| Title:
|
Translation invariant linear operators and generalized functions (English) |
| Author:
|
Swartz, Charles |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
25 |
| Issue:
|
2 |
| Year:
|
1975 |
| Pages:
|
202-213 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
46F10 |
| MSC:
|
47B37 |
| idZBL:
|
Zbl 0312.46050 |
| idMR:
|
MR0380395 |
| DOI:
|
10.21136/CMJ.1975.101311 |
| . |
| Date available:
|
2008-06-09T14:11:57Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101311 |
| . |
| Reference:
|
[I] E. J. Beltram, M. R. Wohlers: Distributions and the Boundary Values of Analytic Functions.Academic Press, New York, 1966. MR 0208362 |
| Reference:
|
[2] M. De Wilde, J. Schmets: Sur la structure de certaines distributions.Bull. Royal Society Liege, 59 (1970), 232-239. Zbl 0203.43801, MR 0273393 |
| Reference:
|
[3] W. Donoghue: Distributions and Fourier Transforms.Academic Press, New York, 1969. Zbl 0188.18102 |
| Reference:
|
[4] R. E. Edwards: Functional Analysis.Holt, Rinehart and Winston, New York, 1965. Zbl 0182.16101, MR 0221256 |
| Reference:
|
[5] L. Ehrenpreis: Fourier Analysis in Several Complex Variables.Wiley, New York, 1970. Zbl 0195.10401, MR 0285849 |
| Reference:
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[6] K. Floret, J. Wloka: Einführung in die Theorie der lokalkonvexen Räume.Springer-Verlag, Berlin, 1968. Zbl 0155.45101, MR 0226355 |
| Reference:
|
[7] A. Friedman: Generalized Functions and Partial Differential Equations.Prentice-Hall, Inc. Englewood Cliffs, New Jersey, 1963. Zbl 0116.07002, MR 0165388 |
| Reference:
|
[8] I. M. Gelfand Sind G. E. Shilov: Generalized Functions II.Academic Press, New York 1968. MR 0230128 |
| Reference:
|
[9] M. Hasumi: Note on the n-Dimensional Tempered Ultra-Distributions.Tohoku Math. Jour., 13 (1961), 94-104. Zbl 0103.09201, MR 0131759, 10.2748/tmj/1178244354 |
| Reference:
|
[10] L. Hörmander: Estimates for Translation Invariant Operators in $L^p$.Acta. Math., 104 (1960), 93-140. MR 0121655, 10.1007/BF02547187 |
| Reference:
|
[11] J. Horváth: Topological Vector Spaces and Distributions.Addison-Wesley, Reading, Mass., 1966. MR 0205028 |
| Reference:
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[12] H. Ogata, K. Yoshinaga: On Convolutions.Jour. Sci. Hiroshima Univ., 22 (1958), 15-24. Zbl 0088.33202, MR 0107810, 10.32917/hmj/1555639564 |
| Reference:
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[13] J. F. Price: Multipliers Between Some Spaces of Distributions.J. Australian Math. Soc, 9 (1959), 415-423. MR 0246115, 10.1017/S1446788700007345 |
| Reference:
|
[14] L. Schwartz: Theorie des distributions.Hermann, Paris, 1966. Zbl 0149.09501, MR 0209834 |
| Reference:
|
[15] L. Schwartz: Theorie des distributions a valeurs vectorielles.Ann. Inst. Fourier, 7 (1957), 1-141. Zbl 0089.09601, MR 0107812, 10.5802/aif.68 |
| Reference:
|
[16] R. Struble: On Operators and Distributions.Canad. Math. Bull. 11 (1968), 61 - 64. Zbl 0179.20002, MR 0233199, 10.4153/CMB-1968-008-1 |
| Reference:
|
[17] C. Swartz: Convolution in $K\{M\sb{p}\}$ Spaces.Rocky Mountain Math. Jour. |
| Reference:
|
[18] С Swartz: Continuous Linear Functionals on Certain $K\{M\sb{p}\}$ Spaces.SIAM. J. Math. Anal. |
| Reference:
|
[19] S. Sznajder: On Some Classes of Distributions.Colloq. Math. 23 (1971), 133-139. Zbl 0223.46039, MR 0308776, 10.4064/cm-23-1-133-139 |
| Reference:
|
[20] F. Treves: Topological Vector Spaces.Distributions and Kernels, Acad. Press, New York, 1967. Zbl 0171.10402, MR 0225131 |
| Reference:
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[21] J. Wloka: Grundräume und verallgeminerte Funktionen.Springer-Verlag, Berlin, 1969. MR 0487435 |
| Reference:
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[22] K. Yoshinaga: On Spaces of Distributions of Exponential Growth.Bull. Kyushu Inst. Tech., 6 (1960), 1-16. Zbl 0166.39803, MR 0126717 |
| Reference:
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[23] Z. Zielezny: On the space of convolution operators in $K'_1$.Studia Math., 31 (1968), 110-124. MR 0248520, 10.4064/sm-31-2-111-124 |
| . |
