid OpenURL
de Oliveira Filho, Fernando Mário; Vallentin, Frank Computing upper bounds for the packing density of congruent copies of a convex body. (English) Zbl 1423.52035 Ambrus, Gergely (ed.) et al., New trends in intuitive geometry. Berlin: Springer/Bolyai Society. Bolyai Soc. Math. Stud. 27, 155-188 (2018). Reviewer: Elizaveta Zamorzaeva (Chişinău) MSC: 52C17 90C22 PDF BibTeX XML Cite \textit{F. M. de Oliveira Filho} and \textit{F. Vallentin}, Bolyai Soc. Math. Stud. 27, 155--188 (2018; Zbl 1423.52035) Full Text: DOI arXiv OpenURL
Özyeşil, Onur; Sharon, Nir; Singer, Amit Synchronization over Cartan motion groups via contraction. (English) Zbl 1471.90110 SIAM J. Appl. Algebra Geom. 2, No. 2, 207-241 (2018). MSC: 90C22 22E70 57S20 70G65 PDF BibTeX XML Cite \textit{O. Özyeşil} et al., SIAM J. Appl. Algebra Geom. 2, No. 2, 207--241 (2018; Zbl 1471.90110) Full Text: DOI arXiv OpenURL
Mashtakov, Alexey P.; Popov, Anton Yu. Extremal controls in the sub-Riemannian problem on the group of motions of Euclidean space. (English) Zbl 1404.53044 Regul. Chaotic Dyn. 22, No. 8, 949-954 (2017). Reviewer: Nathaniel Eldredge (Greeley) MSC: 53C17 53C22 PDF BibTeX XML Cite \textit{A. P. Mashtakov} and \textit{A. Yu. Popov}, Regul. Chaotic Dyn. 22, No. 8, 949--954 (2017; Zbl 1404.53044) Full Text: DOI arXiv OpenURL
Chirikjian, Gregory S. Degenerate diffusions and harmonic analysis on \(\mathrm{SE}(3)\): a tutorial. (English) Zbl 1391.43003 Albeverio, Sergio (ed.) et al., Stochastic geometric mechanics. CIB, Lausanne, Switzerland, January–June 2015. Cham: Springer (ISBN 978-3-319-63452-4/hbk; 978-3-319-63453-1/ebook). Springer Proceedings in Mathematics & Statistics 202, 77-99 (2017). MSC: 43A10 22E40 70E15 PDF BibTeX XML Cite \textit{G. S. Chirikjian}, Springer Proc. Math. Stat. 202, 77--99 (2017; Zbl 1391.43003) Full Text: DOI OpenURL
Bhowmik, Mithun; Sen, Suparna An uncertainty principle of Paley and Wiener on Euclidean motion group. (English) Zbl 1381.22007 J. Fourier Anal. Appl. 23, No. 6, 1445-1464 (2017). Reviewer: Jorge Vargas (Córdoba) MSC: 22E30 43A80 PDF BibTeX XML Cite \textit{M. Bhowmik} and \textit{S. Sen}, J. Fourier Anal. Appl. 23, No. 6, 1445--1464 (2017; Zbl 1381.22007) Full Text: DOI arXiv OpenURL
Jusufi, Kimet Quantum effects on the deflection of light and the Gauss-Bonnet theorem. (English) Zbl 1376.83020 Int. J. Geom. Methods Mod. Phys. 14, No. 10, Article ID 1750137, 13 p. (2017). MSC: 83C47 53A04 53Z05 83C57 83C10 81T17 81S10 PDF BibTeX XML Cite \textit{K. Jusufi}, Int. J. Geom. Methods Mod. Phys. 14, No. 10, Article ID 1750137, 13 p. (2017; Zbl 1376.83020) Full Text: DOI arXiv OpenURL
Baklouti, Ali; Bejar, Souhail Variants of stability of discontinuous groups for Euclidean motion groups. (English) Zbl 1370.57016 Int. J. Math. 28, No. 6, Article ID 1750046, 26 p. (2017). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 57S30 PDF BibTeX XML Cite \textit{A. Baklouti} and \textit{S. Bejar}, Int. J. Math. 28, No. 6, Article ID 1750046, 26 p. (2017; Zbl 1370.57016) Full Text: DOI OpenURL
Duits, R.; Ghosh, A.; Dela Haije, T. C. J.; Mashtakov, A. On sub-Riemannian geodesics in \(\mathrm{SE}(3)\) whose spatial projections do not have cusps. (English) Zbl 1364.53033 J. Dyn. Control Syst. 22, No. 4, 771-805 (2016). Reviewer: Vyron Vellis (Storrs) MSC: 53C17 22E30 49J15 70H06 PDF BibTeX XML Cite \textit{R. Duits} et al., J. Dyn. Control Syst. 22, No. 4, 771--805 (2016; Zbl 1364.53033) Full Text: DOI arXiv OpenURL
Zhang, Jiong; Duits, Remco; Sanguinetti, Gonzalo; ter Haar Romeny, Bart M. Numerical approaches for linear left-invariant diffusions on \(SE(2)\), their comparison to exact solutions, and their applications in retinal imaging. (English) Zbl 1363.65008 Numer. Math., Theory Methods Appl. 9, No. 1, 1-50 (2016). MSC: 65C30 65M06 65T50 65C05 35H10 65M75 60J05 65D18 65M15 60H15 60H35 35R60 PDF BibTeX XML Cite \textit{J. Zhang} et al., Numer. Math., Theory Methods Appl. 9, No. 1, 1--50 (2016; Zbl 1363.65008) Full Text: DOI arXiv OpenURL
Baklouti, Ali; Bejar, Souhail On the Calabi-Markus phenomenon and a rigidity theorem for Euclidean motion groups. (English) Zbl 1404.22019 Kyoto J. Math. 56, No. 2, 325-346 (2016). MSC: 22E27 22E40 57S30 PDF BibTeX XML Cite \textit{A. Baklouti} and \textit{S. Bejar}, Kyoto J. Math. 56, No. 2, 325--346 (2016; Zbl 1404.22019) Full Text: DOI Euclid OpenURL
Azaouzi, Salma; Baklouti, Ali; Ayed, Sabria Ben Variants of Müntz-Szàsz analogs for Euclidean spin groups. (English) Zbl 1342.22015 Math. Notes 98, No. 3, 367-381 (2015). Reviewer: Serap Öztop (Istanbul) MSC: 22E30 43A80 PDF BibTeX XML Cite \textit{S. Azaouzi} et al., Math. Notes 98, No. 3, 367--381 (2015; Zbl 1342.22015) Full Text: DOI OpenURL
Bansal, Ashish; Kumar, Ajay Generalized analogs of the Heisenberg uncertainty inequality. (English) Zbl 1345.22006 J. Inequal. Appl. 2015, Paper No. 168, 15 p. (2015). Reviewer: Öznur Kulak (Görele) MSC: 22E25 43A25 22D10 PDF BibTeX XML Cite \textit{A. Bansal} and \textit{A. Kumar}, J. Inequal. Appl. 2015, Paper No. 168, 15 p. (2015; Zbl 1345.22006) Full Text: DOI arXiv OpenURL
Barbieri, D.; Citti, G. Reproducing kernel Hilbert spaces of CR functions for the Euclidean motion group. (English) Zbl 1335.46022 Anal. Appl., Singap. 13, No. 3, 331-346 (2015). MSC: 46E22 32V10 22E45 81R30 43A32 PDF BibTeX XML Cite \textit{D. Barbieri} and \textit{G. Citti}, Anal. Appl., Singap. 13, No. 3, 331--346 (2015; Zbl 1335.46022) Full Text: DOI arXiv OpenURL
Aksoyak, Ferdag Kahraman; Yayli, Yusuf Homothetic motions and surfaces in \(E^4\). (English) Zbl 1321.53008 Bull. Malays. Math. Sci. Soc. (2) 38, No. 1, 259-269 (2015). Reviewer: Clementina Mladenova (Sofia) MSC: 53A07 43A80 30G35 PDF BibTeX XML Cite \textit{F. K. Aksoyak} and \textit{Y. Yayli}, Bull. Malays. Math. Sci. Soc. (2) 38, No. 1, 259--269 (2015; Zbl 1321.53008) Full Text: DOI OpenURL
Beban-Brkić, Jelena; Šimić Horvath, Marija Classification of conic sections in \(\mathrm{PE}_2(\mathbb R)\). (English) Zbl 1310.51025 Rad Hrvat. Akad. Znan. Umjet. 519, Mat. Znan. 18, 125-143 (2014). Reviewer: Rolf Riesinger (Wien) MSC: 51N25 51M05 PDF BibTeX XML Cite \textit{J. Beban-Brkić} and \textit{M. Šimić Horvath}, Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 519(18), 125--143 (2014; Zbl 1310.51025) Full Text: arXiv Link OpenURL
Aksoyak, Ferdag Kahraman; Yayli, Yusuf Homothetic motions and Lie groups in \(\mathbb{R}_2^4\). (English) Zbl 1316.43003 J. Dyn. Syst. Geom. Theor. 11, No. 1-2, 23-38 (2013). Reviewer: Clementina Mladenova (Sofia) MSC: 43A80 30G35 PDF BibTeX XML Cite \textit{F. K. Aksoyak} and \textit{Y. Yayli}, J. Dyn. Syst. Geom. Theor. 11, No. 1--2, 23--38 (2013; Zbl 1316.43003) Full Text: DOI OpenURL
Nava-Yazdani, E.; Polthier, K. De Casteljau’s algorithm on manifolds. (English) Zbl 1286.65023 Comput. Aided Geom. Des. 30, No. 7, 722-732 (2013). MSC: 65D17 PDF BibTeX XML Cite \textit{E. Nava-Yazdani} and \textit{K. Polthier}, Comput. Aided Geom. Des. 30, No. 7, 722--732 (2013; Zbl 1286.65023) Full Text: DOI OpenURL
Rodrigues, Sérgio S.; Crasta, Naveena; Aguiar, António Pedro; Silva Leite, Fátima An exponential observer for systems on \(\mathrm{SE}(3)\) with implicit outputs. (English) Zbl 1248.93032 Peixoto, Maurício Matos (ed.) et al., Dynamics, games and science II. DYNA 2008, in honor of Maurício Peixoto and David Rand, University of Minho, Braga, Portugal, September 8–12, 2008. Papers based on talks given at the international conference. Berlin: Springer (ISBN 978-3-642-14787-6/hbk; 978-3-642-14788-3/ebook). Springer Proceedings in Mathematics 2, 611-633 (2011). MSC: 93B07 93B25 93C73 93E10 PDF BibTeX XML Cite \textit{S. S. Rodrigues} et al., Springer Proc. Math. 2, 611--633 (2011; Zbl 1248.93032) Full Text: DOI OpenURL
Dann, Susanna; Ólafsson, Gestur Paley-Wiener theorems with respect to the spectral parameter. (English) Zbl 1235.43009 Boyallian, Carina (ed.) et al., New developments in Lie theory and its applications. Proceedings of the seventh workshop, Córdoba, Argentina, November 27–December 1, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5259-0/pbk). Contemporary Mathematics 544, 55-83 (2011). Reviewer: E. K. Narayanan (Bangalore) MSC: 43A85 22E46 PDF BibTeX XML Cite \textit{S. Dann} and \textit{G. Ólafsson}, Contemp. Math. 544, 55--83 (2011; Zbl 1235.43009) Full Text: arXiv OpenURL
Reventós Tarrida, Agustí Affine maps, Euclidean motions and quadrics. (English) Zbl 1222.51001 Springer Undergraduate Mathematics Series. Berlin: Springer (ISBN 978-0-85729-709-9/pbk; 978-0-85729-710-5/ebook). xx, 411 p. (2011). Reviewer: Rolf Riesinger (Wien) MSC: 51-01 51M05 51N10 51N20 15A21 15A63 14R99 11E10 PDF BibTeX XML Cite \textit{A. Reventós Tarrida}, Affine maps, Euclidean motions and quadrics. Berlin: Springer (2011; Zbl 1222.51001) Full Text: DOI OpenURL
Ebanks, Bruce; Stetkær, Henrik Continuous cocycles on locally compact groups. II. (English) Zbl 1216.39031 Aequationes Math. 80, No. 1-2, 57-83 (2010). MSC: 39B52 22E41 57T10 PDF BibTeX XML Cite \textit{B. Ebanks} and \textit{H. Stetkær}, Aequationes Math. 80, No. 1--2, 57--83 (2010; Zbl 1216.39031) Full Text: DOI OpenURL
Kyrov, V. A. Criterion for the nondegeneracy of a transformation group. (English. Russian original) Zbl 1180.22015 Math. Notes 85, No. 1, 133-135 (2009); translation from Mat. Zametki 85, No. 1, 144-146 (2009). Reviewer: Vasile Oproiu (Iaşi) MSC: 22E45 PDF BibTeX XML Cite \textit{V. A. Kyrov}, Math. Notes 85, No. 1, 133--135 (2009; Zbl 1180.22015); translation from Mat. Zametki 85, No. 1, 144--146 (2009) Full Text: DOI OpenURL
Ayadi, Sihem; Mokni, Kamel An \(L^{p}\)-\(L^{q}\)-version of Morgan’s theorem for the \(n\)-dimensional Euclidean motion group. (English) Zbl 1145.43009 Int. J. Math. Math. Sci. 2007, Article ID 43834, 9 p. (2007). Reviewer: Michael J. Puls (New York) MSC: 43A80 PDF BibTeX XML Cite \textit{S. Ayadi} and \textit{K. Mokni}, Int. J. Math. Math. Sci. 2007, Article ID 43834, 9 p. (2007; Zbl 1145.43009) Full Text: DOI OpenURL
Yarman, Can Evren; Yazici, Birsen A new exact inversion method for exponential Radon transform using the harmonic analysis of the Euclidean motion group. (English) Zbl 1133.44002 Inverse Probl. Imaging 1, No. 3, 457-479 (2007). Reviewer: Carla Peri (Milano-Largo) MSC: 44A12 65R10 PDF BibTeX XML Cite \textit{C. E. Yarman} and \textit{B. Yazici}, Inverse Probl. Imaging 1, No. 3, 457--479 (2007; Zbl 1133.44002) Full Text: DOI OpenURL
Yarman, Can Evren; Yazici, Birsen Euclidean motion group representations and the singular value decomposition of the Radon transform. (English) Zbl 1127.53064 Integral Transforms Spec. Funct. 18, No. 1-2, 59-76 (2007). Reviewer: Rainer Felix (Eichstätt) MSC: 53C65 22E46 42A38 44A12 60E05 65R10 43A30 PDF BibTeX XML Cite \textit{C. E. Yarman} and \textit{B. Yazici}, Integral Transforms Spec. Funct. 18, No. 1--2, 59--76 (2007; Zbl 1127.53064) Full Text: DOI OpenURL
Aafif, Amal; Boyer, Robert Panoramic image processing using non-commutative harmonic analysis. I: Investigation. (English) Zbl 1106.94301 Hager, William W. (ed.) et al., Multiscale optimization methods and applications. Selected papers based on the presentation at the conference, Gainesville, FL, USA, February 26–28, 2004. New York, NY: Springer (ISBN 0-387-29549-6/hbk). Nonconvex Optimization and Its Applications 82, 229-239 (2006). MSC: 94A08 43A80 22E45 PDF BibTeX XML Cite \textit{A. Aafif} and \textit{R. Boyer}, Nonconvex Optim. Appl. 82, 229--239 (2006; Zbl 1106.94301) OpenURL
Aron, Anania; Puta, Mircea; Şuşoi, Paul Stability, periodic solutions and numerical integration in the Goryachev-Chaplygin top dynamics. (English) Zbl 1120.70006 An. Univ. Vest Timiș., Ser. Mat.-Inform. 43, No. 2, 17-27 (2005). Reviewer: Clementina Mladenova (Sofia) MSC: 70E17 70E50 70-08 PDF BibTeX XML Cite \textit{A. Aron} et al., An. Univ. Vest Timiș., Ser. Mat.-Inform. 43, No. 2, 17--27 (2005; Zbl 1120.70006) OpenURL
Schröcker, Hans-Peter; Wallner, Johannes Curvatures and tolerances in the Euclidean motion group. (English) Zbl 1075.53007 Result. Math. 47, No. 1-2, 132-146 (2005). Reviewer: Kurt Leichtweiß (Stuttgart) MSC: 53A07 65G40 PDF BibTeX XML Cite \textit{H.-P. Schröcker} and \textit{J. Wallner}, Result. Math. 47, No. 1--2, 132--146 (2005; Zbl 1075.53007) Full Text: DOI OpenURL
Galibina, N. A. Extremal versions of the Pompeiu problem. (English. Russian original) Zbl 1006.26008 Ukr. Math. J. 53, No. 11, 1801-1808 (2001); translation from Ukr. Mat. Zh. 53, No. 11, 1482-1487 (2001). Reviewer: A.M.Gomilko (Kyïv) MSC: 26B35 31B20 PDF BibTeX XML Cite \textit{N. A. Galibina}, Ukr. Mat. Zh. 53, No. 11, 1482--1487 (2001; Zbl 1006.26008); translation from Ukr. Mat. Zh. 53, No. 11, 1482--1487 (2001) Full Text: DOI OpenURL
Kalnins, E. G.; Kress, J. M.; Pogosyan, G. S.; Miller, W. jun. Completeness of superintegrability in two-dimensional constant-curvature spaces. (English) Zbl 0993.70014 J. Phys. A, Math. Gen. 34, No. 22, 4705-4720 (2001). MSC: 70H06 37J05 PDF BibTeX XML Cite \textit{E. G. Kalnins} et al., J. Phys. A, Math. Gen. 34, No. 22, 4705--4720 (2001; Zbl 0993.70014) Full Text: DOI arXiv OpenURL
Perelomov, A. M. [Borisov, A. V.; Mamaev, I. S.] A note on geodesics on an ellipsoid. (English) Zbl 0947.70011 Regul. Chaotic Dyn. 5, No. 1, 89-91 (2000); comments ibid. 5, No. 1, 92-94(2000). Reviewer: I.A.Taimanov (Novosibirsk) MSC: 70H06 70E40 22E70 37D40 70G65 37N05 PDF BibTeX XML Cite \textit{A. M. Perelomov}, Regul. Chaotic Dyn. 5, No. 1, 89--91 (2000; Zbl 0947.70011) Full Text: arXiv OpenURL
Meyer, Kenneth R. Periodic solutions of the N-body problem. (English) Zbl 0958.70001 Lecture Notes in Mathematics. 1719. Berlin: Springer. ix, 144 p. (1999). Reviewer: M.-C.Anisiu (Cluj-Napoca) MSC: 70-02 70F10 70H12 70H05 70F15 37N05 37-02 34C25 PDF BibTeX XML Cite \textit{K. R. Meyer}, Periodic solutions of the N-body problem. Berlin: Springer (1999; Zbl 0958.70001) Full Text: DOI OpenURL
Kyatkin, A. B.; Chirikjian, G. S. Applications of Fourier methods to the motion group in robot kinematics. (English) Zbl 0936.70003 Lenarčič, Jadran (ed.) et al., Advances in robot kinematics: analysis and control. 6th symposium, Strobl/Salzburg, Austria, June/July 1998. Dordrecht: Kluwer Academic Publishers. 355-364 (1998). Reviewer: I.Grosu (Iaşi) MSC: 70-08 70B15 PDF BibTeX XML Cite \textit{A. B. Kyatkin} and \textit{G. S. Chirikjian}, in: Advances in robot kinematics: analysis and control. 6th symposium, Strobl/Salzburg, Austria, June/July 1998. Dordrecht: Kluwer Academic Publishers. 355--364 (1998; Zbl 0936.70003) OpenURL
Bagchi, S. C.; Ray, Swagato K. Uncertainty principles like Hardy’s theorem on some Lie groups. (English) Zbl 0930.22009 J. Aust. Math. Soc., Ser. A 65, No. 3, 289-302 (1998). Reviewer: W.Schempp (Siegen) MSC: 22E25 22E30 PDF BibTeX XML Cite \textit{S. C. Bagchi} and \textit{S. K. Ray}, J. Aust. Math. Soc., Ser. A 65, No. 3, 289--302 (1998; Zbl 0930.22009) OpenURL
Neuenschwander, D. The Marcinkiewicz-Zygmund law of large numbers on the group of Euclidean motions and the diamond group. (English) Zbl 0912.60006 J. Math. Sci., New York 89, No. 5, 1535-1540 (1998). Reviewer: Rimas Norvaiša (Vilnius) MSC: 60B15 60F15 PDF BibTeX XML Cite \textit{D. Neuenschwander}, J. Math. Sci., New York 89, No. 5, 1535--1540 (1998; Zbl 0912.60006) Full Text: DOI OpenURL
Žefran, Miloš; Kumar, Vijay Interpolation schemes for rigid body motions. (English) Zbl 0904.68179 Comput.-Aided Des. 30, No. 3, 179-189 (1998). MSC: 68U07 70B15 68U05 PDF BibTeX XML Cite \textit{M. Žefran} and \textit{V. Kumar}, Comput.-Aided Des. 30, No. 3, 179--189 (1998; Zbl 0904.68179) Full Text: DOI OpenURL
Sundari, M. Hardy’s theorem for the \(n\)-dimensional Euclidean motion group. (English) Zbl 0898.43002 Proc. Am. Math. Soc. 126, No. 4, 1199-1204 (1998). Reviewer: H.Günzler (Kiel) MSC: 43A30 22E30 43A80 PDF BibTeX XML Cite \textit{M. Sundari}, Proc. Am. Math. Soc. 126, No. 4, 1199--1204 (1998; Zbl 0898.43002) Full Text: DOI OpenURL
Sitaram, A.; Sundari, M.; Thangavelu, S. Uncertainty principles on certain Lie groups. (English) Zbl 0857.43011 Proc. Indian Acad. Sci., Math. Sci. 105, No. 2, 135-151 (1995). Reviewer: K.Saka (Akita) MSC: 43A80 43A30 22E30 PDF BibTeX XML Cite \textit{A. Sitaram} et al., Proc. Indian Acad. Sci., Math. Sci. 105, No. 2, 135--151 (1995; Zbl 0857.43011) Full Text: DOI OpenURL
Kopský, Vojtěch Translation normalizers of Euclidean groups. I: Elementary theory. (English) Zbl 0786.20034 J. Math. Phys. 34, No. 4, 1548-1556 (1993). Reviewer: A.Janner (Nijmegen) MSC: 20H15 20E07 20E15 PDF BibTeX XML Cite \textit{V. Kopský}, J. Math. Phys. 34, No. 4, 1548--1556 (1993; Zbl 0786.20034) Full Text: DOI OpenURL
Peloso, M. M. Central critical points in the spectrum of the Fourier-Stieltjes algebra of a locally compact group. (English) Zbl 0781.43002 Rend. Mat. Appl., VII. Ser. 11, No. 1, 67-84 (1991). MSC: 43A30 46J20 22D25 PDF BibTeX XML Cite \textit{M. M. Peloso}, Rend. Mat. Appl., VII. Ser. 11, No. 1, 67--84 (1991; Zbl 0781.43002) OpenURL
Gonzalez, Fulton B. On the range of the Radon \(d\)-plane transform and its dual. (English) Zbl 0743.44002 Trans. Am. Math. Soc. 327, No. 2, 601-619 (1991). Reviewer: W.Luther (Aachen) MSC: 44A12 43A85 53C65 58C35 PDF BibTeX XML Cite \textit{F. B. Gonzalez}, Trans. Am. Math. Soc. 327, No. 2, 601--619 (1991; Zbl 0743.44002) Full Text: DOI OpenURL
Sugiura, Mitsuo Unitary representations and harmonic analysis. An introduction. 2nd ed. (English) Zbl 0697.22001 North-Holland Mathematical Library, 44. Amsterdam etc.: North-Holland; Tokyo: Kodansha Ltd. xv, 452 p. $ 112.75; Dfl. 220.00 (1990). Reviewer: J.Faraut MSC: 22-01 43-01 22E45 43A65 PDF BibTeX XML Cite \textit{M. Sugiura}, Unitary representations and harmonic analysis. An introduction. 2nd ed. Amsterdam etc.: North-Holland; Tokyo: Kodansha Ltd. (1990; Zbl 0697.22001) OpenURL
Flachsmeyer, Jürgen; Feiste, Uwe; Manteuffel, Karl Mathematik und ornamentale Kunstformen. (Mathematics and ornaments.). (German) Zbl 0719.51001 Mathematische Schülerbücherei, 148. Leipzig: BSB B. G. Teubner Verlagsgesellschaft. 148 S. DM 16.80 (1990). Reviewer: J.Böhm (Jena) MSC: 51-01 52C17 51N30 51M20 51F15 20H15 68U05 PDF BibTeX XML Cite \textit{J. Flachsmeyer} et al., Mathematik und ornamentale Kunstformen. (Mathematics and ornaments.). Leipzig: BSB B. G. Teubner Verlagsgesellschaft (1990; Zbl 0719.51001) OpenURL
Bagchi, S. C.; Sitaram, A. The Pompeiu problem revisited. (English) Zbl 0722.43009 Enseign. Math., II. Sér. 36, No. 1-2, 67-91 (1990). Reviewer: K.Sakai (Kagoshima) MSC: 43A80 43A85 43A46 PDF BibTeX XML Cite \textit{S. C. Bagchi} and \textit{A. Sitaram}, Enseign. Math. (2) 36, No. 1--2, 67--91 (1990; Zbl 0722.43009) OpenURL
Klotzek, Benno Über diskrete Bewegungsgruppen der pseudoeuklidischen Ebene. (About discrete motion groups of the pseudo-Euclidean plane). (German) Zbl 0719.51014 Wiss. Z. Pädagog. Hochsch. Karl Liebknecht, Potsdam 34, No. 1, 93-97 (1990). Reviewer: W.Nolte (Darmstadt) MSC: 51M05 20F65 PDF BibTeX XML Cite \textit{B. Klotzek}, Wiss. Z. Pädagog. Hochsch. Karl Liebknecht, Potsdam 34, No. 1, 93--97 (1990; Zbl 0719.51014) OpenURL
Benyamini, Yoav; Weit, Yitzhak Spaces of continuous functions invariant with respect to radial action. (English) Zbl 0708.43001 Am. J. Math. 112, No. 4, 631-656 (1990). Reviewer: Y.Benyamini MSC: 43A45 43A85 43A80 PDF BibTeX XML Cite \textit{Y. Benyamini} and \textit{Y. Weit}, Am. J. Math. 112, No. 4, 631--656 (1990; Zbl 0708.43001) Full Text: DOI OpenURL
Gonzalez, Fulton B. Invariant differential operators and the range of the Radon d-plane transform. (English) Zbl 0676.44005 Math. Ann. 287, No. 4, 627-635 (1990). Reviewer: F.B.Gonzalez MSC: 44A12 43A85 53C65 22E30 PDF BibTeX XML Cite \textit{F. B. Gonzalez}, Math. Ann. 287, No. 4, 627--635 (1990; Zbl 0676.44005) Full Text: DOI EuDML OpenURL
Scott, David; Sitaram, Alladi Some remarks on the Pompeiu problem for groups. (English) Zbl 0691.22005 Proc. Am. Math. Soc. 104, No. 4, 1261-1266 (1988). MSC: 22E30 43A80 22A10 22D99 43A46 PDF BibTeX XML Cite \textit{D. Scott} and \textit{A. Sitaram}, Proc. Am. Math. Soc. 104, No. 4, 1261--1266 (1988; Zbl 0691.22005) Full Text: DOI OpenURL
Pantoja, J.; Soto-Andrade, J. Structure of generalized local rigid motion groups. (English) Zbl 0691.20035 Proc. Am. Math. Soc. 104, No. 3, 693-696 (1988). MSC: 20G25 20H15 22E50 22D05 20G05 22D12 11S37 51F15 PDF BibTeX XML Cite \textit{J. Pantoja} and \textit{J. Soto-Andrade}, Proc. Am. Math. Soc. 104, No. 3, 693--696 (1988; Zbl 0691.20035) Full Text: DOI OpenURL
Grossman, R.; Krishnaprasad, P. S.; Marsden, Jerrold E. The dynamics of two coupled rigid bodies. (English) Zbl 0679.70011 Dynamical systems approaches to nonlinear problems in systems and circuits, Proc. Conf. Qual. Methods Anal. Nonlinear Dyn., Henniker/UK 1986, 373-378 (1988). MSC: 70G10 70H03 70E15 37J99 53C15 PDF BibTeX XML OpenURL
Sreenath, N.; Oh, Y. G.; Krishnaprasad, P. S.; Marsden, J. E. The dynamics of coupled planar rigid bodies. I: Reduction, equilibria and stability. (English) Zbl 0677.70008 Dyn. Stab. Syst. 3, No. 1-2, 25-49 (1988). Reviewer: M.Kummer MSC: 70F10 70H05 70E15 PDF BibTeX XML Cite \textit{N. Sreenath} et al., Dyn. Stab. Syst. 3, No. 1--2, 25--49 (1988; Zbl 0677.70008) Full Text: DOI OpenURL
Donelan, Peter S. Generic properties in Euclidean kinematics. (English) Zbl 0667.70003 Acta Appl. Math. 12, No. 3, 265-286 (1988). Reviewer: Y.E.Gliklikh MSC: 70B15 70G45 37J99 53A17 PDF BibTeX XML Cite \textit{P. S. Donelan}, Acta Appl. Math. 12, No. 3, 265--286 (1988; Zbl 0667.70003) Full Text: DOI OpenURL
Manolessou, Marietta M. The \(\Phi\) 4 equations of motion. I: A new contructive method: The \(\Phi\) iteration. (English) Zbl 0651.46075 J. Math. Phys. 29, No. 9, 2092-2105 (1988). MSC: 46N99 81T08 81T17 PDF BibTeX XML Cite \textit{M. M. Manolessou}, J. Math. Phys. 29, No. 9, 2092--2105 (1988; Zbl 0651.46075) Full Text: DOI OpenURL
Abbasov, N. T.; Ragimova, Z. A. Elliptic and hyperbolic spaces over the algebra of biquasi-alternions. (Russian) Zbl 0675.51009 Studies in geometry, Thematic Collect. Sci. Works, 20-26 (1987). Reviewer: A.Szybiak MSC: 51M35 14M99 20H99 PDF BibTeX XML OpenURL
Klotzek, B. Discontinuous groups in normed spaces. (English) Zbl 0632.51023 Intuitive geometry, Pap. Int. Conf., Siófok/Hung. 1985, Colloq. Math. Soc. János Bolyai 48, 299-316 (1987). Reviewer: R.Löwen MSC: 51M05 PDF BibTeX XML OpenURL
Battesti, F. D. Solvability of differential operators. I: Direct and semidirect products of Lie groups. (English) Zbl 0636.58038 Operator theory and partial differential equations, Miniconf. Ryde/Aust. 1986, Proc. Cent. Math. Anal. Aust. Natl. Univ. 14, 60-84 (1986). Reviewer: F.Rouvière MSC: 58J70 22E30 PDF BibTeX XML OpenURL
Manolessou, Marietta The \(\Phi ^{4}_{2}\) equations of motion. I. Sign and splitting properties - Definition of the \(\Phi _{\Lambda}\)-subsets. (English) Zbl 0601.70009 Univ. Bielefeld, Forschungszentr. Bielefeld-Bochum-Stochastik 52, 64 p. (1985). Reviewer: H.S.P.Grässer MSC: 70Sxx 46N99 81T17 PDF BibTeX XML OpenURL
Reimann, H. M. The Cauchy-Ahlfors operator, an invariant differential operator for vector fields. (English) Zbl 0531.30022 Harmonic analysis, Proc. Conf., Cortona/Italy 1982, Lect. Notes Math. 992, 391-401 (1983). Reviewer: K.Shibata MSC: 30C62 30F40 42B20 PDF BibTeX XML OpenURL
Kuemmich, F.; Scheerer, H. Topological quasi-normal subgroups of locally compact groups. (Italian) Zbl 0525.22005 Rend. Sem. Mat. Univ. Padova 69, 195-210 (1983). MSC: 22D05 22E15 PDF BibTeX XML Cite \textit{F. Kuemmich} and \textit{H. Scheerer}, Rend. Semin. Mat. Univ. Padova 69, 195--210 (1983; Zbl 0525.22005) Full Text: Numdam EuDML OpenURL
Schmid, Wilfried Poincaré and Lie groups. (English) Zbl 0525.01011 The mathematical heritage of Henri Poincare, Proc. Symp. Pure Math. 39, Part 1, Bloomington/Indiana 1980, 157-168 (1983). MSC: 01A55 01A60 22-03 22E15 PDF BibTeX XML OpenURL
Sakai, Kokichi On indecomposable unitary representations of the 2-dimensional Euclidean motion group in finite dimensional indefinite inner product spaces. II. (English) Zbl 0525.22008 Sci. Rep. Kagoshima Univ. 30, 1-21 (1981). MSC: 22D12 22E45 46C20 47B06 PDF BibTeX XML Cite \textit{K. Sakai}, Sci. Rep. Kagoshima Univ. 30, 1--21 (1981; Zbl 0525.22008) OpenURL
Matsyuk, R. Ya. The variational principle for geodesic circles. (Russian) Zbl 0479.35006 Boundary value problems of mathematical physics, Collect. sci. Works, Kiev 1981, 79-81 (1981). MSC: 35A30 49S05 35Q05 83E05 PDF BibTeX XML OpenURL
Sakai, Kokichi Some remarks on unitary representations of the Euclidean motion group in \(\Pi_m\)-spaces. (English) Zbl 0445.22009 Sci. Rep. Kagoshima Univ. 29, 13-26 (1980). MSC: 22E45 PDF BibTeX XML Cite \textit{K. Sakai}, Sci. Rep. Kagoshima Univ. 29, 13--26 (1980; Zbl 0445.22009) OpenURL
Maximov, V. M. Local theorems for Euclidean motions. I. (English) Zbl 0427.60010 Z. Wahrscheinlichkeitstheor. Verw. Geb. 51, 27-38 (1980). MSC: 60B15 60F05 PDF BibTeX XML Cite \textit{V. M. Maximov}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 51, 27--38 (1980; Zbl 0427.60010) Full Text: DOI OpenURL
Weit, Yitzhak On Schwartz’s theorem for the motion group. (English) Zbl 0407.43008 Ann. Inst. Fourier 30, No. 1, 91-107 (1980). MSC: 43A45 43A80 PDF BibTeX XML Cite \textit{Y. Weit}, Ann. Inst. Fourier 30, No. 1, 91--107 (1980; Zbl 0407.43008) Full Text: DOI Numdam EuDML OpenURL
Falkowski, B.-J. Infinitely divisible positive functions on \(SO(3)\circledS \mathbb{R}^3\). (English) Zbl 0403.22006 Probability measures on groups, Proc. 5th Conf., Oberwolfach 1978, Lect. Notes Math. 706, 111-115 (1979). MSC: 22A25 22A10 22E45 43A35 PDF BibTeX XML OpenURL
Rozenfel’d, B. A. Die kompakte einfache Gruppe \(E_6\) als Bewegungsgruppe der nichteuklidischen komplexen Oktavenebenen. (Russian) Zbl 0059.14002 Dokl. Akad. Nauk Az. SSR 10, 829-833 (1954). Reviewer: Hans Freudenthal MSC: 51-XX PDF BibTeX XML Cite \textit{B. A. Rozenfel'd}, Dokl., Akad. Nauk Az. SSR 10, 829--833 (1954; Zbl 0059.14002) OpenURL
Mannheim, A. Studies on the (infinitesimal) displacements of a rigid body. (Étude sur le déplacement d’une figure de forme invariable.) (French) JFM 02.0654.01 J. de l’Ec. Pol. Cah. 43. 57-122. 1870 (1870). Reviewer: Schumann, Dr. (Berlin) MSC: 70B10 70G55 70G65 PDF BibTeX XML OpenURL
Battaglini, G. Remark on the infinitesimal geometric motion of a rigid system. (Nota sul movimento geometrico infinitesimo di un sistema rigido.) (Italian) JFM 02.0652.01 Rend. di Napoli 1870 (1870). Reviewer: Battaglini, Prof. (Neapel) (transl. by Ohrtmann, Dr. (Berlin)) MSC: 70B10 51M04 70G65 PDF BibTeX XML OpenURL