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On the role of hardy spaces in form factor bounds

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Abstract

Functions of the space H p (1≤p≤∞) of the unit disc and upper half-plane are characterized by their distributional boundary values and asymptotic behaviour.

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References

  1. HoffmanK., Banach Spaces of Analytic Functions, Prentice-Hall, N.J., 1962.

    Google Scholar 

  2. DurenP.L., Theory of H p Spaces, Academic Press, New York, 1970.

    Google Scholar 

  3. OkuboS., Dispersion Inequalities, Proc. 1972 Coral Gables Conf. on Fundamental Interactions at High Energy, Plenum Press, New York, 1973.

    Google Scholar 

  4. Singh, V., and Raina, A.K., Bounds on Form Factors and Propagators, Proc. of the Winter School in Higher Energy Physics, Panchgani, Dec. 1977.

  5. MahouxG., Structural Analysis of Collision Amplitudes, R.Balian and D.Iagolnitzer, (Eds.), North-Holland, Amsterdam, 1976, p. 361.

    Google Scholar 

  6. MeschkowskiH., Hilbertsche Räume mit Kernfunktion, Springer-Verlag, Berlin, 1962.

    Google Scholar 

  7. Raina, A.K., and Singh, V., ‘Exact Solution of a Meiman Problem with an Application to the Muon Magnetic Moment’, Nucl. Phys. B (in press).

  8. RainaA.K., and SinghV., J. Phys. G3, 315 (1977).

    Google Scholar 

  9. AubersonG., EpeleE., MahouxG., and SamaõF.R.A., Ann. Inst. Henri Poincaré XXII, 317 (1975), see p. 320.

    Google Scholar 

  10. SchwartzL., Méthodes Mathématiques pour les Sciences Physiques, Herman, Paris, 1961.

    Google Scholar 

  11. Peetre, J., H p Spaces, Lecture Notes, Lund, 1975.

  12. RudinW., Lectures on the Edge-of-the-Wedge Theorem, Amer. Math. Soc., Providence, R.I., 1971.

    Google Scholar 

  13. KötheG., Math. Zeit., 57, 13 (1952).

    Google Scholar 

  14. Barth, K.F., and Schneider, W.J., Ann. Acad. Sci. Fenn. Ser. AI, No. 432 (1968).

  15. Gel'fandI.M., and ShilovG.E., Generalized Functions, Vol. 2, Academic Press, New York, 1968.

    Google Scholar 

  16. FriedmanA., Generalized Functions and Partial Differential Equations, Prentice-Hall, N.J., 1963.

    Google Scholar 

  17. ConstantinescuF., J. Math. Phys. 12, 293 (1971).

    Google Scholar 

  18. JaffeA.M., Phys. Rev. 158, 1454 (1967).

    Google Scholar 

  19. DeJagerE.M., Indag Math. 25, 532 (1963); Lauwerier, H.A., Arch. Ratl. Mech. Anal. 13, 157 (1963).

    Google Scholar 

  20. TitchmarshE.C., Introduction to the Theory of Fourier Integrals, Oxford Univ. Press, London, 1948, p. 126.

    Google Scholar 

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  1. Tata Institute of Fundamental Research, Homi Bhabha Road, 400005, Bombay, India

    A. K. Raina

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  1. A. K. Raina
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Raina, A.K. On the role of hardy spaces in form factor bounds. Lett Math Phys 2, 513–519 (1978). https://doi.org/10.1007/BF00398505

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  • DOI: https://doi.org/10.1007/BF00398505

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