Distributional boundary values in 𝔇 L p ' . II

Richard D. Carmichael

Rendiconti del Seminario Matematico della Università di Padova (1971)

  • Volume: 45, page 249-277
  • ISSN: 0041-8994

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Carmichael, Richard D.. "Distributional boundary values in $\mathfrak {D}^{\prime } _{L^p}$. II." Rendiconti del Seminario Matematico della Università di Padova 45 (1971): 249-277. <http://eudml.org/doc/107379>.

@article{Carmichael1971,
author = {Carmichael, Richard D.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {249-277},
publisher = {Seminario Matematico of the University of Padua},
title = {Distributional boundary values in $\mathfrak \{D\}^\{\prime \} _\{L^p\}$. II},
url = {http://eudml.org/doc/107379},
volume = {45},
year = {1971},
}

TY - JOUR
AU - Carmichael, Richard D.
TI - Distributional boundary values in $\mathfrak {D}^{\prime } _{L^p}$. II
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1971
PB - Seminario Matematico of the University of Padua
VL - 45
SP - 249
EP - 277
LA - eng
UR - http://eudml.org/doc/107379
ER -

References

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  1. [1] Carmichael, Richard D.: Distributional Boundary Values in D'Lp, Rendiconti Sem. Mat. Università di Padova, 43 (1970), pp. 35-53. Zbl0235.46063MR278064
  2. [2] Hille, E., and Tamarkin, J.D.: On a Theorem of Paley and Wiener, Annals of Math., 34 (1933), pp. 606-614. Zbl0007.15703MR1503128JFM59.0424.01
  3. [3] Hille, E., and Tamarkin, J.D.: A Remark on Fourier Transforms and Functions Analytic in a Half-Plane, Compositio Math., 1 (1934), pp. 98-102. Zbl0008.30602JFM60.0347.01
  4. [4] Tillmann, H.G.: Distributionen als Randverteilungen analytischer Funktionen. II, Math. Zeitschift, 76 (1961), pp. 5-21. Zbl0097.09603MR125441
  5. [5] Luszczki, Z., and Zielezny, Z.: Distributionen Der Raume D'Lp Als Randverteilungen Analytischer Funktionen, Colloquim Math., 8 (1961), pp. 125-131. Zbl0201.16401MR126718
  6. [6] Beltrami, E.J., and Wohlers, M.R.: Distributional Boundary Value Theorems and Hilbert Transforms, Arch. Rational Mech. Anal., 18 (1965), pp. 304-309. Zbl0151.18204MR179611
  7. [7] Beltrami, E.J., and Wohlers, M.R.: Distributional Boundary Values of Functions Holomorphic in a Half Plane, J. Math. Mech., 15 (1966), pp. 137-146. Zbl0151.18301MR193246
  8. [8] Beltrami, E.J., and Wohlers, M.R.: Distributions and the Boundary Values of Analytic Functions, Academic Press, New York, 1966. Zbl0186.19202MR208362
  9. [9] Beltrami, E.J., and Wohlers, M.R.: The Cauchy Integral of Tempered Distributions and Some Theorems on Analytic Continuation, SIAM J. Appl. Math., 15 (1967), pp. 1077-1087. Zbl0164.15501MR236361
  10. [10] Schwartz, L.: Théorie des Distributions, Hermann, Paris, 1966. Zbl0962.46025MR209834
  11. [11] Hörmander, L.: Linear Partial Differential Operators, Springer-Verlag, Berlin, 1963. Zbl0108.09301MR404822
  12. [12] Vladimirov, V.S.: Methods of the Theory of Functions of Several Complex Variables, M.I.T. Press, Cambridge, Mass., 1966. MR201669
  13. [13] Carmichael, Richard D.: Functions Analytic in an Octant and Boundary Values of Distributions, J. Math. Analysis Appl., to appear 1971. Zbl0201.45001MR283566
  14. [14] Hoffman, Kenneth: Banach Spaces of Analytic Functions, Prentice-Hall, Englewood Cliffs, N. J., 1962. Zbl0734.46033MR133008
  15. [15] Titchmarsh, E.C.: Introduction to the Theory of Fourier Integrals, 2nd. Edition, Oxford Press, London, 1948. Zbl0017.40404JFM63.0367.05
  16. [16] Hille, E.: Analytic Function Theory, Vol. II, Ginn and Company, New York, 1962. Zbl0102.29401MR201608
  17. [17] Zygmund, A.: On the Boundary Values of Functions of Several Complex Variables, Fundamenta Math., 36 (1949), pp. 207-235. Zbl0040.19201MR35832
  18. [18] Zygmund, A.: Trigometric Series, Vols. I and II, 2nd. Edition, Cambridge University Press, London, 1968. MR236587
  19. [19] Bremermann, H.: Distributions, Complex Variables, and Fourier Transforms, Addison-Wesley, Reading, Mass., 1965. Zbl0151.18102MR208364
  20. [20] Carmichael, Richard D.: Distributions as the Boundary Values of Analytic Functions, Proc. Japan Acad., 45 (1969), pp. 861-865. Zbl0198.46505MR262819
  21. [21] Carmichael, Richard D.: Distributional Boundary Values of Functions Analytic in Tubular Radial Domains, Indiana U. Math. J. (formely J. Math. Mech.), to appear April, 1971. Zbl0207.12403MR414918
  22. [22] Bochner, S., and Martin, W.T.: Several Complex Variables, Princeton University Press, Princeton, N. J., 1948. Zbl0041.05205MR27863

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