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## Ikebe, Teruo

Compute Distance To:
 Author ID: ikebe.teruo Published as: Ikebe, Teruo; Ikebe, T.
 Documents Indexed: 26 Publications since 1935, including 1 Book
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#### Co-Authors

 16 single-authored 2 Isozaki, Hiroshi 2 Shimada, Shin-ichi 1 Fujita, Hiroshi 1 Kato, Tosio 1 Kuroda, Shige Toshi 1 Saitō, Yoshimi 1 Tayoshi, Takao 1 Uchiyama, Jun 1 Yoshioka, Takashi
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#### Serials

 5 Journal of Mathematics of Kyoto University 3 Archive for Rational Mechanics and Analysis 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Publications of the Research Institute for Mathematical Sciences, Series A 1 Journal d’Analyse Mathématique 1 Integral Equations and Operator Theory 1 Journal of the Faculty of Science. Section I A 1 Journal of Functional Analysis 1 Japanese Journal of Mathematics. New Series 1 Pacific Journal of Mathematics 1 Japanese Journal of Mathematics 1 Lecture Notes in Mathematics
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#### Fields

 12 Partial differential equations (35-XX) 11 Operator theory (47-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

21 Publications have been cited 389 times in 305 Documents Cited by Year
Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory. Zbl 0145.36902
Ikebe, T.
1960
Uniqueness of the self-adjoint extension of singular elliptic differential operators. Zbl 0103.31801
Ikebe, Teruo; Kato, Tosio
1962
Limiting absorption method and absolute continuity for the Schrödinger operator. Zbl 0257.35022
Ikebe, Teruo; Saito, Yoshimi
1972
On the asymptotic behavior of eigenfunctions of second-order elliptic operators. Zbl 0233.35021
Ikebe, Teruo; Uchiyama, Jun
1971
Spectral representation for Schrödinger operators with long-range potentials. Zbl 0315.35067
Ikebe, Teruo
1975
Orthogonality of the eigenfunctions for the exterior problem connected with $$-\Delta$$. Zbl 0143.14601
Ikebe, T.
1965
A stationary approach to the existence and completeness of long-range wave operators. Zbl 0496.35069
Ikebe, Teruo; Isozaki, Hiroshi
1982
On the eigenfunction expansion connected with the exterior problem for the Schrödinger equation. Zbl 0164.13603
Ikebe, T.
1967
Spectral representation for Schrödinger operators with long-range potentials. II: Perturbation by short-range potentials. Zbl 0345.35032
Ikebe, Teruo
1976
On the phase-shift formula for the scattering operator. Zbl 0138.45004
Ikebe, T.
1965
Scattering for the Schrödinger operator in an exterior domain. Zbl 0153.42503
Ikebe, T.
1967
Wave and scattering operators for second-order elliptic operators in $$R_ 3$$. Zbl 0199.41803
Ikebe, T.; Tayoshi, T.
1968
Completeness of modified wave operators for long-range potentials. Zbl 0432.35061
Ikebe, Teruo; Isozaki, Hiroshi
1979
The Schrödinger operator with a penetrable wall interaction. Zbl 0802.35030
Ikebe, Teruo
1992
Remarks on the orthogonality of eigenfunctions for the Schrödinger operator in $$R^ n$$. Zbl 0211.13801
Ikebe, T.
1970
Spectral and scattering theory for the Schrödinger operators with penetrable wall potentials. Zbl 0736.47007
Ikebe, Teruo; Shimada, Shin-ichi
1991
Wave operators for $$-\Delta$$ in a domain with non-finite boundary. Zbl 0199.41901
Ikebe, T.
1968
Remarks on non-elliptic stationary wave propagation problems. Zbl 0539.35010
Ikebe, Teruo
1980
A spectral theory for the reduced wave equation with a complex refractive index. Zbl 0261.35066
Ikebe, Teruo
1973
Functional-analytic methods for partial differential equations. Proceedings of a conference and a symposium held in Tokyo, Japan, July 3- 9, 1989. Zbl 0707.00017
Fujita, Hiroshi (ed.); Ikebe, Teruo (ed.); Kuroda, Shige Toshi (ed.)
1990
Scattering for uniformly propagative systems. Zbl 0193.38501
Ikebe, T.
1970
The Schrödinger operator with a penetrable wall interaction. Zbl 0802.35030
Ikebe, Teruo
1992
Spectral and scattering theory for the Schrödinger operators with penetrable wall potentials. Zbl 0736.47007
Ikebe, Teruo; Shimada, Shin-ichi
1991
Functional-analytic methods for partial differential equations. Proceedings of a conference and a symposium held in Tokyo, Japan, July 3- 9, 1989. Zbl 0707.00017
Fujita, Hiroshi; Ikebe, Teruo; Kuroda, Shige Toshi
1990
A stationary approach to the existence and completeness of long-range wave operators. Zbl 0496.35069
Ikebe, Teruo; Isozaki, Hiroshi
1982
Remarks on non-elliptic stationary wave propagation problems. Zbl 0539.35010
Ikebe, Teruo
1980
Completeness of modified wave operators for long-range potentials. Zbl 0432.35061
Ikebe, Teruo; Isozaki, Hiroshi
1979
Spectral representation for Schrödinger operators with long-range potentials. II: Perturbation by short-range potentials. Zbl 0345.35032
Ikebe, Teruo
1976
Spectral representation for Schrödinger operators with long-range potentials. Zbl 0315.35067
Ikebe, Teruo
1975
A spectral theory for the reduced wave equation with a complex refractive index. Zbl 0261.35066
Ikebe, Teruo
1973
Limiting absorption method and absolute continuity for the Schrödinger operator. Zbl 0257.35022
Ikebe, Teruo; Saito, Yoshimi
1972
On the asymptotic behavior of eigenfunctions of second-order elliptic operators. Zbl 0233.35021
Ikebe, Teruo; Uchiyama, Jun
1971
Remarks on the orthogonality of eigenfunctions for the Schrödinger operator in $$R^ n$$. Zbl 0211.13801
Ikebe, T.
1970
Scattering for uniformly propagative systems. Zbl 0193.38501
Ikebe, T.
1970
Wave and scattering operators for second-order elliptic operators in $$R_ 3$$. Zbl 0199.41803
Ikebe, T.; Tayoshi, T.
1968
Wave operators for $$-\Delta$$ in a domain with non-finite boundary. Zbl 0199.41901
Ikebe, T.
1968
On the eigenfunction expansion connected with the exterior problem for the Schrödinger equation. Zbl 0164.13603
Ikebe, T.
1967
Scattering for the Schrödinger operator in an exterior domain. Zbl 0153.42503
Ikebe, T.
1967
Orthogonality of the eigenfunctions for the exterior problem connected with $$-\Delta$$. Zbl 0143.14601
Ikebe, T.
1965
On the phase-shift formula for the scattering operator. Zbl 0138.45004
Ikebe, T.
1965
Uniqueness of the self-adjoint extension of singular elliptic differential operators. Zbl 0103.31801
Ikebe, Teruo; Kato, Tosio
1962
Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory. Zbl 0145.36902
Ikebe, T.
1960
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#### Cited by 265 Authors

 9 Ikebe, Teruo 9 Simon, Barry 7 Isozaki, Hiroshi 6 Rejto, P. A. 6 Skibsted, Erik 6 Tamura, Hideo 6 Thoe, Dale W. 5 Hounkonnou, Mahouton Norbert 5 Kalf, Hubert 5 Mochizuki, Kiyoshi 5 Schechter, Martin 5 Uchiyama, Jun 5 Yamada, Osanobu 4 Aliev, Araz R. 4 Ben-Artzi, Matania 4 Dürr, Detlef 4 Ginibre, Jean 4 Ito, Hiroshi T. 4 Jäger, Willi 4 Meylan, Michael H. 4 Weidmann, Joachim 3 Arai, Masaharu 3 Avila, Geraldo S. S. 3 Avossevou, Gabriel Y. H. 3 Combescure, Monique 3 Goldstein, Charles I. 3 Hellwig, Birgitta 3 Herbst, Ira W. 3 Howland, James S. 3 Kitada, Hitoshi 3 Simader, Christian Georg 3 Touhei, Terumi 3 van Winter, Clasine 3 Vogelsang, Volker 3 Werner, Peter 3 Wilcox, Calvin H. 3 Witte, Jürgen 3 Yafaev, Dimitri R. 2 Affili, Elisa 2 Agmon, Shmuel 2 Colin de Verdière, Yves 2 Combes, Jean-Michel 2 Dolph, Charles L. 2 Eckardt, Klaus-Jürgen 2 Evans, William Desmond 2 Eyvazov, Elshad H. 2 Garcia, Andoni 2 Gesztesy, Fritz 2 Goldstein, Jerome Arthur 2 Goldstein, Sheldon 2 Häfner, Dietrich 2 Hounkpe, M. 2 Iwatsuka, Akira 2 Kato, Tosio 2 Kubota, Kôji 2 Kuroda, Shige Toshi 2 Masuda, Kyûya 2 McLeod, John Bryce 2 Metafune, Giorgio 2 Mitrea, Marius 2 Muthuramalingam, Pl. 2 Negro, Luigi 2 Osborn, T. A. 2 Perry, Peter A. 2 Pickl, Peter 2 Rohde, Hanns-Walter 2 Ruiz Goldstein, Giséle 2 Saitō, Yoshimi 2 Schulenberger, John R. 2 Shabani, Juma 2 Shenk, Norman 2 Shirota, Taira 2 Shubin, Mikhail Aleksandrovich 2 Steinberg, Stanly L. 2 Tayoshi, Takao 2 Truc, Françoise 2 Valdinoci, Enrico 2 Vega, Luis 2 Wakabayashi, Seiichiro 2 White, Denis A. W. 2 Zanghi, Nino 2 Zubeldia, Miren 1 Aafarani, Maha 1 Alexandrova, Ivana 1 Alsholm, Preben 1 Amrein, Werner O. 1 Ando, Kazunori 1 Ashbaugh, Mark S. 1 Babbitt, Donald George 1 Bachelot, Alain 1 Balslev, Erik 1 Barceló, Juan Antonio 1 Bellout, Hamid 1 Berezans’kyĭ, Yuriĭ Makarovych 1 Berthier, Anne-Marie 1 Bohm, Arno R. 1 Bolley, Pierre 1 Bottaro, Gianfranco 1 Briet, Philippe 1 Bros, Jacques ...and 165 more Authors
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#### Cited in 74 Serials

 28 Journal of Mathematical Analysis and Applications 25 Journal of Functional Analysis 24 Journal of Mathematical Physics 24 Mathematische Zeitschrift 20 Publications of the Research Institute for Mathematical Sciences, Kyoto University 15 Archive for Rational Mechanics and Analysis 9 Communications in Mathematical Physics 8 Annales de l’Institut Henri Poincaré. Physique Théorique 8 Proceedings of the Japan Academy 7 Journal d’Analyse Mathématique 7 Journal of Differential Equations 6 Publications of the Research Institute for Mathematical Sciences, Series A 5 Reviews in Mathematical Physics 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Letters in Mathematical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Advances in Mathematics 4 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 4 Journal of Soviet Mathematics 4 Annales Henri Poincaré 4 Bulletin of the American Mathematical Society 3 Israel Journal of Mathematics 3 Journal of Fluid Mechanics 3 Mathematical Methods in the Applied Sciences 3 Mathematical Notes 3 Ukrainian Mathematical Journal 3 Annales de l’Institut Fourier 3 Duke Mathematical Journal 3 Integral Equations and Operator Theory 3 Manuscripta Mathematica 3 Mathematische Annalen 3 Transactions of the American Mathematical Society 3 Communications in Partial Differential Equations 2 International Journal of Solids and Structures 2 Arkiv för Matematik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Proceedings of the Japan Academy. Series A 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin of Mathematical Sciences 1 Applicable Analysis 1 Communications in Algebra 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Theoretical and Mathematical Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Boletim da Sociedade Brasileira de Matemática 1 Functional Analysis and its Applications 1 Journal of Approximation Theory 1 Journal of the Mathematical Society of Japan 1 Osaka Journal of Mathematics 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Advances in Applied Mathematics 1 Applied Mathematics Letters 1 Sugaku Expositions 1 The Journal of Geometric Analysis 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Modern Physics D 1 Physics of Fluids 1 Engineering Analysis with Boundary Elements 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of High Energy Physics 1 Analysis in Theory and Applications 1 Il Nuovo Cimento, X. Series 1 Il Nuovo Cimento, X. Series, A 1 Complex Variables and Elliptic Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Asian-European Journal of Mathematics 1 Kyoto Journal of Mathematics 1 Eurasian Mathematical Journal 1 Il Nuovo Cimento, X. Series, B 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Cited in 26 Fields

 177 Partial differential equations (35-XX) 128 Operator theory (47-XX) 85 Quantum theory (81-XX) 15 Functional analysis (46-XX) 11 Ordinary differential equations (34-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Optics, electromagnetic theory (78-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 4 Integral equations (45-XX) 4 Numerical analysis (65-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 $$K$$-theory (19-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)