@article{BSMF_1962__90__449_0, author = {Kotake, Takeshi and Narasimhan, Mudumbai S.}, title = {Regularity theorems for fractional powers of a linear elliptic operator}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {449--471}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {90}, year = {1962}, doi = {10.24033/bsmf.1584}, mrnumber = {26 #6819}, zbl = {0104.32503}, language = {en}, url = {http://www.numdam.org/articles/10.24033/bsmf.1584/} }
TY - JOUR AU - Kotake, Takeshi AU - Narasimhan, Mudumbai S. TI - Regularity theorems for fractional powers of a linear elliptic operator JO - Bulletin de la Société Mathématique de France PY - 1962 SP - 449 EP - 471 VL - 90 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.1584/ DO - 10.24033/bsmf.1584 LA - en ID - BSMF_1962__90__449_0 ER -
%0 Journal Article %A Kotake, Takeshi %A Narasimhan, Mudumbai S. %T Regularity theorems for fractional powers of a linear elliptic operator %J Bulletin de la Société Mathématique de France %D 1962 %P 449-471 %V 90 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.1584/ %R 10.24033/bsmf.1584 %G en %F BSMF_1962__90__449_0
Kotake, Takeshi; Narasimhan, Mudumbai S. Regularity theorems for fractional powers of a linear elliptic operator. Bulletin de la Société Mathématique de France, Tome 90 (1962), pp. 449-471. doi : 10.24033/bsmf.1584. http://www.numdam.org/articles/10.24033/bsmf.1584/
[1] On spectral functions belonging to an elliptic differential operator with variable coefficients, Math. Scand., t. 5, 1957, p. 241-254. | MR | Zbl
. -[2] Convergence and summability of eigenfunction expansions connected with elliptic differential operators, Medd. Lunds Univ. Mat. Sem., t. 15, 1959. | MR | Zbl
. -[3] Zeta functions and Green's functions for linear partial differential operators of elliptic type with constant coefficients, Annals of Math., Series 2, t. 57, 1953, p. 32-56. | MR | Zbl
. -[4] The eigenfunction expansion theorem for the general self-adjoint singular elliptic partial differential operator, I : The analytic foundation, Proc. Nat. Acad. Sc. U. S. A., t. 40, 1954, p. 454-459. | Zbl
. -[5] Eigenfunction expansions for singular elliptic operators, II : The Hilbert space argument, parabolic equations on open manifolds, Proc. Nat. Acad. Sc. U. S. A., t. 40, 1954, p. 459-463. | MR | Zbl
. -[6] On fundamental solutions of parabolic systems [in russian], Mat. Sbornik, t. 38, (80), 1956, p. 51-92. | MR
. -[7] On the differentiability of the solutions of the linear elliptic differential equations, Comm. pure and appl. Math., t. 6, 1953, p. 299-326. | MR | Zbl
. -[8] On the asymptotic properties of the spectral function belonging to a self-adjoint semi-bounded extension of an elliptic differential operator, Kungl. Fysiogr. Sallsk. Lund Forh., t. 24, 1954, n° 21, p. 1-18. | MR | Zbl
. -[9] Dirichlet's problem for linear elliptic partial differential equations, Math. Scand., t. 1, 1953, p. 55-72. | MR | Zbl
. -[10] Sur la régularité de certains noyaux associés à un opérateur elliptique, C. R. Acad. Sc. Paris, t. 252, 1961, p. 1549-1550. | MR | Zbl
and . -[11] Lectures on elliptic partial differential equations. - Bombay, Tata Institute of fundamental Research, 1957. | Zbl
. -[12] A generalization of Epstein zeta functions, Canadian J. Math., t. 1, 1947, p. 320-327. | MR | Zbl
. -[13] On the analyticity of the solutions of linear elliptic systems of partial differential equations, Comm. pure and appl. Math., t. 10, 1957, p. 271-290. | MR | Zbl
and . -[14] Analytic vectors, Annals of Math., t. 70, 1959, p. 572-615. | MR | Zbl
. -[15] Remarks on strongly elliptic partial differential equations, Comm. pure and appl. Math., t. 8, 1955, p. 648-674. | MR | Zbl
. -[16] Leçons d'analyse fonctionnelle, 3e éd. - Paris, Gauthier-Villars ; Budapest, Akademiai Kiodo, 1955. | Zbl
and . -[17] Théorie des distributions, Tome 1, 2e éd. - Paris, Hermann, 1957 (Act. scient. et ind., 1091-1245 ; Publ. Inst. Math. Univ. Strasbourg, 9). | Zbl
. -[18] Théorie des distributions, Tome 2. - Paris, Hermann, 1951 (Act. scient. et ind., 1122 ; Publ. Inst. Math. Univ. Strasbourg, 10). | Zbl
. -[19] Théorie des noyaux, Proc. Intern. Congr. Math. [11, 1950. Cambridge (Mass.)] ; p. 220-230. - Providence, American mathematical Society, 1952. | Zbl
. -[20] Linear transformations in Hilbert space and their applications to analysis. - New York, American mathematical Society, 1932 (American mathematical Society, Colloquim Publicalions, 15). | JFM | Zbl
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