Keywords
- Fourier Transform
- Orthogonal Polynomial
- Bounded Linear Operator
- General Rearrangement
- Type Inequality
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References
Freud, G.: On direct and converse theorems in the theory of weighted polynomial approximation. Math. Z. 126, 123–134 (1972).
Freud, G., Mhaskar, H.N.: K-functionals and moduli of continuity in weighted polynomial approximation. Ark. Mat. 21, 145–161 (1983).
Mhaskar, H.N.: Weighted analogues of Nikolskii-type inequalities and their applications. In: Conf. Harmonic Anal. in Honor of A. Zygmund (Beckneret al. eds.). Vol. II., pp. 783–801. Belmont: Wadsworth 1983.
Szegö, G.: Orthogonal polynomials. Colloquium Publications, vol. 23. Providence: American Mathematical Society 1975.
Wiener, N.: The Fourier integral and certain of its applications. New York: Cambridge University Press 1933.
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© 1984 Springer-Verlag
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Mhaskar, H.N. (1984). On the smoothness of fourier transforms. In: Cwikel, M., Peetre, J. (eds) Interpolation Spaces and Allied Topics in Analysis. Lecture Notes in Mathematics, vol 1070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099102
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DOI: https://doi.org/10.1007/BFb0099102
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