## Taylor, Keith Frederick

Compute Distance To:
 Author ID: taylor.keith-f Published as: Taylor, Keith F.; Taylor, Keith; Taylor, K. F.; Taylor, K. more...less Homepage: https://www.mathstat.dal.ca/~kft/ External Links: MGP
 Documents Indexed: 45 Publications since 1976, including 1 Book Reviewing Activity: 4 Reviews Co-Authors: 31 Co-Authors with 36 Joint Publications 668 Co-Co-Authors
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### Co-Authors

 6 single-authored 7 Arimoto, Shigeru 7 Kaniuth, Eberhard 5 Baggett, Lawrence Wasson 5 Mezey, Paul G. 5 Spivakovsky, Mark 3 Ghandehari, Mahya 3 Schulz, Eckart 2 Packer, Judith A. 2 Werner, Wend 2 Zizler, Peter 1 Alaghmandan, Mahmood 1 Alcaniz, Jailson S. 1 Benetti, Micol 1 Benitez, N. 1 Bernier, David 1 Bonoli, S. 1 Borges, Humberto A. 1 Borwein, David 1 Borwein, Jonathan Michael 1 Carneiro, Saulo 1 Cenarro, A. J. 1 Cristóbal-Hornillos, D. 1 Currey, Bradley Norton III 1 de Oliveira, C. Mendes 1 Dupke, R. A. 1 Ederoclite, A. 1 Fabris, Júlio César 1 Führ, Hartmut 1 Gröchenig, Karlheinz 1 Larson, David Royal 1 Lim, Lek-Heng 1 López-Sanjuan, C. 1 Luo, Xincai 1 MacArthur, Joshua D. 1 Marín-Franch, A. 1 Mashhood, Bahman 1 Merrill, Kathy D. 1 Moles, M. 1 Pigozzo, Cássio 1 Ramió, H. Vázquez 1 Salzano, Vincenzo 1 Schlichting, Günter 1 Sodré Jr, L. 1 Speegle, Darrin M. 1 Spronk, Nico 1 Syzdykova, Aizhan 1 Tsujikawa, Shinji 1 von Marttens, Rodrigo 1 Wang, Xikui 1 Yang, Qingde 1 Yoshida, Eiji 1 Zuidwijk, Rob A.
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### Serials

 5 Journal of Mathematical Chemistry 4 Journal of Functional Analysis 4 Mathematische Annalen 4 Proceedings of the American Mathematical Society 3 International Journal of Mathematics and Mathematical Sciences 2 The Journal of Fourier Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin of Mathematical Biology 1 Canadian Journal of Mathematics 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 SIAM Journal on Matrix Analysis and Applications 1 SIAM Journal on Mathematical Analysis 1 Journal of Lie Theory 1 Journal of Cosmology and Astroparticle Physics 1 Journal of Applied Functional Analysis 1 Cambridge Tracts in Mathematics
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### Fields

 19 Topological groups, Lie groups (22-XX) 18 Abstract harmonic analysis (43-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 9 Functional analysis (46-XX) 6 Biology and other natural sciences (92-XX) 5 Operator theory (47-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Quantum theory (81-XX) 3 Group theory and generalizations (20-XX) 3 Numerical analysis (65-XX) 2 Algebraic geometry (14-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

39 Publications have been cited 278 times in 200 Documents Cited by Year
Wavelets from square-integrable representations. Zbl 0843.42018
Bernier, David; Taylor, Keith F.
1996
Induced representations of locally compact groups. Zbl 1263.22005
Kaniuth, Eberhard; Taylor, Keith F.
2013
Geometry of the Fourier algebras and locally compact groups with atomic unitary representations. Zbl 0488.43009
Taylor, Keith F.
1983
Convergence of lattice sums and Madelung’s constant. Zbl 0587.40007
Borwein, David; Borwein, Jonathan M.; Taylor, Keith F.
1985
Compact open sets in duals and projections in $$L^ 1$$-algebras of certain semi-direct product groups. Zbl 0763.43004
Gröchenig, Karlheinz; Kaniuth, Eberhard; Taylor, Keith F.
1992
A direct integral decomposition of the wavelet representation. Zbl 0976.65125
Lim, Lek-Heng; Packer, Judith A.; Taylor, Keith F.
2001
Groups with completely reducible regular representation. Zbl 0403.22007
Baggett, Larry; Taylor, Keith
1978
A sufficient condition for the complete reducibility of the regular representation. Zbl 0425.22007
Baggett, Larry; Taylor, Keith
1979
Minimal primal and Glimm ideal spaces of group $$C^*$$-algebras. Zbl 0923.46054
Kaniuth, Eberhard; Schlichting, Günter; Taylor, Keith F.
1995
Proof of the Fukui conjecture via resolution of singularities and related methods. I. Zbl 1068.92048
Arimoto, Shigeru; Spivakovsky, Mark; Taylor, Keith F.; Mezey, Paul G.
2005
A finer aspect of eigenvalue distribution of selfadjoint band Toeplitz matrices. Zbl 1020.15007
Zizler, Peter; Zuidwijk, Rob A.; Taylor, Keith F.; Arimoto, Shigeru
2002
Wavelets with crystal symmetry shifts. Zbl 1231.42040
MacArthur, Joshua; Taylor, Keith F.
2011
Extensions of the Heisenberg group and wavelet analysis in the plane. Zbl 1100.42501
Schulz, Eckart; Taylor, Keith F.
1999
Riemann-Lebesgue subsets of $$\mathbb{R}^n$$ and representations which vanish at infinity. Zbl 0383.22010
Baggett, Larry; Taylor, Keith F.
1978
Minimal projections in $$L^ 1$$-algebras and open points in the dual spaces of semi-direct product groups. Zbl 0854.43003
Kaniuth, Eberhard; Taylor, Keith F.
1996
Projections in $$C^*$$-algebras of nilpotent groups. Zbl 0678.43005
Kaniuth, Eberhard; Taylor, Keith F.
1989
Proof of the Fukui conjecture via resolution of singularities and related methods. II. Zbl 1075.92055
Arimoto, Shigeru; Spivakovsky, Mark; Taylor, Keith F.; Mezey, Paul G.
2005
Kazhdan constants and the dual space topology. Zbl 0787.22006
Kaniuth, Eberhard; Taylor, Keith F.
1992
Integrable wavelet transforms with abelian dilation groups. Zbl 1358.42032
Currey, B.; Führ, H.; Taylor, K.
2016
The type structure of the regular representation of a locally compact group. Zbl 0318.43005
Taylor, Keith F.
1976
Explicit cross-sections of singly generated group actions. Zbl 1129.42437
Larson, David; Schulz, Eckart; Speegle, Darrin; Taylor, Keith F.
2006
Images of the continuous wavelet transform. Zbl 1312.42039
Ghandehari, Mahya; Taylor, Keith F.
2014
Proof of the Fukui conjecture via resolution of singularities and related methods. IV. Zbl 1262.92072
Arimoto, Shigeru; Spivakovsky, Mark; Taylor, Keith F.; Mezey, Paul G.
2010
Proof of the Fukui conjecture via resolution of singularities and related methods. V. Zbl 1262.92073
Arimoto, Shigeru; Spivakovsky, Mark; Yoshida, Eiji; Taylor, Keith F.; Mezey, Paul G.
2011
Group representations which vanish at infinity. Zbl 0442.22004
Taylor, Keith F.
1980
On asymptotic behavior of induced representations. Zbl 0443.22007
Baggett, Larry; Taylor, Keith F.
1982
Multiresolution analysis and Haar-like wavelet bases on locally compact groups. (Multiresolution analysis and Harr-like wavelet bases on locally compact groups.) Zbl 1260.42029
Yang, Qingde; Taylor, Keith F.
2012
On continuity of the index of subfactors of a finite factor. Zbl 0641.46035
Mashhood, Bahman; Taylor, Keith F.
1988
Differentiability of the norm in von Neumann algebras. Zbl 0805.46060
Taylor, Keith F.; Werner, Wend
1993
Differentiability of the norm in $$C^*$$-algebras. Zbl 1055.46510
Taylor, Keith F.; Werner, Wend
1994
The Courant-Fischer theorem and the spectrum of selfadjoint block band Toeplitz operators. Zbl 0903.47020
Zizler, Peter; Taylor, Keith F.; Arimoto, Shigeru
1997
A four dimensional continuous wavelet transform. Zbl 1325.42039
Ghandehari, Mahya; Syzdykova, Aizhan; Taylor, Keith F.
2013
A metric space associated with a probability space. Zbl 0770.28001
Taylor, Keith F.; Wang, Xikui
1993
C*-algebras of crystal groups. Zbl 0691.46040
Taylor, Keith F.
1989
Supremum norm differentiability. Zbl 0545.46028
Leonard, I. E.; Taylor, K. F.
1983
Essential supremum norm differentiability. Zbl 0593.46016
Leonard, I. E.; Taylor, K. F.
1985
Projections in $$L^1$$-algebras and tight frames. Zbl 1061.43006
Schulz, Eckart; Taylor, Keith F.
2004
Groups with atomic regular representation. Zbl 1205.22004
Taylor, Keith F.
2008
Compact open sets in dual spaces and projections in group algebras of $$[FC]^{-}$$ groups. Zbl 1247.43007
Kaniuth, Eberhard; Taylor, Keith F.
2012
Integrable wavelet transforms with abelian dilation groups. Zbl 1358.42032
Currey, B.; Führ, H.; Taylor, K.
2016
Images of the continuous wavelet transform. Zbl 1312.42039
Ghandehari, Mahya; Taylor, Keith F.
2014
Induced representations of locally compact groups. Zbl 1263.22005
Kaniuth, Eberhard; Taylor, Keith F.
2013
A four dimensional continuous wavelet transform. Zbl 1325.42039
Ghandehari, Mahya; Syzdykova, Aizhan; Taylor, Keith F.
2013
Multiresolution analysis and Haar-like wavelet bases on locally compact groups. (Multiresolution analysis and Harr-like wavelet bases on locally compact groups.) Zbl 1260.42029
Yang, Qingde; Taylor, Keith F.
2012
Compact open sets in dual spaces and projections in group algebras of $$[FC]^{-}$$ groups. Zbl 1247.43007
Kaniuth, Eberhard; Taylor, Keith F.
2012
Wavelets with crystal symmetry shifts. Zbl 1231.42040
MacArthur, Joshua; Taylor, Keith F.
2011
Proof of the Fukui conjecture via resolution of singularities and related methods. V. Zbl 1262.92073
Arimoto, Shigeru; Spivakovsky, Mark; Yoshida, Eiji; Taylor, Keith F.; Mezey, Paul G.
2011
Proof of the Fukui conjecture via resolution of singularities and related methods. IV. Zbl 1262.92072
Arimoto, Shigeru; Spivakovsky, Mark; Taylor, Keith F.; Mezey, Paul G.
2010
Groups with atomic regular representation. Zbl 1205.22004
Taylor, Keith F.
2008
Explicit cross-sections of singly generated group actions. Zbl 1129.42437
Larson, David; Schulz, Eckart; Speegle, Darrin; Taylor, Keith F.
2006
Proof of the Fukui conjecture via resolution of singularities and related methods. I. Zbl 1068.92048
Arimoto, Shigeru; Spivakovsky, Mark; Taylor, Keith F.; Mezey, Paul G.
2005
Proof of the Fukui conjecture via resolution of singularities and related methods. II. Zbl 1075.92055
Arimoto, Shigeru; Spivakovsky, Mark; Taylor, Keith F.; Mezey, Paul G.
2005
Projections in $$L^1$$-algebras and tight frames. Zbl 1061.43006
Schulz, Eckart; Taylor, Keith F.
2004
A finer aspect of eigenvalue distribution of selfadjoint band Toeplitz matrices. Zbl 1020.15007
Zizler, Peter; Zuidwijk, Rob A.; Taylor, Keith F.; Arimoto, Shigeru
2002
A direct integral decomposition of the wavelet representation. Zbl 0976.65125
Lim, Lek-Heng; Packer, Judith A.; Taylor, Keith F.
2001
Extensions of the Heisenberg group and wavelet analysis in the plane. Zbl 1100.42501
Schulz, Eckart; Taylor, Keith F.
1999
The Courant-Fischer theorem and the spectrum of selfadjoint block band Toeplitz operators. Zbl 0903.47020
Zizler, Peter; Taylor, Keith F.; Arimoto, Shigeru
1997
Wavelets from square-integrable representations. Zbl 0843.42018
Bernier, David; Taylor, Keith F.
1996
Minimal projections in $$L^ 1$$-algebras and open points in the dual spaces of semi-direct product groups. Zbl 0854.43003
Kaniuth, Eberhard; Taylor, Keith F.
1996
Minimal primal and Glimm ideal spaces of group $$C^*$$-algebras. Zbl 0923.46054
Kaniuth, Eberhard; Schlichting, Günter; Taylor, Keith F.
1995
Differentiability of the norm in $$C^*$$-algebras. Zbl 1055.46510
Taylor, Keith F.; Werner, Wend
1994
Differentiability of the norm in von Neumann algebras. Zbl 0805.46060
Taylor, Keith F.; Werner, Wend
1993
A metric space associated with a probability space. Zbl 0770.28001
Taylor, Keith F.; Wang, Xikui
1993
Compact open sets in duals and projections in $$L^ 1$$-algebras of certain semi-direct product groups. Zbl 0763.43004
Gröchenig, Karlheinz; Kaniuth, Eberhard; Taylor, Keith F.
1992
Kazhdan constants and the dual space topology. Zbl 0787.22006
Kaniuth, Eberhard; Taylor, Keith F.
1992
Projections in $$C^*$$-algebras of nilpotent groups. Zbl 0678.43005
Kaniuth, Eberhard; Taylor, Keith F.
1989
C*-algebras of crystal groups. Zbl 0691.46040
Taylor, Keith F.
1989
On continuity of the index of subfactors of a finite factor. Zbl 0641.46035
Mashhood, Bahman; Taylor, Keith F.
1988
Convergence of lattice sums and Madelung’s constant. Zbl 0587.40007
Borwein, David; Borwein, Jonathan M.; Taylor, Keith F.
1985
Essential supremum norm differentiability. Zbl 0593.46016
Leonard, I. E.; Taylor, K. F.
1985
Geometry of the Fourier algebras and locally compact groups with atomic unitary representations. Zbl 0488.43009
Taylor, Keith F.
1983
Supremum norm differentiability. Zbl 0545.46028
Leonard, I. E.; Taylor, K. F.
1983
On asymptotic behavior of induced representations. Zbl 0443.22007
Baggett, Larry; Taylor, Keith F.
1982
Group representations which vanish at infinity. Zbl 0442.22004
Taylor, Keith F.
1980
A sufficient condition for the complete reducibility of the regular representation. Zbl 0425.22007
Baggett, Larry; Taylor, Keith
1979
Groups with completely reducible regular representation. Zbl 0403.22007
Baggett, Larry; Taylor, Keith
1978
Riemann-Lebesgue subsets of $$\mathbb{R}^n$$ and representations which vanish at infinity. Zbl 0383.22010
Baggett, Larry; Taylor, Keith F.
1978
The type structure of the regular representation of a locally compact group. Zbl 0318.43005
Taylor, Keith F.
1976
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### Cited by 242 Authors

 17 Kaniuth, Eberhard 13 Führ, Hartmut 12 Taylor, Keith Frederick 10 Arimoto, Shigeru 9 Lau, Anthony To-Ming 8 Archbold, Robert J. 6 Dutkay, Dorin Ervin 6 Somerset, Douglas W. B. 5 Baggett, Lawrence Wasson 5 Böttcher, Albrecht 5 Grudsky, Sergei Mikhailovich 5 Spronk, Nico 4 De Vito, Ernesto 4 Ghandehari, Mahya 4 Jørgensen, Palle E. T. 4 Kamyabi-Gol, Rajab Ali 4 Ludwig, Jean 4 Maksimenko, Egor A. 4 Merrill, Kathy D. 4 Spivakovsky, Mark 4 van Velthoven, Jordy Timo 4 Voigtlaender, Felix 3 Aniello, Paolo 3 Berge, Eirik 3 Bogoya, Johan M. 3 Currey, Bradley Norton III 3 Dahlke, Stephan 3 De Mari, Filippo 3 Farashahi, Arash Ghaani 3 Gröchenig, Karlheinz 3 Kalantar, Mehrdad 3 Kisil, Vladimir V. 3 Lee, Hun Hee 3 Mezey, Paul G. 3 Oussa, Vignon 3 Packer, Judith A. 3 Schlichting, Günter 3 Teschke, Gerd 3 Ulger, Ali 2 Amini, Massoud 2 Arnal, Didier 2 Bekka, Mohammed el Bachir 2 Cassinelli, Gianni 2 Chou, Ching 2 Christensen, Jens Gerlach 2 Dadarlat, Marius 2 Dali, Béchir 2 Kumar, Raj 2 Levrero, Alberto 2 Luef, Franz 2 Mah, Peter F. 2 Medghalchi, Ali Reza 2 Mollakhalili, Ahmad 2 Molter, Ursula Maria 2 Moure, María del Carmen 2 Namngam, Kampanat 2 Neufang, Matthias 2 Nowak, Krzysztof 2 Ólafsson, Gestur 2 Quintero, Alejandro 2 Rabe, Hermann 2 Ran, André C. M. 2 Rauch, Jeffrey B. 2 Rogers, Mathew D. 2 Samei, Ebrahim 2 Satyapriya 2 Schulz, Eckart 2 Scott, Larkin Ridgway 2 Silvestrov, Sergei D. 2 Skrettingland, Eirik 2 Steidl, Gabriele 2 Tanko, Zsolt 2 Valette, Alain 2 Yoshida, Eiji 2 Zare, Masoumeh 1 Al Ameer, Amerah A. 1 Alaghmandan, Mahmood 1 Almalki, Fadhel 1 Amiri, Zahra 1 Antoine, Jean-Pierre 1 Arefijamaal, Ali Akbar 1 Baker, A. David 1 Baker, Mark D. 1 Bami, Mahmood Lashkarizadeh 1 Batalshchikov, A. A. 1 Béguin, Cédric 1 Benedetto, John Joseph 1 Benedetto, Robert L. 1 Berge, Stine Marie 1 Berndt, Bruce Carl 1 Blanchard, Jeffrey D. 1 Borwein, David 1 Borwein, Jonathan Michael 1 Bourget, Alain 1 Bruna Floris, Joaquim 1 Burrows, Antony 1 Candès, Emmanuel J. 1 Caprace, Pierre-Emmanuel 1 Cárcamo, Javier 1 Cheng, Michael Yin-Hei ...and 142 more Authors
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### Cited in 85 Serials

 16 Journal of Functional Analysis 14 Transactions of the American Mathematical Society 12 Proceedings of the American Mathematical Society 11 The Journal of Fourier Analysis and Applications 11 Journal of Mathematical Chemistry 9 Journal of Mathematical Analysis and Applications 7 Advances in Mathematics 6 Applied and Computational Harmonic Analysis 5 Journal of Mathematical Physics 5 Integral Equations and Operator Theory 4 The Journal of Geometric Analysis 3 Numerical Functional Analysis and Optimization 3 Linear Algebra and its Applications 3 Journal of Lie Theory 3 International Journal of Wavelets, Multiresolution and Information Processing 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Computational Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Studia Mathematica 2 Colloquium Mathematicum 2 Journal of Approximation Theory 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 International Journal of Mathematics 2 Integral Transforms and Special Functions 1 Bulletin of the Australian Mathematical Society 1 Houston Journal of Mathematics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Reports on Mathematical Physics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Collectanea Mathematica 1 Compositio Mathematica 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of Soviet Mathematics 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 Forum Mathematicum 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Experimental Mathematics 1 Georgian Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Theory and Applications of Categories 1 Bernoulli 1 Transformation Groups 1 Journal of Applied Analysis 1 The Ramanujan Journal 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Fixed Point Theory and Applications 1 The Australian Journal of Mathematical Analysis and Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Communications in Mathematical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 European Journal of Pure and Applied Mathematics 1 Banach Journal of Mathematical Analysis 1 Journal of Pseudo-Differential Operators and Applications 1 Analysis and Mathematical Physics 1 Complex Analysis and its Synergies 1 Journal of Linear and Topological Algebra 1 Wavelets and Linear Algebra
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### Cited in 42 Fields

 81 Topological groups, Lie groups (22-XX) 70 Abstract harmonic analysis (43-XX) 67 Harmonic analysis on Euclidean spaces (42-XX) 60 Functional analysis (46-XX) 31 Operator theory (47-XX) 16 Numerical analysis (65-XX) 14 Group theory and generalizations (20-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 12 Biology and other natural sciences (92-XX) 11 Quantum theory (81-XX) 7 Information and communication theory, circuits (94-XX) 6 Number theory (11-XX) 6 Measure and integration (28-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Special functions (33-XX) 4 Sequences, series, summability (40-XX) 4 Integral transforms, operational calculus (44-XX) 4 General topology (54-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 $$K$$-theory (19-XX) 3 Partial differential equations (35-XX) 3 Approximations and expansions (41-XX) 3 Convex and discrete geometry (52-XX) 3 Probability theory and stochastic processes (60-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX)