Title:
|
On the identity of minimal and maximal realizations related to Fourier series operators (English) |
Author:
|
Tervo, Jouko |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
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0139-9918 |
Volume:
|
41 |
Issue:
|
4 |
Year:
|
1991 |
Pages:
|
359-378 |
. |
Category:
|
math |
. |
MSC:
|
42B10 |
MSC:
|
47G30 |
idZBL:
|
Zbl 0754.42009 |
idMR:
|
MR1149044 |
. |
Date available:
|
2009-09-25T10:33:38Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131886 |
. |
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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