Distributional boundary values in 𝔇 L p ' . V

Richard D. Carmichael; Stephen P. Richters

Rendiconti del Seminario Matematico della Università di Padova (1983)

  • Volume: 70, page 55-76
  • ISSN: 0041-8994

How to cite

top

Carmichael, Richard D., and Richters, Stephen P.. "Distributional boundary values in $\mathfrak {D}^{\prime } _{L^p}$. V." Rendiconti del Seminario Matematico della Università di Padova 70 (1983): 55-76. <http://eudml.org/doc/107922>.

@article{Carmichael1983,
author = {Carmichael, Richard D., Richters, Stephen P.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = { functions in tubes; distributional boundary value; Fourier- Laplace integral representations; Poisson integral representations},
language = {eng},
pages = {55-76},
publisher = {Seminario Matematico of the University of Padua},
title = {Distributional boundary values in $\mathfrak \{D\}^\{\prime \} _\{L^p\}$. V},
url = {http://eudml.org/doc/107922},
volume = {70},
year = {1983},
}

TY - JOUR
AU - Carmichael, Richard D.
AU - Richters, Stephen P.
TI - Distributional boundary values in $\mathfrak {D}^{\prime } _{L^p}$. V
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1983
PB - Seminario Matematico of the University of Padua
VL - 70
SP - 55
EP - 76
LA - eng
KW - functions in tubes; distributional boundary value; Fourier- Laplace integral representations; Poisson integral representations
UR - http://eudml.org/doc/107922
ER -

References

top
  1. [1] S. Bochner, Group invariance of Cauchy's formula in several variables, Ann. of Math., 45 (1944), pp. 686-707. Zbl0060.24301MR11131
  2. [2] S. Bochner - K. Chandrasekharan, Fourier Transforms, Princeton University Press, Princeton, N. J., 1949. Zbl0065.34101MR31582
  3. [3] R.D. Carmichael, Distributional boundary values in D'Lp, Rend. Sem. Mat. Univ. Padova, 43 (1970), pp. 35-53. Zbl0235.46063MR278064
  4. [4] R.D. Carmichael, Distributional boundary values in DLp - II, Rend. Sem. Mat. Univ. Padova, 45 (1971), pp. 249-277. Zbl0229.46042MR301507
  5. [5] R.D. Carmichael, Distributional boundary values in DLp - III, Rend. Sem. Mat. Univ. Padova, 48 (1973), pp. 137-158. Zbl0276.46018MR440060
  6. [6] R.D. Carmichael, Distributional boundary values in DL'p IV, Rend. Sem. Mat. Univ. Padova, 63 (1980), pp. 203-214. Zbl0452.46020MR605794
  7. [7] R.D. Carmichael, Functions analytic in an octant and boundary values of distributions, J. Math. Anal. Appl., 33 (1971), pp. 616-626. Zbl0206.12502MR283566
  8. [8] R.D. Carmichael, Generalized Cauchy and Poisson integrals and distributional boundary values, SIAM J. Math. Anal., 4 (1973), pp. 198-219. Zbl0225.46035MR350054
  9. [9] R.D. Carmichael - E.K. Hayashi, Analytic functions in tubes which are representable by Fourier-Laplace integrals, Pacific J. Math., 90 (1980), pp. 51-61. Zbl0453.32001MR599319
  10. [10] R.D. Carmichael - S.P. Richters, Growth of Hp functions in tubes, Internat. J. Math. Math. Sci., 4 (1981), pp. 435-443. Zbl0496.32002MR622314
  11. [11] R.D. Carmichael - S.P. Richters, Holomorphic functions in tubes which have distributional boundary values and which are HP functions, SIAM J. Math. Anal., 14 (1983), to appear. Zbl0511.32003MR697530
  12. [12] R.E. Edwards, Functional Analysis, Holt, Rinehart and Winston, New York, 1965. Zbl0182.16101MR221256
  13. [13] H. Federer, Geometric Measure Theory, Springer-Verlag, New York, 1969. Zbl0176.00801MR257325
  14. [14] E. Hewitt - K. STROMBERG, Real and Abstract Analysis, Springer-Verlag, New York, 1969. Zbl0225.26001MR367121
  15. [15] Y. Katznelson, An Introduction to Harmonic Analysis, John Wiley and Sons, New York, 1968. Zbl0169.17902MR248482
  16. [16] A. Korányi, A Poisson integral for homogeneous wedge domains, J. Analyse Math., 14 (1965), pp. 275-284. Zbl0138.06503MR179809
  17. [17] W.R. Madych, Distributions with strong maximal functions in LP(Rn), preprint. 
  18. [18] L. Schwartz, Théorie des Distributions, Hermann, Paris, 1966. Zbl0962.46025MR209834
  19. [19] L. Schwartz, Mathematics for the Physical Sciences, Addison-Wesley, Reading, Mass, 1966. Zbl0151.34001MR207494
  20. [20] E.M. Stein - G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, N. J., 1971. Zbl0232.42007MR304972
  21. [21] H.G. Tillmann, Darstellung der Schwartzschen Distributionen durch analytische Funktionen, Math. Z., 77 (1961), pp. 106-124. Zbl0099.09703MR139002
  22. [22] V.S. Vladimirov, Methods of the Theory of Functions of Many Complex Variables, M.I.T. Press, Cambridge, Mass., 1966. MR201669
  23. [23] V.S. Vladimirov, Generalized functions with supports bounded by the side of an acute convex cone, Siberian Math. J., 9 (1968), pp. 930-937. MR240619
  24. [24] V.S. Vladimirov, The Laplace transform of tempered distributions, Global Anal. Appl., International Sem. Course Trieste 1972, Vol. III (1974), pp. 243-270. Zbl0306.46049MR448070
  25. [25] V.S. Vladimirov, Generalized Functions in Mathematical Physics, Mir Publishers, Moscow, 1979. Zbl0515.46034MR564116

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.