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On the smoothness of fourier transforms

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1070)

Keywords

  • Fourier Transform
  • Orthogonal Polynomial
  • Bounded Linear Operator
  • General Rearrangement
  • Type Inequality

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References

  1. Freud, G.: On direct and converse theorems in the theory of weighted polynomial approximation. Math. Z. 126, 123–134 (1972).

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  2. Freud, G., Mhaskar, H.N.: K-functionals and moduli of continuity in weighted polynomial approximation. Ark. Mat. 21, 145–161 (1983).

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  3. 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.

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  4. Szegö, G.: Orthogonal polynomials. Colloquium Publications, vol. 23. Providence: American Mathematical Society 1975.

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  5. 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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13363-6

  • Online ISBN: 978-3-540-38913-2

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