Edit Profile (opens in new tab) Pleijel, Åke (b. 1913 d. 1989) Co-Author Distance 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 33 Publications have been cited 505 times in 465 Documents Cited by ▼ Year ▼ Some properties of the Eigenfunctions of the Laplace-operator on Riemannian manifolds. Zbl 0041.42701 Minakshisundaram, S.; Pleijel, Åke 255 1949 Remarks on Courant’s nodal line theorem. Zbl 0070.32604 Pleijel, Åke 76 1956 A study of certain Green’s functions with applications in the theory of vibrating membranes. Zbl 0055.08801 Pleijel, Åke 42 1954 On the eigenvalues and eigenfunctions of elastic plates. Zbl 0040.05403 Pleijel, Åke 33 1950 On Green’s functions and the eigenvalue-distribution of the three-dimensional membrane equation. Zbl 0056.09701 Pleijel, Åke 17 1954 On a theorem by P. Malliavin. Zbl 0126.11503 Pleijel, Åke 13 1963 On the boundary condition for the Legendre polynomials. Zbl 0355.34012 Pleijel, Åke 7 1976 Some remarks about the limit point and limit circle theory. Zbl 0281.34014 Pleijel, Åke 6 1969 Generalized Weyl circles. Zbl 0301.34025 Pleijel, Åke 5 1974 Propriétés asymptotiques des fonctions fondamentales du problème des vibrations dans un corps élastique. Zbl 0021.31803 Pleijel, Åke 5 1939 A survey of spectral theory for pairs of ordinary differential operators. Zbl 0327.34015 Pleijel, Åke 4 1975 Spectral theory for pairs of ordinary formally self-adjoint differential operators. Zbl 0242.34027 Pleijel, Åke 3 1971 On Legendre’s polynomials. Zbl 0333.33008 Pleijel, Åke 3 1976 Propriétés asymptotiques des fonctions et valeurs propres de certains problèmes de vibrations. JFM 66.0460.02 Pleijel, Å. 3 1940 Propriétés asymptotiques des fonctions fondamentales du problème des vibrations dans un corps élastique. JFM 65.0924.02 Pleijel, Å. 3 1939 Propriétés asymptotiques des fonctions et valeurs propres de certains problèmes de vibrations. Zbl 0023.12402 Pleijel, Åke 3 1940 Green’s functions and asymptotic distribution of eigenvalues and eigenfunctions. Zbl 0068.08503 Pleijel, Åke 3 1955 A bilateral Tauberian theorem. Zbl 0107.32001 Pleijel, Åke 3 1963 Certain indefinite differential eigenvalues problems. The asymptotic distribution of their eigenfunctions. Zbl 0111.09502 Pleijel, Åke 3 1961 Complementary remarks about the limit point and limit circle theory. Zbl 0214.34302 Pleijel, Åke 2 1969 On Green’s functions for elastic plates with clamped, supported and free edges. Zbl 0068.08502 Pleijel, Åke 2 1955 Quelques problèmes de vibrations et les méthodes directes du calcul des variations. Zbl 0028.36102 Pleijel, Åke 2 1943 Le problème spectral de certaines équations aux dérivées partielles. Zbl 0063.06283 Pleijel, Åke 2 1944 Differential equations. Proceedings from the Uppsala 1977 international conference on differential equations. Held at Uppsala, Sweden, April 18- 23, 1977. Zbl 0363.00008 1 1977 Selfadjoint extension of ordinary differential operators. Zbl 0305.47025 Bennewitz, Christer; Pleijel, Åke 1 1974 A positive symmetric ordinary differential operator combined with one of lower order. Zbl 0301.34024 Pleijel, Åke 1 1974 Sur les propriétés asymptotiques des fonctions et valeurs propres des plaques vibrantes. JFM 65.0430.03 Pleijel, Å. 1 1939 Quelques remarques sur certains problèmes de vibrations dégénérées. Zbl 0030.35605 Pleijel, Åke 1 1947 Asymptotic relations for the eigenfunctions of certain boundary problems of polar type. Zbl 0036.06802 Pleijel, Åke 1 1948 Sur les opérateurs différentiels de type elliptique. Zbl 0061.22405 Pleijel, Åke 1 1946 Remark to my previous paper on a bilateral Tauberian theorem. Zbl 0107.32002 Pleijel, Åke 1 1963 Sur la distribution des valeurs propres de problèmes regis par l’équation \(\Delta u+\lambda k(x,y)u=0\). Zbl 0028.06601 Pleijel, Åke 1 1943 On a theorem of Carleman. Zbl 0048.29603 Pleijel, Åke 1 1952 Differential equations. Proceedings from the Uppsala 1977 international conference on differential equations. Held at Uppsala, Sweden, April 18- 23, 1977. Zbl 0363.00008 1 1977 On the boundary condition for the Legendre polynomials. Zbl 0355.34012 Pleijel, Åke 7 1976 On Legendre’s polynomials. Zbl 0333.33008 Pleijel, Åke 3 1976 A survey of spectral theory for pairs of ordinary differential operators. Zbl 0327.34015 Pleijel, Åke 4 1975 Generalized Weyl circles. Zbl 0301.34025 Pleijel, Åke 5 1974 Selfadjoint extension of ordinary differential operators. Zbl 0305.47025 Bennewitz, Christer; Pleijel, Åke 1 1974 A positive symmetric ordinary differential operator combined with one of lower order. Zbl 0301.34024 Pleijel, Åke 1 1974 Spectral theory for pairs of ordinary formally self-adjoint differential operators. Zbl 0242.34027 Pleijel, Åke 3 1971 Some remarks about the limit point and limit circle theory. Zbl 0281.34014 Pleijel, Åke 6 1969 Complementary remarks about the limit point and limit circle theory. Zbl 0214.34302 Pleijel, Åke 2 1969 On a theorem by P. Malliavin. Zbl 0126.11503 Pleijel, Åke 13 1963 A bilateral Tauberian theorem. Zbl 0107.32001 Pleijel, Åke 3 1963 Remark to my previous paper on a bilateral Tauberian theorem. Zbl 0107.32002 Pleijel, Åke 1 1963 Certain indefinite differential eigenvalues problems. The asymptotic distribution of their eigenfunctions. Zbl 0111.09502 Pleijel, Åke 3 1961 Remarks on Courant’s nodal line theorem. Zbl 0070.32604 Pleijel, Åke 76 1956 Green’s functions and asymptotic distribution of eigenvalues and eigenfunctions. Zbl 0068.08503 Pleijel, Åke 3 1955 On Green’s functions for elastic plates with clamped, supported and free edges. Zbl 0068.08502 Pleijel, Åke 2 1955 A study of certain Green’s functions with applications in the theory of vibrating membranes. Zbl 0055.08801 Pleijel, Åke 42 1954 On Green’s functions and the eigenvalue-distribution of the three-dimensional membrane equation. Zbl 0056.09701 Pleijel, Åke 17 1954 On a theorem of Carleman. Zbl 0048.29603 Pleijel, Åke 1 1952 On the eigenvalues and eigenfunctions of elastic plates. Zbl 0040.05403 Pleijel, Åke 33 1950 Some properties of the Eigenfunctions of the Laplace-operator on Riemannian manifolds. Zbl 0041.42701 Minakshisundaram, S.; Pleijel, Åke 255 1949 Asymptotic relations for the eigenfunctions of certain boundary problems of polar type. Zbl 0036.06802 Pleijel, Åke 1 1948 Quelques remarques sur certains problèmes de vibrations dégénérées. Zbl 0030.35605 Pleijel, Åke 1 1947 Sur les opérateurs différentiels de type elliptique. Zbl 0061.22405 Pleijel, Åke 1 1946 Le problème spectral de certaines équations aux dérivées partielles. Zbl 0063.06283 Pleijel, Åke 2 1944 Quelques problèmes de vibrations et les méthodes directes du calcul des variations. Zbl 0028.36102 Pleijel, Åke 2 1943 Sur la distribution des valeurs propres de problèmes regis par l’équation \(\Delta u+\lambda k(x,y)u=0\). Zbl 0028.06601 Pleijel, Åke 1 1943 Propriétés asymptotiques des fonctions et valeurs propres de certains problèmes de vibrations. JFM 66.0460.02 Pleijel, Å. 3 1940 Propriétés asymptotiques des fonctions et valeurs propres de certains problèmes de vibrations. Zbl 0023.12402 Pleijel, Åke 3 1940 Propriétés asymptotiques des fonctions fondamentales du problème des vibrations dans un corps élastique. Zbl 0021.31803 Pleijel, Åke 5 1939 Propriétés asymptotiques des fonctions fondamentales du problème des vibrations dans un corps élastique. JFM 65.0924.02 Pleijel, Å. 3 1939 Sur les propriétés asymptotiques des fonctions et valeurs propres des plaques vibrantes. JFM 65.0430.03 Pleijel, Å. 1 1939 all cited Publications top 5 cited Publications all top 5 Cited by 544 Authors 33 Zayed, Elsayed M. E. 20 Helffer, Bernard 12 Bérard, Pierre H. 8 Berkolaiko, Gregory 8 Kirsten, Klaus 7 Awonusika, Richard Olu 6 Band, Ram 6 Brüning, Jochen 6 Liu, Genqian 5 Cheng, Qingming 5 Jorgenson, Jay Alan 5 Léna, Corentin 5 Littlejohn, Lance L. 5 Pleijel, Åke 5 Ugurlu, Ekin 5 Williams, Floyd L. 4 Abdel Halim, I. H. 4 Fucci, Guglielmo 4 Laurence, Peter 4 Marzuola, Jeremy Louis 4 Rădulescu, Vicenţiu D. 3 Alon, Lior 3 Bairamov, Elgiz 3 Branson, Thomas Patrick 3 Canzani, Yaiza 3 Cox, Graham 3 Donnelly, Harold 3 Elizalde, Emilio 3 Freitas, Pedro 3 Gilkey, Peter B. 3 Gittins, Katie 3 Hajli, Mounir 3 Kurasov, Pavel B. 3 Kushpel, Alexander K. 3 Lundelius, Rolf E. 3 Polterovich, Iosif 3 Ramacher, Pablo 3 Seeley, Robert Thomas 3 Smilansky, Uzy 3 Steinerberger, Stefan 3 Taş, Kenan 3 Wei, Guoxin 3 Yang, Jun 2 Agmon, Shmuel 2 Alonso-Orán, Diego 2 Atiyah, Michael Francis 2 Bartolucci, Daniele 2 Bayer, Christian 2 Beals, Richard W. 2 Beck, Thomas L. 2 Benguria, Rafael D. 2 Bobkov, Vladimir E. 2 Bolte, Jens 2 Bott, Raoul Harry 2 Bureau, Florent J. 2 Buser, Peter 2 Bytsenko, Andrei A. 2 Camporesi, Roberto 2 Chen, Daguang 2 Cipriani, Alessandra 2 Cognola, Guido 2 Colbois, Bruno 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 Feng, Yuanyuan 2 Forde, Martin 2 Frank, Rupert L. 2 Fujii, Akio 2 Grabner, Peter J. 2 Greiner, Peter C. 2 Gromes, Dieter 2 Gromes, Wolfgang 2 Grubb, Gerd 2 Günther, Paul 2 Hassannezhad, Asma 2 Hazra, Rajat Subhra 2 Heintze, Ernst 2 Hillairet, Luc 2 Hoffmann-Ostenhof, Thomas 2 Iyer, Gautam 2 Jakobson, Dmitry 2 Kannai, Yakar 2 Karlsson, Anders 2 Kennedy, James Bernard 2 Kim, Peter T. 2 Kiwan, Rola 2 Lin, Samuel 2 Lipovský, Jiří 2 Lord, Steven 2 Luyen, Duong Trong 2 Malchiodi, Andrea 2 Martelli, Dario 2 Martínez, Ángel David 2 Mitchell, Jeffrey J. 2 Moroianu, Sergiu ...and 444 more Authors all top 5 Cited in 165 Serials 17 Journal of Mathematical Physics 16 Journal of Mathematical Analysis and Applications 13 Communications in Mathematical Physics 13 Transactions of the American Mathematical Society 11 Applied Mathematics and Computation 10 Letters in Mathematical Physics 10 Journal of Functional Analysis 10 Mathematische Zeitschrift 10 Proceedings of the American Mathematical Society 9 The Journal of Geometric Analysis 8 Advances in Mathematics 8 Journal of Differential Equations 8 Calculus of Variations and Partial Differential Equations 7 Arkiv för Matematik 7 Mathematische Annalen 6 Israel Journal of Mathematics 6 Annales de l’Institut Fourier 6 Duke Mathematical Journal 6 Inventiones Mathematicae 6 Annales Henri Poincaré 5 Archive for Rational Mechanics and Analysis 5 Chaos, Solitons and Fractals 5 Journal of Geometry and Physics 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 Mathématiques du Québec 4 International Journal of Modern Physics A 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Acta Mathematica 3 Applicable Analysis 3 Communications on Pure and Applied Mathematics 3 Mathematical Methods in the Applied Sciences 3 Mathematical Notes 3 Nuclear Physics. B 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 The Annals of Probability 3 The Annals of Statistics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Bulletin of the London Mathematical Society 3 Bulletin de la Société Mathématique de France 3 Journal of Number Theory 3 Proceedings of the Japan Academy. Series A 3 Results in Mathematics 3 Acta Applicandae Mathematicae 3 The Journal of Analysis 3 Applied and Computational Harmonic Analysis 3 Bulletin of the American Mathematical Society 3 Journal of Physics A: Mathematical and Theoretical 3 Journal de l’École Polytechnique – Mathématiques 2 Journal d’Analyse Mathématique 2 Nonlinearity 2 Reviews in Mathematical Physics 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 2 Journal of Differential Geometry 2 Monatshefte für Mathematik 2 Quaestiones Mathematicae 2 Siberian Mathematical Journal 2 Tôhoku Mathematical Journal. Second Series 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Numerical Mathematics 2 Journal of Complexity 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 Journal of Nonlinear Science 2 Potential Analysis 2 Journal of Mathematical Sciences (New York) 2 Turkish Journal of Mathematics 2 Bulletin des Sciences Mathématiques 2 Documenta Mathematica 2 Revista Matemática Complutense 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Portugaliae Mathematica. Nova Série 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Communications on Pure and Applied Analysis 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 2 Complex Variables and Elliptic Equations 2 Journal of Pseudo-Differential Operators and Applications 2 Bulletin of Mathematical Sciences 1 Modern Physics Letters A 1 Acta Mechanica 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Biology 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics ...and 65 more Serials all top 5 Cited in 50 Fields 228 Partial differential equations (35-XX) 172 Global analysis, analysis on manifolds (58-XX) 53 Quantum theory (81-XX) 50 Differential geometry (53-XX) 43 Number theory (11-XX) 43 Operator theory (47-XX) 42 Ordinary differential equations (34-XX) 24 Special functions (33-XX) 21 Probability theory and stochastic processes (60-XX) 13 Functions of a complex variable (30-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Functional analysis (46-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Mechanics of deformable solids (74-XX) 11 Combinatorics (05-XX) 11 Potential theory (31-XX) 10 Topological groups, Lie groups (22-XX) 10 Numerical analysis (65-XX) 9 Approximations and expansions (41-XX) 8 Abstract harmonic analysis (43-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Relativity and gravitational theory (83-XX) 6 Algebraic geometry (14-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Fluid mechanics (76-XX) 5 Measure and integration (28-XX) 5 Statistics (62-XX) 4 Nonassociative rings and algebras (17-XX) 4 Manifolds and cell complexes (57-XX) 3 Convex and discrete geometry (52-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-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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