Bibliography for Morera's Theorem

unabridged

 

  1. Stability in the Cauchy and Morera Theorems for Holomorphic Functions and Their Spatial Analogs  
    Kopylov A.P.; Korobkov M.V.; Ponomarev S.P.  
    Siberian Mathematical Journal, January 2003, vol. 44, no. 1, pp. 99-108(10), Ingenta.  
  2. The boundary Morera theorem for the generalized upper half-plane. (Russian)
    Khudaui berganov, G.; Kurbanov, B. T.
    Uzbek. Mat. Zh. No. 1 (2002), 78--83, MathSciNet.  
  3. A New Morera-Type Theorem on a Unit Disk  
    Silenko V.E.  
    Ukrainian Mathematical Journal, February 2001, vol. 53, no. 2, pp. 317-322(6), Ingenta.  
  4. Morera type problems in Clifford analysis.
    Marmolejo Olea, Emilio
    Rev. Mat. Iberoamericana 17 (2001), no. 3, 559--585, MathSciNet.  
  5. On a boundary variant of the Morera theorem. (Russian)
    Myslivets, S. G.
    Sibirsk. Mat. Zh. 42 (2001), no. 5, 1136--1146, iv; translation in Siberian Math. J. 42 (2001), no. 5, 952--960, MathSciNet.  
  6. A new Morera-type theorem in the unit disk. (Russian)
    Silenko, V. E.
    Ukraïn. Mat. Zh. 53 (2001), no. 2, 278--281; translation in Ukrainian Math. J. 53 (2001), no. 2, 317--322, MathSciNet.  
  7. On a multidimensional boundary Morera theorem for the matrix ball. (Russian)
    Kosbergenov, S.
    Izv. Vyssh. Uchebn. Zaved. Mat. 2001, no. 4, 28--32; translation in Russian Math. (Iz. VUZ) 45 (2001), no. 4, 26--30, MathSciNet.  
  8. On stability in the Cauchy and Morera theorems on holomorphic functions. (Russian)
    Kopylov, A. P.
    Dokl. Akad. Nauk 378 (2001), no. 4, 447--449, MathSciNet.  
  9. Discs and the Morera property.
    Globevnik, Josip; Stout, Edgar Lee
    Pacific J. Math. 192 (2000), no. 1, 65--91, MathSciNet.  
  10. Morera Theorems for Complex Manifolds  
    Grinberg E.L.; Quinto E.T.  
    Journal of Functional Analysis, December 2000, vol. 178, no. 1, pp. 1-22(22), Ingenta.  
  11. Local boundary Morera theorems.
    Govekar-Leban, Darja
    Math. Z. 233 (2000), no. 2, 265--286, MathSciNet.   
  12. On functions with one-dimensional property of holomorphic continuation and boundary analogues of the Morera theorem.
    Kytmanov, Alexandr M.; Myslivets, Simona G.
    J. Nat. Geom. 16 (1999), no. 1-2, 29--48, MathSciNet.  
  13. Conjecture de Globevnik-Stout et théorème de Morera pur une chaîne holomorphe. (French) [Globevnik-Stout conjecture and Morera theorem for a holomorphic chain]
    Dinh, Tien-Cuong
    Ann. Fac. Sci. Toulouse Math. (6) 8 (1999), no. 2, 235--257, MathSciNet.   
  14. On a multidimensional boundary variant of the Morera theorem. (Russian)
    Myslivets, S. G.
    Izv. Vyssh. Uchebn. Zaved. Mat. 1999, no. 8, 33--36; translation in Russian Math. (Iz. VUZ) 43 (1999), no. 8, 30--33, MathSciNet.  
  15. On a boundary Morera theorem for classical domains. (Russian)
    Kosbergenov, S.; Kytmanov, A. M.; Myslivets, S. G.
    Sibirsk. Mat. Zh. 40 (1999), no. 3, 595--604, ii--iii; translation in Siberian Math. J. 40 (1999), no. 3, 506--514, MathSciNet.  
  16. On the boundary Morera theorem for classical symmetric domains.
    Kosbergenov, S.; Kytmanov, A.
    Aspects of complex analysis, differential geometry, mathematical physics and applications (St. Konstantin, 1998), 77--83, World Sci. Publishing, River Edge, NJ, 1999, MathSciNet.  
  17. A multidimensional boundary Morera theorem for the ball and the polydisk. (Russian)
    Kosbergenov, S.
    Uzbek. Mat. Zh. No. 5 (1998), 34--40 (1999), MathSciNet.   
  18. Morera theorems for spheres through a point in C^N.
    Grinberg, Eric Liviu; Quinto, Eric Todd
    Recent developments in complex analysis and computer algebra (Newark DE, 1997), 267--275, Int. Soc. Anal. Appl. Comput., 4, Kluwer Acad. Publ., Dordrecht, 1999, MathSciNet.   
  19. Thin discs and a Morera theorem for CR functions.
    Tumanov, Alexander
    Math. Z. 226 (1997), no. 2, 327--334, MathSciNet.  
  20. Analytic Functions, Ideal Fluid Flow, and Bernoulli's Equation (in Classroom Notes)  
    J. G. Simmonds  
    SIAM Review, Vol. 38, No. 4. (Dec., 1996), pp. 666-667, Jstor.   
  21. Morera theorems via microlocal analysis.
    Globevnik, Josip; Quinto, Eric Todd
    J. Geom. Anal. 6 (1996), no. 1, 19--30, MathSciNet.  
  22. On an extremal problem associated with a theorem of Morera. (Russian)
    Volchkov, V. V.
    Mat. Zametki 60 (1996), no. 6, 804--809, 958; translation in Math. Notes 60 (1996), no. 5-6, 606--610 (1997), MathSciNet.   
  23. On Morera's theorem. (Spanish)
    Berenstein, C. A.
    Volume in homage to Dr. Rodolfo A. Ricabarra (Spanish), 53--59, Vol. Homenaje, 1, Univ. Nac. del Sur, Bahía Blanca, 1995, MathSciNet.  
  24. On a boundary analogue of the Morera theorem. (Russian)
    Kytmanov, A. M.; Myslivets, S. G.
    Sibirsk. Mat. Zh. 36 (1995), no. 6, 1350--1353, ii--iii; translation in Siberian Math. J. 36 (1995), no. 6, 1171--1174, MathSciNet.  
  25. Variations on the theme of the Morera theorem and the Pompeiu problem. (Russian)
    Aui zenberg, L. A.
    Dokl. Akad. Nauk 337 (1994), no. 6, 709--712; translation in Russian Acad. Sci. Dokl. Math. 50 (1995), no. 1, 152--156, MathSciNet.  
  26. Morera and mean-value type theorems in the hyperbolic disk.
    Berenstein, Carlos; Pascuas, Daniel
    Israel J. Math. 86 (1994), no. 1-3, 61--106, MathSciNet.  
  27. Morera type theorems on the unit disc.
    Volchkov, V. V.
    Anal. Math. 20 (1994), no. 1, 49--63, MathSciNet.  
  28. Morera conditions along real planes and a characterization of CR functions on boundaries of domains in C^N.
    Govekar, Darja
    Math. Z. 216 (1994), no. 2, 195--207, MathSciNet.  
  29. Morera-type theorems in domains with the weak cone condition. (Russian)
    Volchkov, V. V.
    Izv. Vyssh. Uchebn. Zaved. Mat. 1993, no. 10, 15--20; translation in Russian Math. (Iz. VUZ) 37 (1993), no. 10, 13--18, MathSciNet.  
  30. Morera theorem for holomorphic Hp spaces in the Heisenberg group.
    Agranovsky, Mark; Berenstein, Carlos; Chang, Der-Chen
    J. Reine Angew. Math. 443 (1993), 49--89, MathSciNet.  
  31. A boundary Morera theorem.
    Globevnik, Josip
    J. Geom. Anal. 3 (1993), no. 3, 269--277, MathSciNet.  
  32. Théorèmes de Morera et Pompeiu pour le groupe de Heisenberg. (French) [Morera and Pompeiu theorems for the Heisenberg group]
    Agranovsky, Mark; Berenstein, Carlos; Chang, Der-Chen; Pascuas, Daniel  
    C. R. Acad. Sci. Paris Sér. I Math. 315 (1992), no. 6, 655--658, MathSciNet.  
  33. Variations on the theorem of Morera.
    Berenstein, Carlos; Chang, Der-Chen; Pascuas, Daniel; Zalcman, Lawrence  
    The Madison Symposium on Complex Analysis (Madison, WI, 1991), 63--78, Contemp. Math., 137, Amer. Math. Soc., Providence, RI, 1992, MathSciNet.  
  34. A Morera type theorem for L2 functions in the Heisenberg group.
    Agranovsky, Mark; Berenstein, Carlos; Chang, Der-Chen; Pascuas, Daniel
    J. Anal. Math. 57 (1991), 282--296, MathSciNet.  
  35. Boundary Morera theorems for holomorphic functions of several complex variables.
    Globevnik, Josip; Stout, Edgar Lee
    Duke Math. J. 64 (1991), no. 3, 571--615, MathSciNet.  
  36. Zero Integrals on Circles and Characterizations of Harmonic and Analytic Functions  
    Josip Globevnik  
    Transactions of the American Mathematical Society, Vol. 317, No. 1. (Jan., 1990), pp. 313-330, Jstor.   
  37. A Boundary Analogue of Morera's Theorem in the Unit Ball of C^n  
    Eric L. Grinberg  
    Proceedings of the American Mathematical Society, Vol. 102, No. 1. (Jan., 1988), pp. 114-116, Jstor.   
  38. A Test for Holomorphy in the Unit Ball of C^n  
    Carlos A. Berenstein  
    Proceedings of the American Mathematical Society, Vol. 90, No. 1. (Jan., 1984), pp. 88-90, Jstor.   
  39. The Cauchy-Morera theorem for analytic functions of several complex variables. (Italian)
    Fichera, Gaetano
    Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 74 (1983), no. 6, 336--350, MathSciNet.  
  40. Characteristic functional equation of polynomials and the Morera-Carleman theorem.
    Rubinstein, Zalman
    Aequationes Math. 23 (1981), no. 1, 108--117, MathSciNet.  
  41. Fourier transformation on SL2R and Morera-type theorems. (Russian)
    Agranovskiui, M. L.
    Dokl. Akad. Nauk SSSR 243 (1978), no. 6, 1353--1356, MathSciNet.  
  42. A generalization of the multidimensional Morera theorem. (Russian)
    Bondar, A. V.
    Ukrain. Mat. Z. 30 (1978), no. 3, 346--352, 428, MathSciNet.  
  43. Morera's theorem in multidimensional complex analysis. (Russian)
    Dautov, S. A.; Znamenskiui, S. V.
    Izv. Vys. Ucebn. Zaved. Matematika 1975 no. 5(156), 17--19, MathSciNet.  
  44. A generalization of Morera's theorem. (Russian)
    Zatulovskaja, K. D.
    Questions of mathematical physics and theory of oscillations, No. 3 (Russian), pp. 155--157, MathSciNet.  Ivanov. Ènerget. Inst., Ivanovo, 1975.
  45. The degree of generality of the dynamical analogues of Maxwell's and Morera's solutions. (Russian)
    Nemcev, E. A.
    Collection of articles dedicated to the memory of Mazit Ifatovic Al'muhamedov. Volz. Mat. Sb. No. 16 (1973), 242--247, MathSciNet.  
  46. A remark on Morera's theorem. (Russian)
    Aui zenberg, L. A.
    Holomorphic functions of several complex variables (Sem., Krasnoyarsk, 1972) (Russian), pp. 165--166, 212. Inst. Fiz. Sibirsk. Otdel. Akad. Nauk SSR, Krasnoyarsk, 1972, MathSciNet.  
  47. Equations for the determination of the Morera and Maxwell stress functions.
    Vlasov, B. F.
    Soviet Physics Dokl. 16 (1971), 252--254.; translated from Dokl. Akad. Nauk SSSR 197 (1971), 56--58(Russian), MathSciNet.  
  48. Morera's theorem for functions with values in a Clifford algebra.
    Delanghe, Richard
    Simon Stevin 43 1969/1970 129--140, MathSciNet.  
  49. A higher-dimensional analogue of Morera's theorem. (Russian)
    Pal'cev, B. V.
    Sibirsk. Mat. Z. 4 1963 1376--1388, MathSciNet.  
  50. A generalization of Morera's theorem.
    Royden, H. L.
    Ann. Polon. Math. 12 1962 199--202, MathSciNet.  
  51. On Morera's Theorem  
    George Springer  
    American Mathematical Monthly, Vol. 64, No. 5. (May, 1957), pp. 323-331, Jstor.   
  52. Le théorème de Morera pour le polynôme aréolaire d'ordre n dans l'espace a trois dimensions. (French)
    Nedelcu, Mariana
    Bull. Math. Soc. Sci. Math. Phys. R. P. Roumaine (N.S.) 1 1957 309--326, MathSciNet.  
  53. A direct proof of Morera's theorem.
    Macintyre, A. J.
    Arch. Math. 8 (1957), 374--375, MathSciNet.  
  54. Ornstein, Wilhelm
    Stress functions of Maxwell and Morera.
    Quart. Appl. Math. 12, (1954). 198--201, MathSciNet.  
  55. The theorem of Morera in several variables.
    Bochner, Salomon
    Ann. Mat. Pura Appl. (4) 34, (1953). 27--39, MathSciNet.  
  56. On Maxwell's and Morera's formulae in the theory of elasticity.
    Kuzmin, R. O.
    C. R. (Doklady) Acad. Sci. URSS (N. S.) 49, (1945). 326--328, MathSciNet.  
  57. Vector analogues of Morera's theorem.
    Beckenbach, E. F.
    Bull. Amer. Math. Soc. 48, (1942). 937--941, MathSciNet.  
  58. Generalizations to Space of the Cauchy and Morera Theorems  
    Maxwell Reade; E. F. Beckenbach  
    Transactions of the American Mathematical Society, Vol. 49, No. 3. (May, 1941), pp. 354-377, Jstor.   

 

 

 Return to the Complex Analysis Project

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003