Distributional boundary values in 𝔇 L p ' . III
Carmichael, Richard D.
Rendiconti del Seminario Matematico della Università di Padova, Tome 48 (1972), p. 137-158 / Harvested from Numdam
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@article{RSMUP_1972__48__137_0,
     author = {Carmichael, Richard D.},
     title = {Distributional boundary values in $\mathfrak {D}^{\prime } \_{L^p}$. III},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {48},
     year = {1972},
     pages = {137-158},
     mrnumber = {440060},
     zbl = {0276.46018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1972__48__137_0}
}

Carmichael, Richard D. Distributional boundary values in $\mathfrak {D}^{\prime } _{L^p}$. III. Rendiconti del Seminario Matematico della Università di Padova, Tome 48 (1972) pp. 137-158. http://gdmltest.u-ga.fr/item/RSMUP_1972__48__137_0/

[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. | MR 193246 | Zbl 0151.18301

[2] Bochner, S.: Group Invarience of Cauchy's Formula in Several Variables, Annals of Math. 45 (1944), 686-707. | MR 11131 | Zbl 0060.24301

[3] Bochner, S., and Martin, W.T.: Several Complex Variables, Princeton University Press, Princeton, N.J., 1948. | MR 27863 | Zbl 0041.05205

[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. | MR 414918 | Zbl 0207.12403

[5] Carmichael, Richard D.: Distributional Boundary Values in D' Lp, Rendiconti Sem. Mat. Università di Padova 43 (1970), 35-53. | Numdam | MR 278064 | Zbl 0235.46063

[6] Carmichael, Richard D.: Distributional Boundary Values in D' Lp. II, Rendiconti Sem. Mat. Università di Padova 45 (1971), 249-277. | Numdam | MR 301507 | Zbl 0229.46042

[7] Carmichael, Richard D.: Functions Analytic in an Octant and Boundary Values of Distributions, J. Math. Analysis Appl. 33 (1971), 616-626. | MR 283566 | Zbl 0206.12502

[8] Carmichael, Richard D.: Distributions as the Boundary Values of Analitic Functions, Proc. Japan Acad. 45 (1969), 861-865. | MR 262819 | Zbl 0198.46505

[9] Carmichael, Richard D.: Generalized Cauchy and Poisson Integrals and Distributional Boundary Values, SIAM J. Math. Analysis (to appear). | MR 350054 | Zbl 0225.46035

[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] Hille, Einar, and Tamarkin, J.D.: On a Theorem of Paley and Wiener, Annals of Math. 34 (1933), 606-614. | JFM 59.0424.01 | MR 1503128

[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. | Numdam | Zbl 0008.30602

[13] Hille, Einar, and Tamarkin, J.D.: On the Absolute Integrability of Fourier Transforms, Fundamenta Math. 25 (1935), 329-352. | Zbl 0012.25501

[14] Korányi, Adam: A Poisson Integral for Homogeneous Wedge Domains, J. D'Analyse Math. 14 (1965), 275-284. | MR 179809 | Zbl 0138.06503

[15] Schwartz, L.: Théorie Des Distributions, Hermann, Paris, 1966. | MR 209834 | Zbl 0962.46025

[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. | MR 179386 | Zbl 0126.09405

[17] Stein, E.M., and Weiss, G.: Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, N.J., 1971. | MR 304972 | Zbl 0232.42007

[18] Vladimirov, V.S.: Methods of the Theory of Functions of Several Complex Variables, M.I.T. Press, Cambridge, Mass., 1966. | MR 201669