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Title: On the identity of minimal and maximal realizations related to Fourier series operators (English)
Author: Tervo, Jouko
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 41
Issue: 4
Year: 1991
Pages: 359-378
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Category: math
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MSC: 42B10
MSC: 47G30
idZBL: Zbl 0754.42009
idMR: MR1149044
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Date available: 2009-09-25T10:33:38Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/131886
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Reference: [1] BEALS R.: Advanced Mathematical Analysis.Gгaduate texts in mathematics. Spгingeг-Verlag, New Yoгk-Heidelberg-Beгlin, 1973. Zbl 0294.46029, MR 0530403
Reference: [2] BERGH J., LÖFSTRÖM J.: Interpolation Spaces.Die Grundlehren deг mathematischen Wissenschaften 223. Spгingeг-Verlag, Beгlin-Heidelberg-New York, 1976. Zbl 0344.46071
Reference: [3] BERS L., SCHECHTER M.: Elliptic equations.In: Partial diffeгential equations, by L. Bers, F.John, and M. Schechter. Lectures in applied mathematics (summer seminaг, Bouldeг (Colorado), 1957 III. Inteгscience Publishers, a division of John Willey and Sons, Inc, New Yoгk-London-Sydney, 1964, pp. 131-299. MR 0165224
Reference: [4] EELLS J.: Elliptic operatoгs on manifolds.Complex analysis and its applications I. International Centre for Theoretical Physics, Trieste. lnternatinal Atomic Energy Agency, Viena, 1976. MR 0482861
Reference: [5] HÖRMANDER L.: Linear Partial Differential Operators.Die Gгundlehren der mathematischen Wissenschaften 116. Springer-Verlag, Beгlin-Göttingen-Heidelbeгg, 1963. Zbl 0108.09301, MR 0161012
Reference: [6] KULESHOV A. A.: Linear equations in space of periodic generalized functions.Diffeг. Uгavn. 20 (1984), 308-315. MR 0735164
Reference: [7] POLIŠČUK V. N., PTAŠNIK B. I.: Peгiodic solutions of the system of paгtial diffeгential equations with constant coefficients.Ukr. Math. J. 32 (1980), 239-243.
Reference: [8] TERVO J.: Zuг Theorie der koerzitiven linearen partiellen Differentialoperatoren.Ann. Acad. Sci. Fenn., Ser. A. I, Diss. 45 (1983). MR 0697953
Reference: [9] TERVO J.: On compactness of Fourier series operators.Ber. Univ. Jyväskylä Math. Inst. 38 (1987). MR 0904273
Reference: [10] YOSIDA K.: Functional Analysis.Die Grundlehren der mathematishen Wissenschaften 123. Springer-Verlag, Berlin-Heidelberg-New York, 1974. Zbl 0286.46002, MR 0350358
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