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A family of Kučera spaces. (English) Zbl 0432.46039

MSC:
46F05 Topological linear spaces of test functions, distributions and ultradistributions
46M40 Inductive and projective limits in functional analysis
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References:
[1] Hewitt E., Ross K.: Abstract Harmonic Analysis, Vol. 1. Berlin: Springer Verlag. 1963. · Zbl 0115.10603
[2] Hewitt E., Ross K.: Abstract Harmonic Analysis, Vol. 2. Berlin: Springer Verlag. 1970. · Zbl 0213.40103
[3] Kučera J.: Fourier \(L_{2}\)-transform of distributions. Czech. Math. J. 19, 143-153 (1969). · Zbl 0176.42301
[4] Kučera J.: On multipliers of temperate distributions. Czech. Math. J. 21, 610-618 (1971). · Zbl 0224.46048
[5] Kučera J., McKennon K.: Certain topologies on the space of temperate distributions and its multipliers. Indiana Math. J. 24, 773-775 (1975). · Zbl 0301.46029
[6] Kučera J., McKennon K.: The topology on certain spaces of multipliers. Rocky Mountain J. of Math. 7, 377-383 (1977). · Zbl 0377.46024
[7] Larsen R.: An Introduction To The Theory Of Multipliers. Berlin: Springer Verlag. 1971. · Zbl 0213.13301
[8] McKennon K.: Multipliers, positive functional, positive-definite functions, and Fourier-Stieltjes transforms. Memoirs A.M.S., III, 1971. · Zbl 0214.13304
[9] Schaeffer H.: Topological Vector Spaces. New York: MacMillan Company 1966.
[10] Yosida K.: Functional Analysis. Berlin: Springer Verlag 1968. · Zbl 0152.32102
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