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Lesch, Matthias

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Author ID: lesch.matthias Recent zbMATH articles by "Lesch, Matthias"
Published as: Lesch, M.; Lesch, Matthias
External Links: MGP · Wikidata · GND
Documents Indexed: 58 Publications since 1988, including 8 Books
Reviewing Activity: 12 Reviews

Publications by Year

Citations contained in zbMATH

47 Publications have been cited 729 times in 486 Documents Cited by Year
Hilbert complexes. Zbl 0826.46065
Brüning, J.; Lesch, M.
73
1992
Operators of Fuchs type, conical singularitites, and asymptotic methods. Zbl 1156.58302
Lesch, Matthias
65
1997
On the deficiency indices and self-adjointness of symmetric Hamiltonian systems. Zbl 1016.37026
Lesch, Matthias; Malamud, Mark
64
2003
On the noncommutative residue for pseudodifferential operators with log-polyhomogeneous symbols. Zbl 0920.58047
Lesch, Matthias
49
1999
The \(\eta\)-invariant Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary. Zbl 1082.58021
Kirk, Paul; Lesch, Matthias
39
2004
Unbounded Fredholm operators and spectral flow. Zbl 1085.58018
Booss-Bavnbek, Bernhelm; Lesch, Matthias; Phillips, John
35
2005
Determinats of regular singular Sturm-Liouville operators. Zbl 0924.58107
Lesch, Matthias
25
1998
Kähler-Hodge theory for conformal complex cones. Zbl 0795.58003
Brüning, J.; Lesch, M.
25
1993
A local global principle for regular operators in Hilbert \(C^*\)-modules. Zbl 1251.46030
Kaad, Jens; Lesch, Matthias
24
2012
On the \(\eta\)-invariant of certain nonlocal boundary value problems. Zbl 0956.58014
Brüning, Jochen; Lesch, Matthias
23
1999
Spectral flow and the unbounded Kasparov product. Zbl 1294.19001
Kaad, Jens; Lesch, Matthias
20
2013
The uniqueness of the spectral flow on spaces of unbounded self-adjoint Fredholm operators. Zbl 1085.58019
Lesch, Matthias
20
2005
Modular curvature and Morita equivalence. Zbl 1375.46053
Lesch, Matthias; Moscovici, Henri
19
2016
Connes-Chern character for manifolds with boundary and eta cochains. Zbl 1296.58014
Lesch, Matthias; Moscovici, Henri; Pflaum, Markus J.
18
2012
The Calderón projection: New definition and applications. Zbl 1221.58016
Booß-Bavnbek, Bernhelm; Lesch, Matthias; Zhu, Chaofeng
18
2009
On the determinant of one-dimensional elliptic boundary value problems. Zbl 0920.47046
Lesch, Matthias; Tolksdorf, Jürgen
16
1998
On boundary value problems for Dirac type operators. I: Regularity and self-adjointness. Zbl 1023.58013
Brüning, Jochen; Lesch, Matthias
15
2001
On the \(\eta\)-invariant of generalized Atiyah-Patodi-Singer boundary value problems. Zbl 0866.58054
Lesch, Matthias; Wojciechowski, Krzysztof P.
15
1996
The inverse spectral problem for first order systems on the half line. Zbl 0956.34072
Lesch, Matthias; Malamud, Mark M.
14
2000
Regular singular Sturm-Liouville operators and their zeta-determinants. Zbl 1230.34077
Lesch, Matthias; Vertman, Boris
13
2011
Deficiency indices for symmetric Dirac operators on manifolds with conic singularities. Zbl 0790.58046
Lesch, Matthias
12
1993
A gluing formula for the analytic torsion on singular spaces. Zbl 1276.58010
Lesch, Matthias
10
2013
On the spectral geometry of algebraic curves. Zbl 0846.14018
Brüning, Jochen; Lesch, Matthias
10
1996
Divided differences in noncommutative geometry: rearrangement lemma, functional calculus and expansional formula. Zbl 1373.46067
Lesch, Matthias
9
2017
Classification of traces and hypertraces on spaces of classical pseudodifferential operators. Zbl 1272.58015
Lesch, Matthias; Jiménez, Carolina Neira
9
2013
On the \(L^{2}\)-Stokes theorem and Hodge theory for singular algebraic varieties. Zbl 1034.58019
Grieser, Daniel; Lesch, Matthias
9
2002
On index formulas for manifolds with metric horns. Zbl 0906.58049
Lesch, Matthias; Peyerimhoff, Norbert
8
1998
The invertible double of elliptic operators. Zbl 1161.58312
Booss-Bavnbek, Bernhelm; Lesch, Matthias
7
2009
Calderón projector for the Hessian of the perturbed Chern-Simons function on a 3-manifold with boundary. Zbl 1082.58023
Himpel, Benjamin; Kirk, Paul; Lesch, Matthias
6
2004
Traces on algebras of parameter dependent pseudodifferential operators and the eta-invariant. Zbl 0968.58024
Lesch, Matthias; Pflaum, Markus J.
6
2000
On the index of the infinitesimal generator of a flow. Zbl 0784.46041
Lesch, Matthias
6
1991
Perturbation of sectorial projections of elliptic pseudo-differential operators. Zbl 1257.58017
Booß-Bavnbek, Bernhelm; Chen, Guoyuan; Lesch, Matthias; Zhu, Chaofeng
5
2012
Pseudodifferential operators and regularized traces. Zbl 1218.58018
Lesch, Matthias
5
2010
Spectral theory of boundary value problems for Dirac type operators. Zbl 0945.58026
Brüning, Jochen; Lesch, Matthias
5
1999
Sums of regular self-adjoint operators in Hilbert-\(C^{\ast}\)-modules. Zbl 07056463
Lesch, Matthias; Mesland, Bram
4
2019
Regularizing infinite sums of zeta-determinants. Zbl 1314.58020
Lesch, Matthias; Vertman, Boris
4
2015
Relative pairing in cyclic cohomology and divisor flows. Zbl 1175.46066
Lesch, Matthias; Moscovici, Henri; Pflaum, Markus J.
4
2009
Essential self-adjointness of symmetric linear relations associated to first order systems. Zbl 1023.47015
Lesch, Matthias
4
2000
Zeta-determinants of Sturm-Liouville operators with quadratic potentials at infinity. Zbl 1371.58021
Hartmann, Luiz; Lesch, Matthias; Vertman, Boris
3
2017
On the spectral flow for Dirac operators with local boundary conditions. Zbl 1325.58014
Gorokhovsky, Alexander; Lesch, Matthias
3
2015
Regularized traces and \(K\)-theory invariants of parametric pseudodifferential operators. Zbl 1159.46039
Lesch, Matthias; Moscovici, Henri; Pflaum, Markus J.
3
2008
A singular elliptic estimate and applications. Zbl 0822.58047
Lesch, Matthias
2
1994
Modular Gaussian curvature. Zbl 1443.58008
Lesch, Matthias; Moscovici, Henri
1
2019
On the domain of Dirac and Laplace type operators on stratified spaces. Zbl 1405.35056
Hartmann, Luiz; Lesch, Matthias; Vertman, Boris
1
2018
Noncommutative geometry and global analysis. Conference in honor of Henri Moscovici, Bonn, Germany, June 29–July 4, 2009. Zbl 1218.00012
Connes, Alain (ed.); Gorokhovsky, Alexander (ed.); Lesch, Matthias (ed.); Pflaum, Markus (ed.); Rnagipour, Bahram (ed.)
1
2011
New paths towards quantum gravity. Extended proceedings of the summer school, Holbæk, Denmark, May 12–16, 2008. Zbl 1202.83004
Booß-Bavnbek, Bernhelm (ed.); Esposito, Giampiero (ed.); Lesch, Matthias (ed.)
1
2010
On the deficiency indices of Hamiltonian systems. Zbl 1053.47042
Lesch, M.; Malamud, M. M.
1
2001
Sums of regular self-adjoint operators in Hilbert-\(C^{\ast}\)-modules. Zbl 07056463
Lesch, Matthias; Mesland, Bram
4
2019
Modular Gaussian curvature. Zbl 1443.58008
Lesch, Matthias; Moscovici, Henri
1
2019
On the domain of Dirac and Laplace type operators on stratified spaces. Zbl 1405.35056
Hartmann, Luiz; Lesch, Matthias; Vertman, Boris
1
2018
Divided differences in noncommutative geometry: rearrangement lemma, functional calculus and expansional formula. Zbl 1373.46067
Lesch, Matthias
9
2017
Zeta-determinants of Sturm-Liouville operators with quadratic potentials at infinity. Zbl 1371.58021
Hartmann, Luiz; Lesch, Matthias; Vertman, Boris
3
2017
Modular curvature and Morita equivalence. Zbl 1375.46053
Lesch, Matthias; Moscovici, Henri
19
2016
Regularizing infinite sums of zeta-determinants. Zbl 1314.58020
Lesch, Matthias; Vertman, Boris
4
2015
On the spectral flow for Dirac operators with local boundary conditions. Zbl 1325.58014
Gorokhovsky, Alexander; Lesch, Matthias
3
2015
Spectral flow and the unbounded Kasparov product. Zbl 1294.19001
Kaad, Jens; Lesch, Matthias
20
2013
A gluing formula for the analytic torsion on singular spaces. Zbl 1276.58010
Lesch, Matthias
10
2013
Classification of traces and hypertraces on spaces of classical pseudodifferential operators. Zbl 1272.58015
Lesch, Matthias; Jiménez, Carolina Neira
9
2013
A local global principle for regular operators in Hilbert \(C^*\)-modules. Zbl 1251.46030
Kaad, Jens; Lesch, Matthias
24
2012
Connes-Chern character for manifolds with boundary and eta cochains. Zbl 1296.58014
Lesch, Matthias; Moscovici, Henri; Pflaum, Markus J.
18
2012
Perturbation of sectorial projections of elliptic pseudo-differential operators. Zbl 1257.58017
Booß-Bavnbek, Bernhelm; Chen, Guoyuan; Lesch, Matthias; Zhu, Chaofeng
5
2012
Regular singular Sturm-Liouville operators and their zeta-determinants. Zbl 1230.34077
Lesch, Matthias; Vertman, Boris
13
2011
Noncommutative geometry and global analysis. Conference in honor of Henri Moscovici, Bonn, Germany, June 29–July 4, 2009. Zbl 1218.00012
Connes, Alain (ed.); Gorokhovsky, Alexander (ed.); Lesch, Matthias (ed.); Pflaum, Markus (ed.); Rnagipour, Bahram (ed.)
1
2011
Pseudodifferential operators and regularized traces. Zbl 1218.58018
Lesch, Matthias
5
2010
New paths towards quantum gravity. Extended proceedings of the summer school, Holbæk, Denmark, May 12–16, 2008. Zbl 1202.83004
Booß-Bavnbek, Bernhelm (ed.); Esposito, Giampiero (ed.); Lesch, Matthias (ed.)
1
2010
The Calderón projection: New definition and applications. Zbl 1221.58016
Booß-Bavnbek, Bernhelm; Lesch, Matthias; Zhu, Chaofeng
18
2009
The invertible double of elliptic operators. Zbl 1161.58312
Booss-Bavnbek, Bernhelm; Lesch, Matthias
7
2009
Relative pairing in cyclic cohomology and divisor flows. Zbl 1175.46066
Lesch, Matthias; Moscovici, Henri; Pflaum, Markus J.
4
2009
Regularized traces and \(K\)-theory invariants of parametric pseudodifferential operators. Zbl 1159.46039
Lesch, Matthias; Moscovici, Henri; Pflaum, Markus J.
3
2008
Unbounded Fredholm operators and spectral flow. Zbl 1085.58018
Booss-Bavnbek, Bernhelm; Lesch, Matthias; Phillips, John
35
2005
The uniqueness of the spectral flow on spaces of unbounded self-adjoint Fredholm operators. Zbl 1085.58019
Lesch, Matthias
20
2005
The \(\eta\)-invariant Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary. Zbl 1082.58021
Kirk, Paul; Lesch, Matthias
39
2004
Calderón projector for the Hessian of the perturbed Chern-Simons function on a 3-manifold with boundary. Zbl 1082.58023
Himpel, Benjamin; Kirk, Paul; Lesch, Matthias
6
2004
On the deficiency indices and self-adjointness of symmetric Hamiltonian systems. Zbl 1016.37026
Lesch, Matthias; Malamud, Mark
64
2003
On the \(L^{2}\)-Stokes theorem and Hodge theory for singular algebraic varieties. Zbl 1034.58019
Grieser, Daniel; Lesch, Matthias
9
2002
On boundary value problems for Dirac type operators. I: Regularity and self-adjointness. Zbl 1023.58013
Brüning, Jochen; Lesch, Matthias
15
2001
On the deficiency indices of Hamiltonian systems. Zbl 1053.47042
Lesch, M.; Malamud, M. M.
1
2001
The inverse spectral problem for first order systems on the half line. Zbl 0956.34072
Lesch, Matthias; Malamud, Mark M.
14
2000
Traces on algebras of parameter dependent pseudodifferential operators and the eta-invariant. Zbl 0968.58024
Lesch, Matthias; Pflaum, Markus J.
6
2000
Essential self-adjointness of symmetric linear relations associated to first order systems. Zbl 1023.47015
Lesch, Matthias
4
2000
On the noncommutative residue for pseudodifferential operators with log-polyhomogeneous symbols. Zbl 0920.58047
Lesch, Matthias
49
1999
On the \(\eta\)-invariant of certain nonlocal boundary value problems. Zbl 0956.58014
Brüning, Jochen; Lesch, Matthias
23
1999
Spectral theory of boundary value problems for Dirac type operators. Zbl 0945.58026
Brüning, Jochen; Lesch, Matthias
5
1999
Determinats of regular singular Sturm-Liouville operators. Zbl 0924.58107
Lesch, Matthias
25
1998
On the determinant of one-dimensional elliptic boundary value problems. Zbl 0920.47046
Lesch, Matthias; Tolksdorf, Jürgen
16
1998
On index formulas for manifolds with metric horns. Zbl 0906.58049
Lesch, Matthias; Peyerimhoff, Norbert
8
1998
Operators of Fuchs type, conical singularitites, and asymptotic methods. Zbl 1156.58302
Lesch, Matthias
65
1997
On the \(\eta\)-invariant of generalized Atiyah-Patodi-Singer boundary value problems. Zbl 0866.58054
Lesch, Matthias; Wojciechowski, Krzysztof P.
15
1996
On the spectral geometry of algebraic curves. Zbl 0846.14018
Brüning, Jochen; Lesch, Matthias
10
1996
A singular elliptic estimate and applications. Zbl 0822.58047
Lesch, Matthias
2
1994
Kähler-Hodge theory for conformal complex cones. Zbl 0795.58003
Brüning, J.; Lesch, M.
25
1993
Deficiency indices for symmetric Dirac operators on manifolds with conic singularities. Zbl 0790.58046
Lesch, Matthias
12
1993
Hilbert complexes. Zbl 0826.46065
Brüning, J.; Lesch, M.
73
1992
On the index of the infinitesimal generator of a flow. Zbl 0784.46041
Lesch, Matthias
6
1991
all top 5

Cited by 437 Authors

22 Lesch, Matthias
18 Vertman, Boris
13 Ludwig, Ursula Beate
12 Park, Jinsung
12 Rennie, Adam
11 Gesztesy, Fritz
11 Loya, Paul A.
11 Paycha, Sylvie
11 Ponge, Raphaël S.
11 Sukochev, Fedor Anatol’evich
10 Bei, Francesco
10 Schrohe, Elmar
9 Kaad, Jens
9 Malamud, Mark M.
9 Mesland, Bram
9 Mogilevskii, Vadim
8 Carey, Alan L.
8 Kirsten, Klaus
8 Krainer, Thomas
8 Lee, Yoonweon
8 Moroianu, Sergiu
8 Qi, Jiangang
8 Shi, Yuming
7 Booss-Bavnbek, Bernhelm
7 Kostenko, Aleksey S.
7 Ren, Guojing
6 Albeverio, Sergio A.
6 Goffeng, Magnus
6 Huang, Rung-Tzung
6 Mendoza, Gerardo A.
6 Piazza, Paolo
6 Portaluri, Alessandro
6 Roidos, Nikolaos
6 Sun, Huaqing
6 Teschl, Gerald
5 Brüning, Jochen
5 Fathizadeh, Farzad
5 Gil, Juan B.
5 Hu, Xijun
5 Khalkhali, Masoud
5 Moscovici, Henri
5 Nistor, Victor
5 Seiler, Jörg
5 Spreafico, Mauro
5 van den Dungen, Koenraad Lambertus
5 Waterstraat, Nils
5 Zemánek, Petr
5 Zhu, Chaofeng
4 Allahverdiev, Bilender Paşaoğlu
4 Bourne, Chris
4 Braverman, Maxim
4 Carron, Gilles
4 Chakrabarti, Debraj
4 Dai, Xianzhe
4 Daletskii, Alexei
4 Eckhardt, Jonathan
4 Hartmann, Luiz
4 Haskell, Peter
4 Le Treust, Loïc
4 Magnot, Jean-Pierre
4 Scott, Simon G.
3 Albin, Pierre
3 Arrizabalaga, Naiara
3 Chen, Qun
3 Clark, Stephen L.
3 Deeley, Robin J.
3 Ducourtioux, Catherine
3 Elmrabty, Adnane
3 Fox, Jeffrey J.
3 Gorokhovsky, Alexander
3 Grubb, Gerd
3 Ha, Hyunsu
3 Hassi, Seppo
3 Hunsicker, Eugenie
3 Iochum, Bruno
3 Jost, Jürgen
3 Kirk, Paul A.
3 Latushkin, Yuri
3 Lee, Gihyun
3 Levitina, Galina
3 Pflaum, Markus J.
3 Phillips, John
3 Potapov, Denis
3 Raymond, Nicolas
3 Rochon, Frédéric
3 Shaw, Mei-Chi
3 Stern, Ari
3 Ugurlu, Ekin
3 van Suijlekom, Walter Daniël
3 Wahl, Charlotte
3 Wojciechowski, Krzysztof P.
3 Zhang, Weiping
3 Zheng, Zhaowen
2 Aldana, Clara L.
2 Anné, Colette
2 Azamov, Nurulla A.
2 Azzali, Sara
2 Bachelot, Alain
2 Ballmann, Hans Werner
2 Bandara, Lashi
...and 337 more Authors
all top 5

Cited in 127 Serials

27 Journal of Geometry and Physics
26 Journal of Functional Analysis
22 Advances in Mathematics
18 Communications in Mathematical Physics
18 Journal of Mathematical Analysis and Applications
17 Transactions of the American Mathematical Society
16 Proceedings of the American Mathematical Society
13 Journal of Mathematical Physics
12 Journal of Differential Equations
11 The Journal of Geometric Analysis
11 Communications in Partial Differential Equations
11 Annales Henri Poincaré
11 Journal of Noncommutative Geometry
10 Integral Equations and Operator Theory
10 International Journal of Mathematics
8 Mathematische Annalen
8 Mathematische Zeitschrift
8 Annals of Global Analysis and Geometry
7 Letters in Mathematical Physics
7 Mathematische Nachrichten
7 Geometry & Topology
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Annales de l’Institut Fourier
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Calculus of Variations and Partial Differential Equations
5 Journal of Topology and Analysis
4 Journal d’Analyse Mathématique
4 Duke Mathematical Journal
4 Journal für die Reine und Angewandte Mathematik
4 Geometric and Functional Analysis. GAFA
4 Linear Algebra and its Applications
4 Russian Journal of Mathematical Physics
4 Mathematical Physics, Analysis and Geometry
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Journal of Pseudo-Differential Operators and Applications
3 Proceedings of the London Mathematical Society. Third Series
3 Journal of Mathematical Sciences (New York)
3 Documenta Mathematica
3 Abstract and Applied Analysis
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Journal of High Energy Physics
3 Algebraic & Geometric Topology
3 Foundations of Computational Mathematics
3 Journal of the Australian Mathematical Society
3 Journal of Fixed Point Theory and Applications
2 Computers & Mathematics with Applications
2 Israel Journal of Mathematics
2 Applied Mathematics and Computation
2 Journal of Computational and Applied Mathematics
2 Manuscripta Mathematica
2 Memoirs of the American Mathematical Society
2 Michigan Mathematical Journal
2 Monatshefte für Mathematik
2 Topology and its Applications
2 Differential Geometry and its Applications
2 Bulletin des Sciences Mathématiques
2 Electronic Research Announcements of the American Mathematical Society
2 The Journal of Fourier Analysis and Applications
2 Doklady Mathematics
2 Journal of the European Mathematical Society (JEMS)
2 Acta Mathematica Sinica. English Series
2 Journal of Evolution Equations
2 Journal of \(K\)-Theory
2 Journal of Spectral Theory
2 Annales Mathématiques du Québec
2 Journal de l’École Polytechnique – Mathématiques
1 Applicable Analysis
1 Linear and Multilinear Algebra
1 Nonlinearity
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Dissertationes Mathematicae
1 Functional Analysis and its Applications
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Pure and Applied Algebra
1 Mathematika
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quaestiones Mathematicae
1 Quarterly of Applied Mathematics
1 Results in Mathematics
1 SIAM Journal on Numerical Analysis
1 Ergodic Theory and Dynamical Systems
1 \(K\)-Theory
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Bulletin of the American Mathematical Society. New Series
1 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Potential Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 St. Petersburg Mathematical Journal
1 Journal of Difference Equations and Applications
1 Boletín de la Sociedad Matemática Mexicana. Third Series
...and 27 more Serials
all top 5

Cited in 42 Fields

301 Global analysis, analysis on manifolds (58-XX)
119 Operator theory (47-XX)
96 Partial differential equations (35-XX)
85 Functional analysis (46-XX)
77 Ordinary differential equations (34-XX)
73 Differential geometry (53-XX)
47 Quantum theory (81-XX)
44 \(K\)-theory (19-XX)
33 Dynamical systems and ergodic theory (37-XX)
28 Manifolds and cell complexes (57-XX)
27 Several complex variables and analytic spaces (32-XX)
17 Algebraic geometry (14-XX)
14 Algebraic topology (55-XX)
11 Difference and functional equations (39-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Number theory (11-XX)
8 Topological groups, Lie groups (22-XX)
8 Numerical analysis (65-XX)
7 Probability theory and stochastic processes (60-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Relativity and gravitational theory (83-XX)
4 Associative rings and algebras (16-XX)
4 Functions of a complex variable (30-XX)
4 Potential theory (31-XX)
4 Special functions (33-XX)
4 Abstract harmonic analysis (43-XX)
4 Mechanics of particles and systems (70-XX)
3 Integral equations (45-XX)
2 Combinatorics (05-XX)
2 Commutative algebra (13-XX)
2 Approximations and expansions (41-XX)
2 Convex and discrete geometry (52-XX)
2 General topology (54-XX)
1 General and overarching topics; collections (00-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Information and communication theory, circuits (94-XX)

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