@article{CM_1968__19_3_196_0, author = {Nessel, R. J. and Pawelke, A.}, title = {\"Uber {Favardklassen} von {Summationsprozessen} mehrdimensionaler {Fourierreihen}}, journal = {Compositio Mathematica}, pages = {196--212}, publisher = {Wolters-Noordhoff Publishing}, volume = {19}, number = {3}, year = {1968}, mrnumber = {230015}, zbl = {0176.35501}, language = {de}, url = {http://www.numdam.org/item/CM_1968__19_3_196_0/} }
TY - JOUR AU - Nessel, R. J. AU - Pawelke, A. TI - Über Favardklassen von Summationsprozessen mehrdimensionaler Fourierreihen JO - Compositio Mathematica PY - 1968 SP - 196 EP - 212 VL - 19 IS - 3 PB - Wolters-Noordhoff Publishing UR - http://www.numdam.org/item/CM_1968__19_3_196_0/ LA - de ID - CM_1968__19_3_196_0 ER -
Nessel, R. J.; Pawelke, A. Über Favardklassen von Summationsprozessen mehrdimensionaler Fourierreihen. Compositio Mathematica, Tome 19 (1968) no. 3, pp. 196-212. http://www.numdam.org/item/CM_1968__19_3_196_0/
Theory of Bessel potentials. I. Ann. Inst. Fourier 11, (1961), 385-475. | Numdam | Zbl
and , [1]Approximationssätze für Halbgruppenoperatoren in intermediären Räumen. Schriftenreihe Math. Inst. Univ. Münster, H. 32 (1964), 1-59. | MR | Zbl
, [2]Equivalent representations for the infinitesimal generator of higher orders in semi-group theory. Nederl. Akad. Wetensch. Proc. Ser. A 68and Indag. Math. 27 (1965), 497-512. | Zbl
, [3]Über einen Darstellungssatz für Funktionen als Fourierintegrale und Anwendungen in der Fourieranalysis. Töhoku Math. Journ. 18 (1966), 429-453. | Zbl
und , [4]Summation of multiple Fourier series by spherical means, Trans. Amer. Math. Soc. 40 (1936), 175-207. | JFM | Zbl
, [5]Quasi-analytic functions, Laplace operator, positive kernels, Ann. of Math. 51 (1950), 68-91. | MR | Zbl
, [6]Lectures on Fourier integrals. Princeton 1959. | Zbl
, [7]Harmonic analysis and the theory of probability. Los Angeles 1960.
, [8]Über den Grad der Approximation des Identitätsoperators durch Halbgruppen von linearen Operatoren und Anwendungen auf die Theorie der singulären Integrale. Math. Ann. 133 (1957), 410-425. | Zbl
, [9]Fourier transform methods in the theory of approximation. Arch. Rat. Mech. Anal. 5 (1960), 390-415. | Zbl
, [10]Integral transform methods in the theory of approximation. In: On Approximation theory (Proceedings of the Conference held in the Math. Research Institute at Oberwolfach, 1963). ISNM, vol. 5, Basel (1964), 12-23. | MR | Zbl
, [11]Saturationsklassen und asymptotische Eigenschaften trigonometrischer singulärer Integrale. Arbeitsgemeinschaft für Forschung des Landes NRW, Bd. 33 (Festschrift zur Gedächtnisfeier für Karl Weierstraß, 1815-1965), Westdt. Verlag, Köln 1966, 339-392. | MR | Zbl
und , [12]Favard classes for n-dimensional singular integrals. Bull. Amer. Math. Soc. 72 (1966), 493-498. | MR | Zbl
and , [13]Contributions to the theory of saturation for singular integrals in several variables. I. Nederl. Akad. Wetensch. Proc. Ser. A. 69and Indag. Math. 28 (1966), 515-531. | MR | Zbl
and , [14]Approximation theorems for the solution of Fourier's problem and Dirichlet's problem. Math. Ann. 155 (1964), 316-330. | MR | Zbl
and , [15]Sur l'approximation des fonctions d'une variable réelle. Colloque d'Anal. Harmon. Publ. C.N.R.S. Paris 15 (1949), 97-110. | MR | Zbl
, [16]Contributions to the theory of saturation for singular integrals in several variables, II, III. Nederl. Akad. Wetensch. Proc. Ser. A 70and Indag Math. 29 (1967), 52-73. | MR | Zbl
, [17]Fourier series in several variables. Bull. Amer. Math. Soc. 70 (1964), 48-93. | MR | Zbl
, [18]On determination of the class of saturation in the theory of approximation, I. Proc. Japan. Acad. 34 (1958), 477-481;II, Töhoku Math. Journ. 11 (1959), 480-488. | Zbl
and , [19]On the theory of Lipschitz spaces of distributions on Euclidean n-space. J. Math. Mech. 13 (1964), 407-479. | Zbl
, [20]