@article{10_21136_CMJ_1975_101311,
author = {Swartz, Charles},
title = {Translation invariant linear operators and generalized functions},
journal = {Czechoslovak Mathematical Journal},
pages = {202--213},
year = {1975},
volume = {25},
number = {2},
doi = {10.21136/CMJ.1975.101311},
mrnumber = {0380395},
zbl = {0312.46050},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101311/}
}
TY - JOUR AU - Swartz, Charles TI - Translation invariant linear operators and generalized functions JO - Czechoslovak Mathematical Journal PY - 1975 SP - 202 EP - 213 VL - 25 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101311/ DO - 10.21136/CMJ.1975.101311 LA - en ID - 10_21136_CMJ_1975_101311 ER -
Swartz, Charles. Translation invariant linear operators and generalized functions. Czechoslovak Mathematical Journal, Tome 25 (1975) no. 2, pp. 202-213. doi: 10.21136/CMJ.1975.101311
[I] E. J. Beltram, M. R. Wohlers: Distributions and the Boundary Values of Analytic Functions. Academic Press, New York, 1966. | MR
[2] M. De Wilde, J. Schmets: Sur la structure de certaines distributions. Bull. Royal Society Liege, 59 (1970), 232-239. | MR | Zbl
[3] W. Donoghue: Distributions and Fourier Transforms. Academic Press, New York, 1969. | Zbl
[4] R. E. Edwards: Functional Analysis. Holt, Rinehart and Winston, New York, 1965. | MR | Zbl
[5] L. Ehrenpreis: Fourier Analysis in Several Complex Variables. Wiley, New York, 1970. | MR | Zbl
[6] K. Floret, J. Wloka: Einführung in die Theorie der lokalkonvexen Räume. Springer-Verlag, Berlin, 1968. | MR | Zbl
[7] A. Friedman: Generalized Functions and Partial Differential Equations. Prentice-Hall, Inc. Englewood Cliffs, New Jersey, 1963. | MR | Zbl
[8] I. M. Gelfand Sind G. E. Shilov: Generalized Functions II. Academic Press, New York 1968. | MR
[9] M. Hasumi: Note on the n-Dimensional Tempered Ultra-Distributions. Tohoku Math. Jour., 13 (1961), 94-104. | DOI | MR | Zbl
[10] L. Hörmander: Estimates for Translation Invariant Operators in $L^p$. Acta. Math., 104 (1960), 93-140. | DOI | MR
[11] J. Horváth: Topological Vector Spaces and Distributions. Addison-Wesley, Reading, Mass., 1966. | MR
[12] H. Ogata, K. Yoshinaga: On Convolutions. Jour. Sci. Hiroshima Univ., 22 (1958), 15-24. | DOI | MR | Zbl
[13] J. F. Price: Multipliers Between Some Spaces of Distributions. J. Australian Math. Soc, 9 (1959), 415-423. | DOI | MR
[14] L. Schwartz: Theorie des distributions. Hermann, Paris, 1966. | MR | Zbl
[15] L. Schwartz: Theorie des distributions a valeurs vectorielles. Ann. Inst. Fourier, 7 (1957), 1-141. | DOI | MR | Zbl
[16] R. Struble: On Operators and Distributions. Canad. Math. Bull. 11 (1968), 61 - 64. | DOI | MR | Zbl
[17] C. Swartz: Convolution in $K\{M\sb{p}\}$ Spaces. Rocky Mountain Math. Jour.
[18] С Swartz: Continuous Linear Functionals on Certain $K\{M\sb{p}\}$ Spaces. SIAM. J. Math. Anal.
[19] S. Sznajder: On Some Classes of Distributions. Colloq. Math. 23 (1971), 133-139. | DOI | MR | Zbl
[20] F. Treves: Topological Vector Spaces. Distributions and Kernels, Acad. Press, New York, 1967. | MR | Zbl
[21] J. Wloka: Grundräume und verallgeminerte Funktionen. Springer-Verlag, Berlin, 1969. | MR
[22] K. Yoshinaga: On Spaces of Distributions of Exponential Growth. Bull. Kyushu Inst. Tech., 6 (1960), 1-16. | MR | Zbl
[23] Z. Zielezny: On the space of convolution operators in $K'_1$. Studia Math., 31 (1968), 110-124. | DOI | MR
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