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Komatsu, Hikosaburo (b. 1935 d. 2022)

Author ID: komatsu.hikosaburo Recent zbMATH articles by "Komatsu, Hikosaburo"
Published as: Komatsu, Hikosaburo; Komatsu, H.; Komatsu, Hikosaburō
External Links: MGP · Wikidata · GND · IdRef

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 1,112 times in 799 Documents Cited by Year
Ultradistributions. I: Structure theorems and a characterization. Zbl 0258.46039
Komatsu, Hikosaburo
289
1973
Fractional powers of operators. Zbl 0154.16104
Komatsu, H.
150
1966
Projective and injective limits of weakly compact sequences of locally convex spaces. Zbl 0168.10603
Komatsu, H.
81
1967
Ultradistributions. II: The kernel theorem and ultradistributions with support in a submanifold. Zbl 0385.46027
Komatsu, Hikosaburo
69
1977
Ultradistributions. III: Vector valued ultradistributions and the theory of kernels. Zbl 0507.46035
Komatsu, Hikosaburo
57
1982
Fractional powers of operators. II: Interpolation spaces. Zbl 0168.10702
Komatsu, H.
48
1967
Semi-groups of operators in locally convex spaces. Zbl 0154.16103
Komatsu, H.
34
1964
Fractional powers of operators. III: Negative powers. IV: Potential operators. Zbl 0181.41003
Komatsu, H.
32
1969
The implicit function theorem for ultradifferentiable mappings. Zbl 0467.26004
Komatsu, Hikosaburo
30
1979
Boundary values of hyperfunction solutions of linear partial differential equations. Zbl 0225.35032
Komatsu, Hikosaburo; Kawai, Takahiro
24
1971
A characterization of real analytic functions. Zbl 0144.35505
Komatsu, Hikosaburo
23
1960
A local version of Bochner’s tube theorem. Zbl 0239.32012
Komatsu, Hikosaburo
22
1972
Ultradifferentiability of solutions of ordinary differential equations. Zbl 0486.34004
Komatsu, Hikosaburo
18
1980
Resolutions by hyperfunctions of sheaves of solutions of differential equations with constant coefficients. Zbl 0161.29802
Komatsu, H.
17
1968
On the index of ordinary differential operators. Zbl 0232.34026
Komatsu, Hikosaburo
17
1971
Relative cohomology of sheaves of solutions of differential equations. Zbl 0278.58010
Komatsu, Hikosaburo
17
1973
Microlocal analysis in Gevrey classes and in complex domains. Zbl 0791.35003
Komatsu, Hikosaburo
14
1991
Laplace transforms of hyperfunctions: A new foundation of the Heaviside calculus. Zbl 0644.44001
Komatsu, Hikosaburo
13
1987
An analogue of the Cauchy-Kowlevsky theorem for ultradifferentiable functions and a division theorem of ultradistributions as its dual. Zbl 0424.46032
Komatsu, Hikosaburo
13
1979
Fractional powers of operators. VI: Interpolation of non-negative operators and imbedding theorems. Zbl 0249.47013
Komatsu, Hikosaburo
12
1972
Operational calculus and semi-groups of operators. Zbl 0798.46041
Komatsu, Hikosaburo
12
1993
Abstract analyticity in time and unique continuation property of solutions of a parabolic equation. Zbl 0100.12101
Komatsu, Hikosaburo
12
1961
Irregularity of characteristic elements and construction of nullsolutions. Zbl 0443.35009
Komatsu, Hikosaburo
11
1976
A general interpolation theorem of Marcinkiewicz type. Zbl 0469.46052
Komatsu, Hikosaburo
11
1981
A proof of Kotake and Narasimhan’s theorem. Zbl 0113.30501
Komatsu, H.
9
1962
Fractional powers of operators. V: Dual operators. Zbl 0208.16302
Komatsu, H.
8
1970
An introduction to the theory of hyperfunctions. Zbl 0258.46040
Komatsu, Hikosaburo
7
1973
Solution of differential equations by means of Laplace hyperfunctions. Zbl 0894.35005
Komatsu, Hikosaburo
7
1996
On the regularity of hyperfunction solutions of linear ordinary differential equations with real analytic coefficients. Zbl 0266.34006
Komatsu, Hikosaburo
6
1973
Irregularity of characteristic elements and hyperbolicity. Zbl 0375.35044
Komatsu, Hikosaburo
6
1977
Linear hyperbolic equations with Gevrey coefficients. Zbl 0407.35052
Komatsu, Hikosaburo
6
1980
Boundary values for solutions of elliptic equations. Zbl 0199.16701
Komatsu, Hikosaburo
5
1970
Ultradistributions, hyperfunctions and linear differential equations. Zbl 0282.46039
Komatsu, Hikosaburo
5
1973
An ergodic theorem. Zbl 0157.21401
Komatsu, H.
3
1968
Hyperfunctions and linear partial differential equations. Zbl 0263.35075
Komatsu, Hikosaburo
3
1973
Seki, founder of modern mathematics in Japan. A commemoration on his tercentenary. Collected papers of the international conference on the history of mathematics in memory of Seki Takakazu, Tokyo, Japan, August 25–31, 2008. Zbl 1266.01005
2
2013
Cohomology of morphisms of sheafed spaces. Zbl 0231.55013
Komatsu, Hikosaburo
2
1971
Functional analysis and related topics, 1991. Proceedings ot the international conference in memory of Professor Kôsaku Yosida held at RIMS, Kyoto University, Japan, July 29-Aug. 2, 1991. Zbl 0782.00076
2
1993
An elementary theory of hyperfunctions and microfunctions. Zbl 0828.35005
Komatsu, Hikosaburo
2
1992
Multipliers for Laplace hyperfunctions – a justification of Heaviside’s rules. Zbl 0897.46024
Komatsu, H.
2
1994
On interior regularities of the solutions of principally elliptic systems of linear partial differential equations. Zbl 0113.08801
Komatsu, H.
2
1961
Laplace transforms of hyperfunctions: Another foundation of the Heaviside operational calculus. Zbl 0716.44005
Komatsu, Hikosaburo
2
1988
On the index of systems of linear ordinary differential operators. Zbl 0443.47047
Komatsu, Hikosaburo
1
1978
Linear ordinary differential equations with Gevrey coefficients. Zbl 0464.34011
Komatsu, Hikosaburo
1
1982
Heaviside’s theory of signal transmission on submarine cables. Zbl 1207.46036
Komatsu, Hikosaburo
1
2010
Prof. Yosida’s proof of the Plancherel and the Bochner theorems for locally compact abelian groups. Zbl 1016.43005
Komatsu, Hikosaburo
1
2001
Hyperfunctions and pseudo-differential equations. Proceedings of a conference at Katata, 1971. Zbl 0253.00006
1
1973
Ultradistributions and hyperfunctions. Zbl 0264.46036
Komatsu, Hikosaburo
1
1973
Operational calculus, hyperfunctions and ultradistributions. Zbl 0674.44006
Komatsu, Hikosaburo
1
1989
Seki, founder of modern mathematics in Japan. A commemoration on his tercentenary. Collected papers of the international conference on the history of mathematics in memory of Seki Takakazu, Tokyo, Japan, August 25–31, 2008. Zbl 1266.01005
2
2013
Heaviside’s theory of signal transmission on submarine cables. Zbl 1207.46036
Komatsu, Hikosaburo
1
2010
Prof. Yosida’s proof of the Plancherel and the Bochner theorems for locally compact abelian groups. Zbl 1016.43005
Komatsu, Hikosaburo
1
2001
Solution of differential equations by means of Laplace hyperfunctions. Zbl 0894.35005
Komatsu, Hikosaburo
7
1996
Multipliers for Laplace hyperfunctions – a justification of Heaviside’s rules. Zbl 0897.46024
Komatsu, H.
2
1994
Operational calculus and semi-groups of operators. Zbl 0798.46041
Komatsu, Hikosaburo
12
1993
Functional analysis and related topics, 1991. Proceedings ot the international conference in memory of Professor Kôsaku Yosida held at RIMS, Kyoto University, Japan, July 29-Aug. 2, 1991. Zbl 0782.00076
2
1993
An elementary theory of hyperfunctions and microfunctions. Zbl 0828.35005
Komatsu, Hikosaburo
2
1992
Microlocal analysis in Gevrey classes and in complex domains. Zbl 0791.35003
Komatsu, Hikosaburo
14
1991
Operational calculus, hyperfunctions and ultradistributions. Zbl 0674.44006
Komatsu, Hikosaburo
1
1989
Laplace transforms of hyperfunctions: Another foundation of the Heaviside operational calculus. Zbl 0716.44005
Komatsu, Hikosaburo
2
1988
Laplace transforms of hyperfunctions: A new foundation of the Heaviside calculus. Zbl 0644.44001
Komatsu, Hikosaburo
13
1987
Ultradistributions. III: Vector valued ultradistributions and the theory of kernels. Zbl 0507.46035
Komatsu, Hikosaburo
57
1982
Linear ordinary differential equations with Gevrey coefficients. Zbl 0464.34011
Komatsu, Hikosaburo
1
1982
A general interpolation theorem of Marcinkiewicz type. Zbl 0469.46052
Komatsu, Hikosaburo
11
1981
Ultradifferentiability of solutions of ordinary differential equations. Zbl 0486.34004
Komatsu, Hikosaburo
18
1980
Linear hyperbolic equations with Gevrey coefficients. Zbl 0407.35052
Komatsu, Hikosaburo
6
1980
The implicit function theorem for ultradifferentiable mappings. Zbl 0467.26004
Komatsu, Hikosaburo
30
1979
An analogue of the Cauchy-Kowlevsky theorem for ultradifferentiable functions and a division theorem of ultradistributions as its dual. Zbl 0424.46032
Komatsu, Hikosaburo
13
1979
On the index of systems of linear ordinary differential operators. Zbl 0443.47047
Komatsu, Hikosaburo
1
1978
Ultradistributions. II: The kernel theorem and ultradistributions with support in a submanifold. Zbl 0385.46027
Komatsu, Hikosaburo
69
1977
Irregularity of characteristic elements and hyperbolicity. Zbl 0375.35044
Komatsu, Hikosaburo
6
1977
Irregularity of characteristic elements and construction of nullsolutions. Zbl 0443.35009
Komatsu, Hikosaburo
11
1976
Ultradistributions. I: Structure theorems and a characterization. Zbl 0258.46039
Komatsu, Hikosaburo
289
1973
Relative cohomology of sheaves of solutions of differential equations. Zbl 0278.58010
Komatsu, Hikosaburo
17
1973
An introduction to the theory of hyperfunctions. Zbl 0258.46040
Komatsu, Hikosaburo
7
1973
On the regularity of hyperfunction solutions of linear ordinary differential equations with real analytic coefficients. Zbl 0266.34006
Komatsu, Hikosaburo
6
1973
Ultradistributions, hyperfunctions and linear differential equations. Zbl 0282.46039
Komatsu, Hikosaburo
5
1973
Hyperfunctions and linear partial differential equations. Zbl 0263.35075
Komatsu, Hikosaburo
3
1973
Hyperfunctions and pseudo-differential equations. Proceedings of a conference at Katata, 1971. Zbl 0253.00006
1
1973
Ultradistributions and hyperfunctions. Zbl 0264.46036
Komatsu, Hikosaburo
1
1973
A local version of Bochner’s tube theorem. Zbl 0239.32012
Komatsu, Hikosaburo
22
1972
Fractional powers of operators. VI: Interpolation of non-negative operators and imbedding theorems. Zbl 0249.47013
Komatsu, Hikosaburo
12
1972
Boundary values of hyperfunction solutions of linear partial differential equations. Zbl 0225.35032
Komatsu, Hikosaburo; Kawai, Takahiro
24
1971
On the index of ordinary differential operators. Zbl 0232.34026
Komatsu, Hikosaburo
17
1971
Cohomology of morphisms of sheafed spaces. Zbl 0231.55013
Komatsu, Hikosaburo
2
1971
Fractional powers of operators. V: Dual operators. Zbl 0208.16302
Komatsu, H.
8
1970
Boundary values for solutions of elliptic equations. Zbl 0199.16701
Komatsu, Hikosaburo
5
1970
Fractional powers of operators. III: Negative powers. IV: Potential operators. Zbl 0181.41003
Komatsu, H.
32
1969
Resolutions by hyperfunctions of sheaves of solutions of differential equations with constant coefficients. Zbl 0161.29802
Komatsu, H.
17
1968
An ergodic theorem. Zbl 0157.21401
Komatsu, H.
3
1968
Projective and injective limits of weakly compact sequences of locally convex spaces. Zbl 0168.10603
Komatsu, H.
81
1967
Fractional powers of operators. II: Interpolation spaces. Zbl 0168.10702
Komatsu, H.
48
1967
Fractional powers of operators. Zbl 0154.16104
Komatsu, H.
150
1966
Semi-groups of operators in locally convex spaces. Zbl 0154.16103
Komatsu, H.
34
1964
A proof of Kotake and Narasimhan’s theorem. Zbl 0113.30501
Komatsu, H.
9
1962
Abstract analyticity in time and unique continuation property of solutions of a parabolic equation. Zbl 0100.12101
Komatsu, Hikosaburo
12
1961
On interior regularities of the solutions of principally elliptic systems of linear partial differential equations. Zbl 0113.08801
Komatsu, H.
2
1961
A characterization of real analytic functions. Zbl 0144.35505
Komatsu, Hikosaburo
23
1960
all top 5

Cited by 662 Authors

49 Pilipović, Stevan
25 Schindl, Gerhard
24 Vindas, Jasson
22 Prangoski, Bojan
17 Debrouwere, Andreas
17 Kostić, Marko
17 Rainer, Armin
16 Sanz, Javier
15 Kawai, Takahiro
15 Langenbruch, Michael
13 Jiménez-Garrido, Javier
12 Teofanov, Nenad
11 Albanese, Angela Anna
10 Dlotko, Tomasz W.
10 Hoepfner, Gustavo
9 Boiti, Chiara
9 Chung, Soon-Yeong
9 Jornet, David
9 Komatsu, Hikosaburo
9 Solov’ev, Mikhaĭl Aleksandrovich
9 Velinov, Daniel
8 Kim, Dohan
7 Neyt, Lenny
7 Ōuchi, Sunao
7 Shakhmurov, Veli B.
7 Valdivia Ureña, Manuel
6 Cholewa, Jan W.
6 Domański, Paweł
6 Nenning, David Nicolas
6 Oshima, Toshio
6 Rodino, Luigi
6 Ruzhansky, Michael V.
6 Toft, Joachim
6 Zanghirati, Luisa
5 Araújo, Gabriel
5 Bonet Solves, José
5 Colombo, Fabrizio
5 Cordaro, Paulo D.
5 de Lessa Victor, Bruno
5 Dimovski, Pavel
5 Kaneko, Akira
5 Kania, Maria B.
5 Kashiwara, Masaki
5 Kriegl, Andreas
5 Li, Miao
5 Michor, Peter Wolfram
5 Nguyen Thieu Huy
5 Oliaro, Alessandro
5 Peloso, Marco Maria
5 Rodríguez-Bernal, Aníbal
5 Schmets, Jean
5 Struppa, Daniele Carlo
5 Thorel, Alexandre
5 Tomić, Filip
5 Vučković, Đorđe
4 Albrecht, Ernst
4 Aoki, Takashi
4 Cappiello, Marco
4 Cicognani, Massimo
4 Dasgupta, Aparajita
4 Dattori da Silva, Paulo L.
4 Droste, Bernd
4 Fernández, Carmen
4 Fürdös, Stefan
4 Galbis, Antonio
4 Gantner, Jonathan
4 Gramchev, Todor V.
4 Jakšić, Smiljana
4 Juan-Huguet, Jordi
4 Kruse, Karsten
4 Maksimović, Snjezana
4 Meise, Reinhold G.
4 Motos Izquierdo, Joaquin
4 Muramatu, Tosinobu
4 Musin, Il’dar Khamitovich
4 Nagamachi, Shigeaki
4 Petzsche, Hans-Joachim
4 Planells, María Jesús
4 Ragognette, Luis Fernando
4 Smirnov, Alexander G.
4 Stanković, Bogoljub
4 Sun, Chunyou
4 Tajima, Shinichi
4 Takeuchi, Kiyoshi
4 Tomilov, Yuri
4 Uchida, Motoo
4 Vogt, Dietmar
4 Vu Thi Ngoc Ha
4 Weis, Lutz W.
3 Adwan, Ziad
3 Atanackovic, Teodor M.
3 Besse, Nicolas
3 Blasco, Oscar
3 Bouzar, Chikh
3 Bruno, Tommaso
3 Chaili, Rachid
3 Chen, Chuang
3 Chung, Jaeyoung
3 Cioranescu, Ioana
3 D’Ovidio, Mirko
...and 562 more Authors
all top 5

Cited in 192 Serials

63 Journal of Mathematical Analysis and Applications
43 Publications of the Research Institute for Mathematical Sciences, Kyoto University
29 Journal of Functional Analysis
23 Proceedings of the American Mathematical Society
22 Mathematische Annalen
22 Proceedings of the Japan Academy. Series A
22 Transactions of the American Mathematical Society
21 Proceedings of the Japan Academy
20 Journal of Differential Equations
17 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
16 Results in Mathematics
14 Annales de l’Institut Fourier
14 Manuscripta Mathematica
12 Annali di Matematica Pura ed Applicata. Serie Quarta
12 Journal of Pseudo-Differential Operators and Applications
11 Archiv der Mathematik
11 Mathematische Nachrichten
10 Integral Equations and Operator Theory
10 The Journal of Geometric Analysis
9 Arkiv för Matematik
9 Mathematische Zeitschrift
9 Rendiconti del Seminario Matematico della Università di Padova
9 Journal of Mathematical Sciences (New York)
8 Communications in Mathematical Physics
8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
7 Functiones et Approximatio. Commentarii Mathematici
7 Monatshefte für Mathematik
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Semigroup Forum
7 Siberian Mathematical Journal
7 The Journal of Fourier Analysis and Applications
6 Theoretical and Mathematical Physics
6 Integral Transforms and Special Functions
6 Fractional Calculus & Applied Analysis
5 Archive for Rational Mechanics and Analysis
4 Applicable Analysis
4 Journal d’Analyse Mathématique
4 Advances in Mathematics
4 Bulletin de la Société Mathématique de France
4 Collectanea Mathematica
4 Compositio Mathematica
4 Czechoslovak Mathematical Journal
4 Annals of Global Analysis and Geometry
4 Communications in Partial Differential Equations
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Filomat
4 Banach Journal of Mathematical Analysis
3 Israel Journal of Mathematics
3 Journal of Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Studia Mathematica
3 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
3 Acta Mathematica
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Tôhoku Mathematical Journal. Second Series
3 Indagationes Mathematicae. New Series
3 Bulletin des Sciences Mathématiques
3 Discrete and Continuous Dynamical Systems
3 Abstract and Applied Analysis
3 Journal of Evolution Equations
3 Discrete and Continuous Dynamical Systems. Series B
3 Bulletin of the American Mathematical Society
3 Complex Analysis and Operator Theory
2 Analysis Mathematica
2 Letters in Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Mathematical Notes
2 Periodica Mathematica Hungarica
2 Ukrainian Mathematical Journal
2 Journal of Geometry and Physics
2 Annales Polonici Mathematici
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Journal of Soviet Mathematics
2 Publications de l’Institut Mathématique. Nouvelle Série
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 SIAM Journal on Numerical Analysis
2 Zeitschrift für Analysis und ihre Anwendungen
2 Stochastic Analysis and Applications
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Journal of the American Mathematical Society
2 Forum Mathematicum
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Aequationes Mathematicae
2 Expositiones Mathematicae
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Potential Analysis
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Positivity
2 Novi Sad Journal of Mathematics
2 Journal of Dynamical and Control Systems
2 Communications in Contemporary Mathematics
2 Annales Mathematicae Silesianae
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Communications on Pure and Applied Analysis
2 Journal of Function Spaces and Applications
2 Mediterranean Journal of Mathematics
2 Sarajevo Journal of Mathematics
2 Complex Variables and Elliptic Equations
...and 92 more Serials
all top 5

Cited in 54 Fields

352 Functional analysis (46-XX)
316 Partial differential equations (35-XX)
198 Operator theory (47-XX)
92 Several complex variables and analytic spaces (32-XX)
68 Real functions (26-XX)
66 Global analysis, analysis on manifolds (58-XX)
62 Ordinary differential equations (34-XX)
52 Functions of a complex variable (30-XX)
51 Harmonic analysis on Euclidean spaces (42-XX)
33 Integral transforms, operational calculus (44-XX)
25 Probability theory and stochastic processes (60-XX)
21 Quantum theory (81-XX)
19 Fluid mechanics (76-XX)
17 Topological groups, Lie groups (22-XX)
17 Abstract harmonic analysis (43-XX)
12 Dynamical systems and ergodic theory (37-XX)
11 Integral equations (45-XX)
10 Algebraic geometry (14-XX)
10 Numerical analysis (65-XX)
9 Potential theory (31-XX)
9 Sequences, series, summability (40-XX)
8 Differential geometry (53-XX)
7 Mathematical logic and foundations (03-XX)
7 Approximations and expansions (41-XX)
7 Systems theory; control (93-XX)
6 Category theory; homological algebra (18-XX)
5 Special functions (33-XX)
4 Commutative algebra (13-XX)
4 Algebraic topology (55-XX)
4 Biology and other natural sciences (92-XX)
3 History and biography (01-XX)
3 Field theory and polynomials (12-XX)
3 Manifolds and cell complexes (57-XX)
3 Mechanics of particles and systems (70-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Associative rings and algebras (16-XX)
2 Measure and integration (28-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
2 Mechanics of deformable solids (74-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Difference and functional equations (39-XX)
1 Computer science (68-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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