@article{RSMUP_1983__70__55_0, author = {Carmichael, Richard D. and Richters, Stephen P.}, title = {Distributional boundary values in $\mathfrak {D}^{\prime } _{L^p}$. {V}}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {55--76}, publisher = {Seminario Matematico of the University of Padua}, volume = {70}, year = {1983}, mrnumber = {742110}, zbl = {0536.46029}, language = {en}, url = {http://www.numdam.org/item/RSMUP_1983__70__55_0/} }
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 SP - 55 EP - 76 VL - 70 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1983__70__55_0/ LA - en ID - RSMUP_1983__70__55_0 ER -
%0 Journal Article %A Carmichael, Richard D. %A Richters, Stephen P. %T Distributional boundary values in $\mathfrak {D}^{\prime } _{L^p}$. V %J Rendiconti del Seminario Matematico della Università di Padova %D 1983 %P 55-76 %V 70 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_1983__70__55_0/ %G en %F RSMUP_1983__70__55_0
Carmichael, Richard D.; Richters, Stephen P. Distributional boundary values in $\mathfrak {D}^{\prime } _{L^p}$. V. Rendiconti del Seminario Matematico della Università di Padova, Tome 70 (1983), pp. 55-76. http://www.numdam.org/item/RSMUP_1983__70__55_0/
[1] Group invariance of Cauchy's formula in several variables, Ann. of Math., 45 (1944), pp. 686-707. | MR | Zbl
,[2] Fourier Transforms, Princeton University Press, Princeton, N. J., 1949. | MR | Zbl
- ,[3] Distributional boundary values in D'Lp, Rend. Sem. Mat. Univ. Padova, 43 (1970), pp. 35-53. | Numdam | MR | Zbl
,[4] Distributional boundary values in DLp - II, Rend. Sem. Mat. Univ. Padova, 45 (1971), pp. 249-277. | Numdam | MR | Zbl
,[5] Distributional boundary values in DLp - III, Rend. Sem. Mat. Univ. Padova, 48 (1973), pp. 137-158. | Numdam | MR | Zbl
,[6] Distributional boundary values in DL'p IV, Rend. Sem. Mat. Univ. Padova, 63 (1980), pp. 203-214. | Numdam | MR | Zbl
,[7] Functions analytic in an octant and boundary values of distributions, J. Math. Anal. Appl., 33 (1971), pp. 616-626. | MR | Zbl
,[8] Generalized Cauchy and Poisson integrals and distributional boundary values, SIAM J. Math. Anal., 4 (1973), pp. 198-219. | MR | Zbl
,[9] Analytic functions in tubes which are representable by Fourier-Laplace integrals, Pacific J. Math., 90 (1980), pp. 51-61. | MR | Zbl
- ,[10] Growth of Hp functions in tubes, Internat. J. Math. Math. Sci., 4 (1981), pp. 435-443. | MR | Zbl
- ,[11] Holomorphic functions in tubes which have distributional boundary values and which are HP functions, SIAM J. Math. Anal., 14 (1983), to appear. | MR | Zbl
- ,[12] Functional Analysis, Holt, Rinehart and Winston, New York, 1965. | MR | Zbl
,[13] Geometric Measure Theory, Springer-Verlag, New York, 1969. | MR | Zbl
,[14] K. STROMBERG, Real and Abstract Analysis, Springer-Verlag, New York, 1969. | MR | Zbl
-[15] An Introduction to Harmonic Analysis, John Wiley and Sons, New York, 1968. | MR | Zbl
,[16] A Poisson integral for homogeneous wedge domains, J. Analyse Math., 14 (1965), pp. 275-284. | MR | Zbl
,[17] Distributions with strong maximal functions in LP(Rn), preprint.
,[18] Théorie des Distributions, Hermann, Paris, 1966. | MR | Zbl
,[19] Mathematics for the Physical Sciences, Addison-Wesley, Reading, Mass, 1966. | MR | Zbl
,[20] Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, N. J., 1971. | MR | Zbl
- ,[21] Darstellung der Schwartzschen Distributionen durch analytische Funktionen, Math. Z., 77 (1961), pp. 106-124. | MR | Zbl
,[22] Methods of the Theory of Functions of Many Complex Variables, M.I.T. Press, Cambridge, Mass., 1966. | MR
,[23] Generalized functions with supports bounded by the side of an acute convex cone, Siberian Math. J., 9 (1968), pp. 930-937. | MR
,[24] The Laplace transform of tempered distributions, Global Anal. Appl., International Sem. Course Trieste 1972, Vol. III (1974), pp. 243-270. | MR | Zbl
,[25] Generalized Functions in Mathematical Physics, Mir Publishers, Moscow, 1979. | MR | Zbl
,