Bibliography for the Poisson Integral

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  1. Solutions of fractional multi-order integral and differential equations using a Poisson-type transform
    Ali I.; Kiryakova V.; Kalla S.L.
    Journal of Mathematical Analysis and Applications, May 2002, vol. 269, no. 1, pp.172-199(28), Ingenta.  
  2. Vector Bundle-Valued Poisson and Cauchy Kernel Functions on Classical Domains
    Okamoto K.; Tsukamoto M.; Yokota K.
    Acta Applicandae Mathematicae, September 2000, vol. 63, no. 1/3, pp. 323-332(10), Ingenta.  
  3. The Poisson integral for a disk in the hyperbolic plane.
    Symeonidis, Eleutherius
    Exposition. Math. 17 (1999), no. 3, 239--243, MathSciNet.  
  4. Fast wavelet algorithm of the Poisson integral
    Tonglin Z.; Wei L.
    Applied Mathematics and Computation, November 1998, vol. 96, no. 2, pp. 127-144(18), Ingenta.  
  5. Boundary Properties of First-Order Partial Derivatives of the Poisson Integral for the Half-Space
    Topuria S.
    Georgian Mathematical Journal, November 1997, vol. 04, no. 6, pp. 585-600(16), Ingenta.  
  6. Convergence results for the square root of the Poisson kernel.
    Rönning, Jan-Olav
    Math. Scand. 81 (1997), no. 2, 219--235, MathSciNet.  
  7. Generalized derivatives and boundary properties of differentiated Poisson integrals for a disk and a half-plane.
    Topuria, S.
    Bull. Georgian Acad. Sci. 153 (1996), no. 3, 329--332, MathSciNet.  
  8. The density theorem and the Poisson integral.
    Marafino, John
    Complex analysis and its applications (Hong Kong, 1993), 232--245, Pitman Res. Notes Math. Ser., 305, Longman Sci. Tech., Harlow, 1994, MathSciNet.  
  9. Boundary Behavior of Generalized Poisson Integrals for the Half-Space and the Dirichlet Problem for the Schrodinger Operator  
    Alexander I. Kheifits  
    Proceedings of the American Mathematical Society, Vol. 118, No. 4. (Aug., 1993), pp. 1199-1204, Jstor.  
  10. A conjugate Poisson kernel in Euclidean space.
    Brackx, F.; Van Acker, N.
    Simon Stevin 67 (1993), no. 1-2, 3--14, MathSciNet.  
  11. Poisson Integrals of Riemann Integrable Functions (in Notes)  
    J. Kral; W. F. Pfeffer  
    The American Mathematical Monthly, Vol. 98, No. 10. (Dec., 1991), pp. 929-931, Jstor.  
  12. Values of p-adic L-functions and a p-adic Poisson kernel.
    Teitelbaum, Jeremy T.
    Invent. Math. 101 (1990), no. 2, 395--410, MathSciNet.  
  13. A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals  
    Eric T. Sawyer  
    Transactions of the American Mathematical Society, Vol. 308, No. 2. (Aug., 1988), pp. 533-545, Jstor.  
  14. Régularité relative au noyau de Poisson. (French) [Regularity with respect to a Poisson kernel]
    Hmissi, Mohamed
    Séminaire de Théorie du Potentiel, Paris, No. 8, 88--104, Lecture Notes in Math., 1235, Springer, Berlin, 1987, MathSciNet.  
  15. On Maximal Functions and Poisson-Szego Integrals  
    Juan Sueiro  
    Transactions of the American Mathematical Society, Vol. 298, No. 2. (Dec., 1986), pp. 653-669, Jstor.  
  16. Poisson Integrals of Regular Functions  
    Jose R. Dorronsoro  
    Transactions of the American Mathematical Society, Vol. 297, No. 2. (Oct., 1986), pp. 669-685, Jstor.  
  17. Logarithmic Convexity for Discrete Harmonic Functions and the Approximation of the Cauchy Problem for Poisson's Equation  
    R. S. Falk; P. B. Monk  
    Mathematics of Computation, Vol. 47, No. 175. (Jul., 1986), pp. 135-149, Jstor.  
  18. Admissible Convergence of Poisson Integrals in Symmetric Spaces  
    Peter Sjogren  
    The Annals of Mathematics, 2nd Ser., Vol. 124, No. 2. (Sep., 1986), pp. 313-335, Jstor.  
  19. A Heuristic for the Poisson Integral for the Half Plane and some Caveats (in The Teaching of Mathematics)  
    Ridgley Lange; Robert A. Walsh  
    The American Mathematical Monthly, Vol. 92, No. 5. (May, 1985), pp. 356-358, Jstor.  
  20. On the Boundary Behaviour of Generalized Poisson Integrals on Symmetric Spaces  
    Henrik Schlichtkrull  
    Transactions of the American Mathematical Society, Vol. 290, No. 1. (Jul., 1985), pp. 273-280, Jstor.  
  21. On level sets of Poisson integrals in disks and sectors.
    Maderna, Carla
    Boll. Un. Mat. Ital. C (6) 2 (1983), no. 1, 77--86, MathSciNet.  
  22. On generalised Poisson's integral and Dirichlet problem.
    Sen, S.
    Math. Ed. (Siwan) 12 (1978), no. 2, A41--A46, MathSciNet.  
  23. Weak L1 Characterizations of Poisson Integrals, Green Potentials, and H^p Spaces  
    Peter Sjogren  
    Transactions of the American Mathematical Society, Vol. 233. (Oct., 1977), pp. 179-196, Jstor.  
  24. Limit Properties of Poisson Kernels of Siegel Domains of Type II  
    Lawrence J. Dickson  
    Transactions of the American Mathematical Society, Vol. 219. (May, 1976), pp. 113-131, Jstor.  
  25. Two Weight Function Norm Inequalities for the Poisson Integral  
    Benjamin Muckenhoupt  
    Transactions of the American Mathematical Society, Vol. 210. (Sep., 1975), pp. 225-231, Jstor.  
  26. Spherical Harmonic Expansion of the Poisson-Szego Kernel for the Ball  
    G. B. Folland  
    Proceedings of the American Mathematical Society, Vol. 47, No. 2. (Feb., 1975), pp. 401-408, Jstor.  
  27. Inequalities for Poisson Kernels on Symmetric Spaces  
    Adam Koranyi  
    Proceedings of the American Mathematical Society, Vol. 43, No. 2. (Apr., 1974), pp. 465-469, Jstor.  
  28. Limit Properties of Poisson Kernels of Tube Domains  
    Lawrence J. Dickson  
    Transactions of the American Mathematical Society, Vol. 182. (Aug., 1973), pp. 383-401, Jstor.  
  29. Boundary Behavior of Poisson Integrals on Symmetric Spaces  
    Adam Koranyi  
    Transactions of the American Mathematical Society, Vol. 140. (Jun., 1969), pp. 393-409, Jstor.  
  30. On the Convergence of Poisson Integrals  
    E. M. Stein; N. J. Weiss  
    Transactions of the American Mathematical Society, Vol. 140. (Jun., 1969), pp. 35-54, Jstor.  
  31. Poisson Integrals for Hermite and Laguerre Expansions  
    Benjamin Muckenhoupt  
    Transactions of the American Mathematical Society, Vol. 139. (May, 1969), pp. 231-242, Jstor.  
  32. Convergence of Poisson Integrals on Generalized Upper Half-Planes  
    Norman J. Weiss  
    Transactions of the American Mathematical Society, Vol. 136. (Feb., 1969), pp. 109-123, Jstor.  
  33. The Poisson Kernels and the Cauchy Problem for Elliptic Equations with Analytic Coefficients  
    Yoshio Kato  
    Transactions of the American Mathematical Society, Vol. 144. (Oct., 1969), pp. 321-331, Jstor.  
  34. Almost Everywhere Convergence of Poisson Integrals on Tube Domains over Cones  
    Norman J. Weiss  
    Transactions of the American Mathematical Society, Vol. 129, No. 2. (Nov., 1967), pp. 283-307, Jstor.  
  35. The Poisson Integral for Generalized Half-Planes and Bounded Symmetric Domains  
    Adam Koranyi  
    The Annals of Mathematics, 2nd Ser., Vol. 82, No. 2. (Sep., 1965), pp. 332-350, Jstor.  
  36. Fourier Transforms of Two Poisson Kernels (in Mathematical Notes)  
    D. A. Sprecher  
    The American Mathematical Monthly, Vol. 72, No. 8. (Oct., 1965), pp. 864-868, Jstor.  
  37. A Poisson Integral Formula for the Ellipse and Some Applications  
    W. C. Royster  
    Proceedings of the American Mathematical Society, Vol. 15, No. 4. (Aug., 1964), pp. 661-670, Jstor.  
  38. On a Generalization of the Poisson Formula for the Solution of the Heat Flow Equation  
    Arnold J. Tingley  
    Proceedings of the American Mathematical Society, Vol. 7, No. 5. (Oct., 1956), pp. 846-851, Jstor.  
  39. The Generalized Heat Flow Equation and a Corresponding Poisson Formula  
    R. H. Cameron  
    The Annals of Mathematics, 2nd Ser., Vol. 59, No. 3. (May, 1954), pp. 434-462, Jstor.  
  40. A Note on the Poisson Kernel (in Mathematical Notes)
    A. E. Taylor
    The American Mathematical Monthly, Vol. 57, No. 7. (Aug. - Sep., 1950), pp. 478-479, Jstor.  
  41. The Poisson integral representation of functions which are positive and harmonic in a half-plane.
    Loomis, L. H.; Widder, D. V.
    Duke Math. J. 9, (1942). 643--645, MathSciNet.  
  42. Poisson's Integral and Plurisegments on the Hypersphere
    Nat Edmonson
    The Annals of Mathematics, 2nd Ser., Vol. 31, No. 1. (Jan., 1930), pp. 13-31, Jstor.  
  43. An Intrinsic Treatment of Poisson's Integral  
    Fred W. Perkins  
    American Journal of Mathematics, Vol. 50, No. 3. (Jul., 1928), pp. 389-414, Jstor.  
  44. The Poisson Integral and an Analytic Function on Its Circle of Convergence  
    A. Arwin  
    The Annals of Mathematics, 2nd Ser., Vol. 23, No. 2. (Dec., 1921), pp. 141-143, Jstor.  

 

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