Distributional boundary values in 𝔇 L p ' . III

Richard D. Carmichael

Rendiconti del Seminario Matematico della Università di Padova (1972)

  • Volume: 48, page 137-158
  • ISSN: 0041-8994

How to cite

top

Carmichael, Richard D.. "Distributional boundary values in $\mathfrak {D}^{\prime } _{L^p}$. III." Rendiconti del Seminario Matematico della Università di Padova 48 (1972): 137-158. <http://eudml.org/doc/107448>.

@article{Carmichael1972,
author = {Carmichael, Richard D.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {137-158},
publisher = {Seminario Matematico of the University of Padua},
title = {Distributional boundary values in $\mathfrak \{D\}^\{\prime \} _\{L^p\}$. III},
url = {http://eudml.org/doc/107448},
volume = {48},
year = {1972},
}

TY - JOUR
AU - Carmichael, Richard D.
TI - Distributional boundary values in $\mathfrak {D}^{\prime } _{L^p}$. III
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1972
PB - Seminario Matematico of the University of Padua
VL - 48
SP - 137
EP - 158
LA - eng
UR - http://eudml.org/doc/107448
ER -

References

top
  1. [1] Beltrami, E.J., and Wohlers, M.R.: Distributional Boundary Values of Functions Holomorphic in a Half Plane, J. Math. Mech.15 (1966), 137-145. Zbl0151.18301MR193246
  2. [2] Bochner, S.: Group Invarience of Cauchy's Formula in Several Variables, Annals of Math.45 (1944), 686-707. Zbl0060.24301MR11131
  3. [3] Bochner, S., and Martin, W.T.: Several Complex Variables, Princeton University Press, Princeton, N.J., 1948. Zbl0041.05205MR27863
  4. [4] Carmichael, Richard D.: Distributional Boundary Values of Functions Analytic in Tubular Radial Domains, Indiana U. Math. J. (formerly J. Math. Mech.) 20 (1971), 843-853. Zbl0207.12403MR414918
  5. [5] Carmichael, Richard D.: Distributional Boundary Values in D' Lp, Rendiconti Sem. Mat. Università di Padova43 (1970), 35-53. Zbl0235.46063MR278064
  6. [6] Carmichael, Richard D.: Distributional Boundary Values in D' Lp. II, Rendiconti Sem. Mat. Università di Padova45 (1971), 249-277. Zbl0229.46042MR301507
  7. [7] Carmichael, Richard D.: Functions Analytic in an Octant and Boundary Values of Distributions, J. Math. Analysis Appl.33 (1971), 616-626. Zbl0206.12502MR283566
  8. [8] Carmichael, Richard D.: Distributions as the Boundary Values of Analitic Functions, Proc. Japan Acad.45 (1969), 861-865. Zbl0198.46505MR262819
  9. [9] Carmichael, Richard D.: Generalized Cauchy and Poisson Integrals and Distributional Boundary Values, SIAM J. Math. Analysis (to appear). Zbl0225.46035MR350054
  10. [10] Carmichael, Richard D.: The Paley-Wiener-Schwartz Theorem for Functions Analytic in a Half Space, Ph. D. Thesis, Duke University, Durham, N.C., 1968. 
  11. [11] Hille, Einar, and Tamarkin, J.D.: On a Theorem of Paley and Wiener, Annals of Math.34 (1933), 606-614. Zbl0007.15703MR1503128JFM59.0424.01
  12. [12] Hille, Einar, and Tamarkin, J.D.: A Remark on Fourier Transforms and Functions Analytic in a Half Plane, Compositio Math.1 (1934), 98-102. Zbl0008.30602
  13. [13] Hille, Einar, and Tamarkin, J.D.: On the Absolute Integrability of Fourier Transforms, Fundamenta Math.25 (1935), 329-352. Zbl0012.25501
  14. [14] Korányi, Adam: A Poisson Integral for Homogeneous Wedge Domains, J. D'Analyse Math.14 (1965), 275-284. Zbl0138.06503MR179809
  15. [15] Schwartz, L.: Théorie Des Distributions, Hermann, Paris, 1966. Zbl0962.46025MR209834
  16. [16] Stein, E.M., Weiss, G., and Weiss, M.: Hp Classes of Holomorphic Functions in Tube Domains, Proc. Nat. Acad. Sciences U.S.A. 52 (1964), 1035-1039. Zbl0126.09405MR179386
  17. [17] Stein, E.M., and Weiss, G.: Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, N.J., 1971. Zbl0232.42007MR304972
  18. [18] Vladimirov, V.S.: Methods of the Theory of Functions of Several Complex Variables, M.I.T. Press, Cambridge, Mass., 1966. MR201669

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.