Edit Profile (opens in new tab) Pleijel, Åke Compute Distance To: Compute Author ID: pleijel.ake Published as: Pleijel, Åke; Pleijel, Å.; Pleijel, A. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 55 Publications since 1934 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 3 Co-Authors with 3 Joint Publications 41 Co-Co-Authors Co-Authors 53 single-authored 1 Bennewitz, Christer 1 Essén, Matts Raguel 1 Minakshisundaram, Subbaramiah all top 5 Serials 12 Arkiv för Matematik, Astronomi och Fysik 5 Arkiv för Matematik 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 2 Communications on Pure and Applied Mathematics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Nordisk Matematisk Tidskrift 1 Israel Journal of Mathematics 1 American Journal of Mathematics 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Journal of Mathematics 1 The Journal of the Indian Mathematical Society. New Series 1 Matematisk Tidsskrift, B all top 5 Fields 15 Ordinary differential equations (34-XX) 7 Operator theory (47-XX) 3 Partial differential equations (35-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 417 times in 393 Documents Cited by ▼ Year ▼ Some properties of the Eigenfunctions of the Laplace-operator on Riemannian manifolds. Zbl 0041.42701Minakshisundaram, S.; Pleijel, Åke 220 1949 Remarks on Courant’s nodal line theorem. Zbl 0070.32604Pleijel, Åke 67 1956 A study of certain Green’s functions with applications in the theory of vibrating membranes. Zbl 0055.08801Pleijel, Åke 41 1954 On the eigenvalues and eigenfunctions of elastic plates. Zbl 0040.05403Pleijel, Åke 27 1950 On a theorem by P. Malliavin. Zbl 0126.11503Pleijel, Åke 11 1963 On the boundary condition for the Legendre polynomials. Zbl 0355.34012Pleijel, Åke 7 1976 Propriétés asymptotiques des fonctions fondamentales du problème des vibrations dans un corps élastique. Zbl 0021.31803Pleijel, Åke 5 1939 On Green’s functions and the eigenvalue-distribution of the three-dimensional membrane equation. Zbl 0056.09701Pleijel, Åke 5 1954 Propriétés asymptotiques des fonctions et valeurs propres de certains problèmes de vibrations. Zbl 0023.12402Pleijel, Åke 4 1940 Some remarks about the limit point and limit circle theory. Zbl 0281.34014Pleijel, Åke 3 1969 Propriétés asymptotiques des fonctions fondamentales du problème des vibrations dans un corps élastique. JFM 65.0924.02Pleijel, Å. 3 1939 Spectral theory for pairs of ordinary formally self-adjoint differential operators. Zbl 0242.34027Pleijel, Åke 3 1971 A bilateral Tauberian theorem. Zbl 0107.32001Pleijel, Åke 3 1963 Certain indefinite differential eigenvalues problems. The asymptotic distribution of their eigenfunctions. Zbl 0111.09502Pleijel, Åke 2 1961 Complementary remarks about the limit point and limit circle theory. Zbl 0214.34302Pleijel, Åke 2 1969 Quelques problèmes de vibrations et les méthodes directes du calcul des variations. Zbl 0028.36102Pleijel, Åke 2 1943 Le problème spectral de certaines équations aux dérivées partielles. Zbl 0063.06283Pleijel, Åke 2 1944 Generalized Weyl circles. Zbl 0301.34025Pleijel, Åke 1 1974 Selfadjoint extension of ordinary differential operators. Zbl 0305.47025Bennewitz, Christer; Pleijel, Åke 1 1974 Propriétés asymptotiques des fonctions et valeurs propres de certains problèmes de vibrations. JFM 66.0460.02Pleijel, Å. 1 1940 Sur les propriétés asymptotiques des fonctions et valeurs propres des plaques vibrantes. JFM 65.0430.03Pleijel, Å. 1 1939 Sur la distribution des valeurs propres de problèmes regis par l’équation \(\Delta u+\lambda k(x,y)u=0\). Zbl 0028.06601Pleijel, Åke 1 1943 Asymptotic relations for the eigenfunctions of certain boundary problems of polar type. Zbl 0036.06802Pleijel, Åke 1 1948 On a theorem of Carleman. Zbl 0048.29603Pleijel, Åke 1 1952 On Green’s functions for elastic plates with clamped, supported and free edges. Zbl 0068.08502Pleijel, Åke 1 1955 Green’s functions and asymptotic distribution of eigenvalues and eigenfunctions. Zbl 0068.08503Pleijel, Åke 1 1955 Remark to my previous paper on a bilateral Tauberian theorem. Zbl 0107.32002Pleijel, Åke 1 1963 On the boundary condition for the Legendre polynomials. Zbl 0355.34012Pleijel, Åke 7 1976 Generalized Weyl circles. Zbl 0301.34025Pleijel, Åke 1 1974 Selfadjoint extension of ordinary differential operators. Zbl 0305.47025Bennewitz, Christer; Pleijel, Åke 1 1974 Spectral theory for pairs of ordinary formally self-adjoint differential operators. Zbl 0242.34027Pleijel, Åke 3 1971 Some remarks about the limit point and limit circle theory. Zbl 0281.34014Pleijel, Åke 3 1969 Complementary remarks about the limit point and limit circle theory. Zbl 0214.34302Pleijel, Åke 2 1969 On a theorem by P. Malliavin. Zbl 0126.11503Pleijel, Åke 11 1963 A bilateral Tauberian theorem. Zbl 0107.32001Pleijel, Åke 3 1963 Remark to my previous paper on a bilateral Tauberian theorem. Zbl 0107.32002Pleijel, Åke 1 1963 Certain indefinite differential eigenvalues problems. The asymptotic distribution of their eigenfunctions. Zbl 0111.09502Pleijel, Åke 2 1961 Remarks on Courant’s nodal line theorem. Zbl 0070.32604Pleijel, Åke 67 1956 On Green’s functions for elastic plates with clamped, supported and free edges. Zbl 0068.08502Pleijel, Åke 1 1955 Green’s functions and asymptotic distribution of eigenvalues and eigenfunctions. Zbl 0068.08503Pleijel, Åke 1 1955 A study of certain Green’s functions with applications in the theory of vibrating membranes. Zbl 0055.08801Pleijel, Åke 41 1954 On Green’s functions and the eigenvalue-distribution of the three-dimensional membrane equation. Zbl 0056.09701Pleijel, Åke 5 1954 On a theorem of Carleman. Zbl 0048.29603Pleijel, Åke 1 1952 On the eigenvalues and eigenfunctions of elastic plates. Zbl 0040.05403Pleijel, Åke 27 1950 Some properties of the Eigenfunctions of the Laplace-operator on Riemannian manifolds. Zbl 0041.42701Minakshisundaram, S.; Pleijel, Åke 220 1949 Asymptotic relations for the eigenfunctions of certain boundary problems of polar type. Zbl 0036.06802Pleijel, Åke 1 1948 Le problème spectral de certaines équations aux dérivées partielles. Zbl 0063.06283Pleijel, Åke 2 1944 Quelques problèmes de vibrations et les méthodes directes du calcul des variations. Zbl 0028.36102Pleijel, Åke 2 1943 Sur la distribution des valeurs propres de problèmes regis par l’équation \(\Delta u+\lambda k(x,y)u=0\). Zbl 0028.06601Pleijel, Åke 1 1943 Propriétés asymptotiques des fonctions et valeurs propres de certains problèmes de vibrations. Zbl 0023.12402Pleijel, Åke 4 1940 Propriétés asymptotiques des fonctions et valeurs propres de certains problèmes de vibrations. JFM 66.0460.02Pleijel, Å. 1 1940 Propriétés asymptotiques des fonctions fondamentales du problème des vibrations dans un corps élastique. Zbl 0021.31803Pleijel, Åke 5 1939 Propriétés asymptotiques des fonctions fondamentales du problème des vibrations dans un corps élastique. JFM 65.0924.02Pleijel, Å. 3 1939 Sur les propriétés asymptotiques des fonctions et valeurs propres des plaques vibrantes. JFM 65.0430.03Pleijel, Å. 1 1939 all cited Publications top 5 cited Publications all top 5 Cited by 464 Authors 24 Zayed, Elsayed M. E. 20 Helffer, Bernard 12 Bérard, Pierre H. 9 Band, Ram 8 Kirsten, Klaus 7 Awonusika, Richard Olu 7 Berkolaiko, Gregory 6 Brüning, Jochen 6 Liu, Genqian 5 Cheng, Qingming 5 Jorgenson, Jay Alan 5 Léna, Corentin 5 Littlejohn, Lance L. 5 Pleijel, Åke 5 Williams, Floyd L. 4 Fucci, Guglielmo 4 Laurence, Peter 3 Branson, Thomas Patrick 3 Cox, Graham 3 Donnelly, Harold 3 Elizalde, Emilio 3 Gilkey, Peter B. 3 Gittins, Katie 3 Kurasov, Pavel B. 3 Lundelius, Rolf E. 3 Marzuola, Jeremy Louis 3 Rădulescu, Vicenţiu D. 3 Ramacher, Pablo 3 Seeley, Robert Thomas 3 Smilansky, Uzy 3 Steinerberger, Stefan 3 Wei, Guoxin 3 Yang, Jun 2 Agmon, Shmuel 2 Alon, Lior 2 Atiyah, Michael Francis 2 Bayer, Christian 2 Beals, Richard W. 2 Benguria, Rafael D. 2 Bobkov, Vladimir E. 2 Bolte, Jens 2 Bott, Raoul Harry 2 Bureau, Florent J. 2 Buser, Peter 2 Camporesi, Roberto 2 Chen, Daguang 2 Cipriani, Alessandra 2 Dai, Wusheng 2 Dan, Biltu 2 de Snoo, Hendrik S. V. 2 Duistermaat, Johannes Jisse 2 Efrat, Isaac Y. 2 Everitt, William Norrie 2 Fajman, David 2 Forde, Martin 2 Freitas, Pedro 2 Fujii, Akio 2 Grabner, Peter J. 2 Greiner, Peter C. 2 Gromes, Dieter 2 Gromes, Wolfgang 2 Günther, Paul 2 Hajli, Mounir 2 Hazra, Rajat Subhra 2 Heintze, Ernst 2 Hoffmann-Ostenhof, Thomas 2 Jakobson, Dmitry 2 Kannai, Yakar 2 Kennedy, James Bernard 2 Kim, Peter T. 2 Kiwan, Rola 2 Kushpel, Alexander K. 2 Lord, Steven 2 Martelli, Dario 2 Mitchell, Jeffrey J. 2 Moroianu, Sergiu 2 Mugnolo, Delio 2 Nadirashvili, Nikolai S. 2 Ngai, Sze-Man 2 Niemeyer, Horst F. 2 Ozawa, Shin 2 Pesenson, Isaac Zalmanovich 2 Plümer, Marvin 2 Polterovich, Iosif 2 Provenzano, Luigi 2 Rowlett, Julie 2 Shimakura, Norio 2 Sleeman, Brian David 2 Sparks, James 2 Sukochev, Fedor Anatol’evich 2 Sun, Hejun 2 Svaiter, Nami F. 2 Taheri, Ali 2 Tamura, Hideo 2 Taş, Kenan 2 Wang, Qiaoling 2 Wei, Juncheng 2 Wellman, Richard 2 Xia, Changyu 2 Xie, Mi ...and 364 more Authors all top 5 Cited in 145 Serials 14 Journal of Mathematical Physics 13 Communications in Mathematical Physics 13 Journal of Mathematical Analysis and Applications 13 Transactions of the American Mathematical Society 10 Mathematische Zeitschrift 10 Proceedings of the American Mathematical Society 9 Letters in Mathematical Physics 9 Journal of Functional Analysis 8 Advances in Mathematics 8 The Journal of Geometric Analysis 7 Arkiv för Matematik 7 Journal of Differential Equations 7 Mathematische Annalen 6 Israel Journal of Mathematics 6 Applied Mathematics and Computation 6 Duke Mathematical Journal 6 Calculus of Variations and Partial Differential Equations 5 Journal of Geometry and Physics 5 Annales de l’Institut Fourier 5 Inventiones Mathematicae 5 Mathematische Nachrichten 5 Communications in Partial Differential Equations 5 Bulletin of the American Mathematical Society. New Series 5 Acta Mathematica Sinica. English Series 5 Journal of High Energy Physics 5 Annales Henri Poincaré 5 Annales Mathématiques du Québec 4 International Journal of Modern Physics A 4 Archive for Rational Mechanics and Analysis 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Acta Mathematica 3 Applicable Analysis 3 Communications on Pure and Applied Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 The Annals of Probability 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Bulletin de la Société Mathématique de France 3 Journal of Number Theory 3 Proceedings of the Japan Academy. Series A 3 Acta Applicandae Mathematicae 3 The Journal of Analysis 3 Bulletin of the American Mathematical Society 3 Journal de l’École Polytechnique – Mathématiques 2 Journal d’Analyse Mathématique 2 Mathematical Notes 2 Reviews in Mathematical Physics 2 Chaos, Solitons and Fractals 2 The Annals of Statistics 2 Archiv der Mathematik 2 Monatshefte für Mathematik 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Tôhoku Mathematical Journal. Second Series 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Differential Geometry and its Applications 2 Geometric and Functional Analysis. GAFA 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Stochastic Processes and their Applications 2 Applied and Computational Harmonic Analysis 2 Journal of Mathematical Sciences (New York) 2 Documenta Mathematica 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Portugaliae Mathematica. Nova Série 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 2 Journal of Pseudo-Differential Operators and Applications 2 Bulletin of Mathematical Sciences 1 Acta Mechanica 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Geometry 1 Journal of Multivariate Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quaestiones Mathematicae 1 SIAM Journal on Control and Optimization 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annals of Global Analysis and Geometry 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Journal of Complexity 1 Journal of the American Mathematical Society 1 Journal of Scientific Computing ...and 45 more Serials all top 5 Cited in 47 Fields 193 Partial differential equations (35-XX) 146 Global analysis, analysis on manifolds (58-XX) 42 Quantum theory (81-XX) 38 Number theory (11-XX) 38 Differential geometry (53-XX) 33 Operator theory (47-XX) 32 Ordinary differential equations (34-XX) 22 Special functions (33-XX) 16 Probability theory and stochastic processes (60-XX) 11 Mechanics of deformable solids (74-XX) 10 Topological groups, Lie groups (22-XX) 10 Functions of a complex variable (30-XX) 8 Potential theory (31-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Numerical analysis (65-XX) 7 Combinatorics (05-XX) 7 Abstract harmonic analysis (43-XX) 7 Functional analysis (46-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Algebraic geometry (14-XX) 5 Nonassociative rings and algebras (17-XX) 5 Measure and integration (28-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Relativity and gravitational theory (83-XX) 4 Manifolds and cell complexes (57-XX) 4 Statistics (62-XX) 4 Fluid mechanics (76-XX) 3 Convex and discrete geometry (52-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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