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Shiota, Masahiro

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Author ID: shiota.masahiro Recent zbMATH articles by "Shiota, Masahiro"
Published as: Shiota, Masahiro; Shiota, M.
External Links: ResearchGate
Documents Indexed: 73 Publications since 1973, including 2 Books

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 461 times in 323 Documents Cited by Year
Clarke subgradients of stratifiable functions. Zbl 1142.49006
Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian; Shiota, Masahiro
114
2007
Geometry of subanalytic and semialgebraic sets. Zbl 0889.32006
Shiota, Masahiro
54
1997
Nash manifolds. Zbl 0629.58002
Shiota, Masahiro
43
1987
Triangulations of subanalytic sets and locally subanalytic manifolds. Zbl 0527.57014
Shiota, M.; Yokoi, M.
18
1984
Nash triviality in families of Nash manifolds. Zbl 0801.14017
Coste, Michel; Shiota, Masahiro
16
1992
Approximation in compact Nash manifolds. Zbl 0873.32007
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
13
1995
Equivalence of differentiable mappings and analytic mappings. Zbl 0516.58012
Shiota, Masahiro
11
1981
Real algebraic realization of characteristic classes. Zbl 0518.14011
Shiota, Masahiro
10
1982
On equivalence of ideals of real global analytic functions and the 17th Hilbert problem. Zbl 0467.32003
Bochnak, Jacek; Kucharz, Wojciech; Shiota, Masahiro
9
1981
Classification of Nash manifolds. Zbl 0495.58001
Shiota, Masahiro
9
1983
Nash functions on noncompact Nash manifolds. Zbl 0981.14027
Coste, Michel; Shiota, Masahiro
9
2000
Thom’s first isotopy lemma: A semialgebraic version, with uniform bound. Zbl 0844.14025
Coste, Michel; Shiota, Masahiro
9
1995
Nash functions and manifolds. Zbl 0922.14038
Shiota, Masahiro
8
1996
Clarke critical values of subanalytic Lipschitz continuous functions. Zbl 1090.35033
Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian; Shiota, Masahiro
8
2005
On algebraicity of global real analytic sets and functions. Zbl 0502.32021
Bochnak, J.; Kucharz, W.; Shiota, M.
7
1982
The divisor class groups of some rings of global real analytic, Nash or rational regular functions. Zbl 0519.14019
Bochnak, Jacek; Kucharz, Wojciech; Shiota, Masahiro
7
1982
Approximation theorems for Nash mappings and Nash manifolds. Zbl 0601.58005
Shiota, Masahiro
7
1986
Equivalence of differentiable functions, rational functions and polynomials. Zbl 0466.58006
Shiota, Masahiro
6
1982
Sur la factorialité de l’anneau des fonctions lisses rationnelles. Zbl 0489.14013
Shiota, Masahiro
6
1981
Separation, factorization and finite sheaves on Nash manifolds. Zbl 0885.14029
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
6
1996
The finiteness property and Łojasiewicz inequality for global semianalytic sets. Zbl 1084.32006
Acquistapace, F.; Broglia, F.; Shiota, M.
6
2005
Piecewise linearization of real analytic functions. Zbl 0568.58004
Shiota, Masahiro
6
1984
Unique triangulation of the orbit space of a differentiable transformation group and its applications. Zbl 0657.57016
Matumoto, Takao; Shiota, Masahiro
6
1987
Abstract Nash manifolds. Zbl 0594.58006
Shiota, M.
6
1986
Uniform bounds on complexity and transfer of global properties of Nash functions. Zbl 0981.14028
Coste, Michel; Ruiz, Jesus M.; Shiota, Masahiro
6
2001
Geometry of subanalytic and semialgebraic sets: Abstract. Zbl 0870.32001
Shiota, Masahiro
5
1995
Transformation of germs of differentiable functions through changes of local coordinates. Zbl 0271.58003
Shiota, Masahiro
5
1973
Directional properties of sets definable in o-minimal structures. (Propriétés directionnelles d’ensembles définissable dans des structures o-minimales.) Zbl 1390.14181
Koike, Satoshi; Loi, Ta Lê; Paunescu, Laurentiu; Shiota, Masahiro
5
2013
Finiteness of semialgebraic types of polynomial functions. Zbl 0744.14034
Benedetti, Riccardo; Shiota, Masahiro
4
1991
On the unique factorization property of the ring of Nash functions. Zbl 0503.58001
Shiota, Masahiro
4
1981
Modified Nash triviality of a family of zero-sets of real polynomial mappings. Zbl 0940.14038
Fukui, Toshizumi; Koike, Satoshi; Shiota, Masahiro
4
1998
Global problems on Nash functions. Zbl 1056.14081
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
4
2004
Some results on formal power series and differentiable functions. Zbl 0338.13026
Shiota, Masahiro
3
1976
Whitney triangulations of semialgebraic sets. Zbl 1091.14016
Shiota, Masahiro
3
2005
\(C^1\)-triangulations of semialgebraic sets. Zbl 1376.14060
Ohmoto, Toru; Shiota, Masahiro
2
2017
Thom’s conjecture on triangulations of maps. Zbl 0934.57028
Shiota, Masahiro
2
2000
On global Nash functions. Zbl 0805.14027
Ruiz, Jesús M.; Shiota, Masahiro
2
1994
On germs of differentiable functions in two variables. Zbl 0278.57013
Shiota, Masahiro
2
1974
Piecewise linearization of subanalytic functions. II. Zbl 0716.32006
Shiota, Masahiro
2
1990
Extension et factorisation de fonctions de Nash \(C^{\omega}\). (Extension and factorization of \(C^{\omega}\) Nash functions). Zbl 0681.32006
Shiota, Masahiro
2
1989
Rings of analytic functions definable in o-minimal structure. Zbl 1028.03031
Fujita, M.; Shiota, M.
2
2003
Virtual Poincaré polynomial of the link of a real algebraic variety. Zbl 1316.14108
Fichou, Goulwen; Shiota, Masahiro
2
2013
O-minimal Hauptvermutung for polyhedra. I. Zbl 1333.57035
Shiota, Masahiro
1
2014
Sur la factorialite de l’anneau des fonctions analytiques. Zbl 0372.32009
Shiota, Masahiro
1
1977
Differentiable functions equivalent to analytic functions. Zbl 0271.58002
Shiota, Masahiro
1
1973
Non-smooth points set of fibres of a semialgebraic mapping. Zbl 1166.57017
Koike, Satoshi; Shiota, Masahiro
1
2007
Piecewise linearization of real-valued subanalytic functions. Zbl 0668.32009
Shiota, Masahiro
1
1989
Proper subanalytic transformation groups and unique triangulation of the orbit spaces. Zbl 0631.57027
Matumoto, Takao; Shiota, Masahiro
1
1986
On real algebraic links in \(S^3\). Zbl 0910.57010
Benedetti, R.; Shiota, M.
1
1998
Analytic and Nash equivalence relations of Nash maps. Zbl 1264.14076
Shiota, Masahiro
1
2010
\(C^1\)-triangulations of semialgebraic sets. Zbl 1376.14060
Ohmoto, Toru; Shiota, Masahiro
2
2017
O-minimal Hauptvermutung for polyhedra. I. Zbl 1333.57035
Shiota, Masahiro
1
2014
Directional properties of sets definable in o-minimal structures. (Propriétés directionnelles d’ensembles définissable dans des structures o-minimales.) Zbl 1390.14181
Koike, Satoshi; Loi, Ta Lê; Paunescu, Laurentiu; Shiota, Masahiro
5
2013
Virtual Poincaré polynomial of the link of a real algebraic variety. Zbl 1316.14108
Fichou, Goulwen; Shiota, Masahiro
2
2013
Analytic and Nash equivalence relations of Nash maps. Zbl 1264.14076
Shiota, Masahiro
1
2010
Clarke subgradients of stratifiable functions. Zbl 1142.49006
Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian; Shiota, Masahiro
114
2007
Non-smooth points set of fibres of a semialgebraic mapping. Zbl 1166.57017
Koike, Satoshi; Shiota, Masahiro
1
2007
Clarke critical values of subanalytic Lipschitz continuous functions. Zbl 1090.35033
Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian; Shiota, Masahiro
8
2005
The finiteness property and Łojasiewicz inequality for global semianalytic sets. Zbl 1084.32006
Acquistapace, F.; Broglia, F.; Shiota, M.
6
2005
Whitney triangulations of semialgebraic sets. Zbl 1091.14016
Shiota, Masahiro
3
2005
Global problems on Nash functions. Zbl 1056.14081
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
4
2004
Rings of analytic functions definable in o-minimal structure. Zbl 1028.03031
Fujita, M.; Shiota, M.
2
2003
Uniform bounds on complexity and transfer of global properties of Nash functions. Zbl 0981.14028
Coste, Michel; Ruiz, Jesus M.; Shiota, Masahiro
6
2001
Nash functions on noncompact Nash manifolds. Zbl 0981.14027
Coste, Michel; Shiota, Masahiro
9
2000
Thom’s conjecture on triangulations of maps. Zbl 0934.57028
Shiota, Masahiro
2
2000
Modified Nash triviality of a family of zero-sets of real polynomial mappings. Zbl 0940.14038
Fukui, Toshizumi; Koike, Satoshi; Shiota, Masahiro
4
1998
On real algebraic links in \(S^3\). Zbl 0910.57010
Benedetti, R.; Shiota, M.
1
1998
Geometry of subanalytic and semialgebraic sets. Zbl 0889.32006
Shiota, Masahiro
54
1997
Nash functions and manifolds. Zbl 0922.14038
Shiota, Masahiro
8
1996
Separation, factorization and finite sheaves on Nash manifolds. Zbl 0885.14029
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
6
1996
Approximation in compact Nash manifolds. Zbl 0873.32007
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
13
1995
Thom’s first isotopy lemma: A semialgebraic version, with uniform bound. Zbl 0844.14025
Coste, Michel; Shiota, Masahiro
9
1995
Geometry of subanalytic and semialgebraic sets: Abstract. Zbl 0870.32001
Shiota, Masahiro
5
1995
On global Nash functions. Zbl 0805.14027
Ruiz, Jesús M.; Shiota, Masahiro
2
1994
Nash triviality in families of Nash manifolds. Zbl 0801.14017
Coste, Michel; Shiota, Masahiro
16
1992
Finiteness of semialgebraic types of polynomial functions. Zbl 0744.14034
Benedetti, Riccardo; Shiota, Masahiro
4
1991
Piecewise linearization of subanalytic functions. II. Zbl 0716.32006
Shiota, Masahiro
2
1990
Extension et factorisation de fonctions de Nash \(C^{\omega}\). (Extension and factorization of \(C^{\omega}\) Nash functions). Zbl 0681.32006
Shiota, Masahiro
2
1989
Piecewise linearization of real-valued subanalytic functions. Zbl 0668.32009
Shiota, Masahiro
1
1989
Nash manifolds. Zbl 0629.58002
Shiota, Masahiro
43
1987
Unique triangulation of the orbit space of a differentiable transformation group and its applications. Zbl 0657.57016
Matumoto, Takao; Shiota, Masahiro
6
1987
Approximation theorems for Nash mappings and Nash manifolds. Zbl 0601.58005
Shiota, Masahiro
7
1986
Abstract Nash manifolds. Zbl 0594.58006
Shiota, M.
6
1986
Proper subanalytic transformation groups and unique triangulation of the orbit spaces. Zbl 0631.57027
Matumoto, Takao; Shiota, Masahiro
1
1986
Triangulations of subanalytic sets and locally subanalytic manifolds. Zbl 0527.57014
Shiota, M.; Yokoi, M.
18
1984
Piecewise linearization of real analytic functions. Zbl 0568.58004
Shiota, Masahiro
6
1984
Classification of Nash manifolds. Zbl 0495.58001
Shiota, Masahiro
9
1983
Real algebraic realization of characteristic classes. Zbl 0518.14011
Shiota, Masahiro
10
1982
On algebraicity of global real analytic sets and functions. Zbl 0502.32021
Bochnak, J.; Kucharz, W.; Shiota, M.
7
1982
The divisor class groups of some rings of global real analytic, Nash or rational regular functions. Zbl 0519.14019
Bochnak, Jacek; Kucharz, Wojciech; Shiota, Masahiro
7
1982
Equivalence of differentiable functions, rational functions and polynomials. Zbl 0466.58006
Shiota, Masahiro
6
1982
Equivalence of differentiable mappings and analytic mappings. Zbl 0516.58012
Shiota, Masahiro
11
1981
On equivalence of ideals of real global analytic functions and the 17th Hilbert problem. Zbl 0467.32003
Bochnak, Jacek; Kucharz, Wojciech; Shiota, Masahiro
9
1981
Sur la factorialité de l’anneau des fonctions lisses rationnelles. Zbl 0489.14013
Shiota, Masahiro
6
1981
On the unique factorization property of the ring of Nash functions. Zbl 0503.58001
Shiota, Masahiro
4
1981
Sur la factorialite de l’anneau des fonctions analytiques. Zbl 0372.32009
Shiota, Masahiro
1
1977
Some results on formal power series and differentiable functions. Zbl 0338.13026
Shiota, Masahiro
3
1976
On germs of differentiable functions in two variables. Zbl 0278.57013
Shiota, Masahiro
2
1974
Transformation of germs of differentiable functions through changes of local coordinates. Zbl 0271.58003
Shiota, Masahiro
5
1973
Differentiable functions equivalent to analytic functions. Zbl 0271.58002
Shiota, Masahiro
1
1973
all top 5

Cited by 343 Authors

29 Shiota, Masahiro
18 Kucharz, Wojciech
14 Fernando, José F.
11 Bolte, Jérôme
10 Daniilidis, Aris
9 Drusvyatskiy, Dmitriy
8 Broglia, Fabrizio
8 Koike, Satoshi
8 Lewis, Adrian S.
7 Acquistapace, Francesca
7 Boţ, Radu Ioan
7 Csetnek, Ernö Robert
7 da Cruz Neto, João Xavier
7 Ioffe, Alexander Davidovich
7 Oliveira, Paulo Roberto
7 Soubeyran, Antoine
6 Bochnak, Jacek
6 Fischer, Andreas M.
6 Fujita, Masato
6 Pauwels, Edouard Jean Robert
6 Ruiz, Jesús M.
6 Sun, Binyong
6 Valette, Guillaume
6 Wu, Chunlin
5 Ghiloni, Riccardo
5 Paunescu, Laurentiu
5 Tancredi, Alessandro
4 Buchner, Michael A.
4 Gamboa Mutuberria, José Manuel
4 Kaiser, Tobias
4 László, Csaba Szilárd
4 Loi, Ta Le
4 Parusiński, Adam
4 Valette-Stasica, Anna
4 Zhang, Xiaoqun
3 Ahookhosh, Masoud
3 Baro, Elías
3 Basu, Saugata
3 Bento, Glaydston C.
3 Bento, Glaydston de Carvalho
3 Birbrair, Lev
3 Chouzenoux, Emilie
3 Coste, Michel
3 Fernandes, Alexandre Cesar Gurgel
3 Fichou, Goulwen
3 Guaraldo, Francesco
3 Kawakami, Tomohiro
3 Kurdyka, Krzysztof
3 Li, Guoyin
3 McCrory, Clint G.
3 Noll, Dominikus
3 Ochs, Peter
3 Otero, Margarita
3 Patrinos, Panagiotis
3 Pawłucki, Wiesław
3 Pesquet, Jean-Christophe
3 Phạm Tiên So’n
3 Pong, Ting Kei
3 Repetti, Audrey
2 Alimohammady, Mohsen
2 Barbet, Luc
2 Bian, Fengmiao
2 Bilski, Marcin
2 Bitar, Sandro Dimy Barbosa
2 Cattani, Carlo
2 Czapla, Małgorzata
2 Dambrine, Marc
2 Davis, Damek
2 de Oliveira Souza, João Carlos
2 de Vicente, Juan
2 Demangos, Luca
2 Escribano, Jesús
2 Ferreira Costa, João Carlos
2 Gabrielov, Andrei
2 Gillis, Nicolas
2 Han, Deren
2 Hien, Le Thi Khanh
2 Jia, Rui
2 Kutzschebauch, Frank
2 Ley, Olivier
2 Maříková, Jana
2 Murolo, Claudio
2 Ng, Michael Kwok-Po
2 Nguyen, Dang-Khoa
2 Nguyen, Nhan T.
2 Nguyen, Trong Phong
2 Nikolova, Mila
2 Papa Quiroz, Erik Alex
2 Peypouquet, Juan
2 Pillay, Anand
2 Quarez, Ronan
2 Ramazannejad, Maede
2 Rifford, Ludovic
2 Ruszczyński, Andrzej
2 Sabach, Shoham
2 Safey El Din, Mohab
2 Sun, Tao
2 Suter, Bruce W.
2 Tan, Pauline
2 Tognoli, Alberto
...and 243 more Authors
all top 5

Cited in 118 Serials

18 SIAM Journal on Optimization
14 Journal of Optimization Theory and Applications
14 Proceedings of the American Mathematical Society
12 Annales de l’Institut Fourier
11 Mathematische Annalen
10 Mathematische Zeitschrift
10 Transactions of the American Mathematical Society
9 Mathematical Programming. Series A. Series B
8 Advances in Mathematics
8 Inventiones Mathematicae
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Journal of Global Optimization
6 Computational Optimization and Applications
5 Manuscripta Mathematica
5 Topology and its Applications
5 Journal of Mathematical Imaging and Vision
5 SIAM Journal on Imaging Sciences
5 Set-Valued and Variational Analysis
4 Israel Journal of Mathematics
4 Journal of Mathematical Analysis and Applications
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Journal of Functional Analysis
4 Journal of the Mathematical Society of Japan
4 Journal of Pure and Applied Algebra
4 Bulletin des Sciences Mathématiques
4 Journal of the European Mathematical Society (JEMS)
3 Inverse Problems
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Compositio Mathematica
3 Duke Mathematical Journal
3 Geometriae Dedicata
3 Journal of Algebra
3 Journal of Differential Equations
3 Mathematics of Operations Research
3 Annals of Pure and Applied Logic
3 Selecta Mathematica. New Series
3 Revista Matemática Complutense
3 Foundations of Computational Mathematics
2 Annales Polonici Mathematici
2 Archiv der Mathematik
2 Journal of Computational and Applied Mathematics
2 Monatshefte für Mathematik
2 Nagoya Mathematical Journal
2 Proceedings of the Japan Academy. Series A
2 Optimization
2 Journal of Symbolic Computation
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Algebraic Geometry
2 Applied and Computational Harmonic Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Geometry & Topology
2 Journal of Singularities
1 Applicable Analysis
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Journal of Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Arkiv för Matematik
1 Acta Mathematica Vietnamica
1 Applied Mathematics and Computation
1 Calcolo
1 Collectanea Mathematica
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Journal of Number Theory
1 Journal für die Reine und Angewandte Mathematik
1 The Journal of Symbolic Logic
1 Kodai Mathematical Journal
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Control and Optimization
1 Operations Research Letters
1 Chinese Annals of Mathematics. Series B
1 Discrete & Computational Geometry
1 \(K\)-Theory
1 Journal of the American Mathematical Society
1 Journal of Scientific Computing
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 The Journal of Geometric Analysis
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Archive for Mathematical Logic
1 Indagationes Mathematicae. New Series
1 Journal of Knot Theory and its Ramifications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 SIAM Journal on Scientific Computing
1 Topological Methods in Nonlinear Analysis
1 St. Petersburg Mathematical Journal
1 Mathematical Logic Quarterly (MLQ)
1 Journal of Inverse and Ill-Posed Problems
1 Advances in Computational Mathematics
1 Annals of Mathematics. Second Series
1 Differential Equations
...and 18 more Serials
all top 5

Cited in 46 Fields

141 Algebraic geometry (14-XX)
87 Operations research, mathematical programming (90-XX)
86 Several complex variables and analytic spaces (32-XX)
58 Numerical analysis (65-XX)
55 Calculus of variations and optimal control; optimization (49-XX)
54 Global analysis, analysis on manifolds (58-XX)
46 Manifolds and cell complexes (57-XX)
34 Mathematical logic and foundations (03-XX)
24 Real functions (26-XX)
17 Information and communication theory, circuits (94-XX)
16 Computer science (68-XX)
13 Operator theory (47-XX)
12 Commutative algebra (13-XX)
12 Ordinary differential equations (34-XX)
12 Algebraic topology (55-XX)
10 Topological groups, Lie groups (22-XX)
9 Dynamical systems and ergodic theory (37-XX)
8 Field theory and polynomials (12-XX)
7 Number theory (11-XX)
6 Group theory and generalizations (20-XX)
6 Differential geometry (53-XX)
5 Partial differential equations (35-XX)
5 Functional analysis (46-XX)
5 Statistics (62-XX)
4 Measure and integration (28-XX)
4 General topology (54-XX)
4 Systems theory; control (93-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Convex and discrete geometry (52-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Functions of a complex variable (30-XX)
2 Optics, electromagnetic theory (78-XX)
2 Quantum theory (81-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Probability theory and stochastic processes (60-XX)
1 Fluid mechanics (76-XX)
1 Statistical mechanics, structure of matter (82-XX)

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