Donald C Spencer's publications

The following is a fairly complete list of papers and books by Donald C Spencer. We have omitted books which he edited.


  1. D C Spencer, On a Hardy-Littlewood problem of diophantine approximation, Proc. Cambridge Philos. Soc. 35 (1939), 527-547.
  2. D C Spencer, On finitely mean valent functions. II, Trans. Amer. Math. Soc. 48 (1940), 418-435.
  3. D C Spencer, On an inequality of Grunsky, Proc. Nat. Acad. Sci. U.S.A. 26 (1940), 616-621.
  4. D C Spencer, Note on some function-theoretic identities, J. London Math. Soc. 15 (1940), 84-86.
  5. D C Spencer, On finitely mean valent functions, Proc. London Math. Soc. (2) 47 (1941), 201-211.
  6. D C Spencer, On a theorem of Rengels, J. Math. Phys., Massachusetts Inst.. Tech. 20 (1941), 118-123.
  7. D C Spencer, On distortion in analytic transformations, J. Math. Phys., Massachusetts Inst. Tech. 20 (1941), 124-126.
  8. D C Spencer, On mean one-valent functions, Ann. of Math. (2) 42 (1941), 614-633.
  9. D C Spencer, Distortion in Conformal Mapping (Brown University, 1941).
  10. D C Spencer, The lattice points of tetrahedra, J. Math, Phys., Massachusetts Inst. Tech. 21 (1942), 189-197.
  11. R Salem and D C Spencer, The influence of gaps on density of integers, Duke Math. J. 9 (1942), 855-872.
  12. R Salem and D C Spencer, On sets of integers which contain no three terms in arithmetical progression, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 561-563.
  13. D C Spencer, Note on mean one-valent functions, J. Math. Phys., Massachusetts Inst. Tech. 21 (1942), 178-188.
  14. D C Spencer, Some remarks concerning the coefficients of schlicht functions, J. Math. Phys., Massachusetts Inst. Tech. 21 (1942), 63-68.
  15. S Bergman and D C Spencer, On distortion in pseudo-conformal mapping, Trans. Amer. Math. Soc. 51 (1942), 133-163.
  16. S Bergman and D C Spencer, A property of pseudo-conformal transformations in the neighborhood of boundary points, Duke Math. J. 9 (1942), 757-762.
  17. D C Spencer, A function-theoretic identity, Amer. J. Math. 65 (1943), 147-160.
  18. A C Schaeffer and D C Spencer, The coefficients of schlicht functions, Duke Math. J. 10 (1943), 611-635.
  19. A C Schaeffer and D C Spencer, The coefficients of schlicht functions II, Duke Math. J. 12 (1945), 107-125.
  20. M Shiffman and D C Spencer, The Force of Impact on a Sphere Striking a Water Surface: Approximation by the Flow about a Lens, Applied Math. Panel, National Defense Research Committee, Report No. 105 (Applied Mathematics Group, New York University, 1945).
  21. M Shiffman and D C Spencer, Second Approximation, Applied Math. Panel, National Defense Research Committee, Report No. 133 (Applied Mathematics Group, New York University, 1945).
  22. A C Schaeffer and D C Spencer, The coefficients of schlicht functions III, Proc. Nat. Acad. Sci. U.S.A. 32 (1946), 111-115.
  23. A C Schaeffer and D C Spencer, A general class of problems in conformal mapping, Proc. Nat. Acad. Sci. U.S.A. 33 (1947), 185-189.
  24. D C Spencer, Some problems in conformal mapping, Bull. Amer. Math. Soc. 53 (1947), 417-439.
  25. A C Schaeffer and D C Spencer, A variational method in conformal mapping, Duke Math. J. 14 (1947), 949-966.
  26. M Shiffman and D C Spencer, The flow of an ideal incompressible fluid about a lens, Quart. Appl. Math. 5 (1947), 270-288.
  27. A C Schaeffer and D C Spencer, The coefficients of schlicht functions IV, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 143-150.
  28. A C Schaeffer, M Schiffer and D C Spencer, The coefficient regions of schlicht functions, Duke Math. J. 16 (1949), 493-527.
  29. R Salem and D C Spencer, On sets which do not contain a given number of terms in arithmetical progression, Nieuw Arch. Wiskunde (2) 13 (1950), 133-143.
  30. M Schiffer and D C Spencer, The coefficient problem for multiply-connected domains, Ann. of Math. 52 (1950), 362-402.
  31. A C Schaeffer and D C Spencer, Models illustrating the third coefficient region for schlicht functions, Scripta Math. 16 (1950), 67-71.
  32. A C Schaeffer and D C Spencer, Coefficient Regions for Schlicht Functions, Amer. Math. Soc. Colloq. Publ., Vol. 35 (New York, 1950).
  33. J A Jenkins and D C Spencer, Hyperelliptic trajectories, Ann. of Math. 53 (1951), 4-35.
  34. M Schiffer and D C Spencer, A variational calculus for Riemann surfaces, Ann. Acad. Sci. Fennicae. Ser. A I Math.-Phys. (93) (1951).
  35. M Schiffer and D C Spencer, On the conformal mapping of one Riemann surface into another, Ann. Acad. Sci. Fennicae. Ser. A I Math.-Phys. (94) (1951).
  36. G F D Duff and D C Spencer, Harmonic tensors on manifolds with boundary, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 614-619.
  37. M Shiffman and D C Spencer, The force of impact on a cone striking a water surface (vertical entry), Comm. Pure Appl. Math. 4 (1951), 379-417.
  38. A C Schaeffer and D C Spencer, Coefficient regions for schlicht functions, Proc. Internal. Congress Math. (Cambridge, Mass., U.S.A., 1950), (Amer. Math. Soc., Vol. 2, 1952), 224-232.
  39. A C Schaeffer and D C Spencer, A variational method for simply-connected domains, Construction and applications of conformal maps, Proc. Sympos., Nat. Bureau of Standards, (Applied Math. Ser. No. 18, 1952), 189-191.
  40. M Schiffer and D C Spencer, Some remarks on variational methods applicable to multiply-connected domains. Construction and applications of conformal maps, Proc. Sympos., Nat. Bureau of Standards, (Applied Math. Ser. No. 18, 1952), 193-198.
  41. G F D Duff and D C Spencer, Harmonic tensors on Riemannian manifolds with boundary, Ann. of Math. 56 (1952), 128-156.
  42. P R Garabedian and D C Spencer, Complex boundary value problems, Trans. Amer. Math. Soc. 73 (1952), 223-242.
  43. D C Spencer, A generalization of a theorem of Hodge, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 533-534.
  44. D C Spencer, On Green's operators (The Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, College Park, Md., 1952).
  45. D C Spencer, Cauchy's formula on Kähler manifolds, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 76-80.
  46. P R Garabedian and D C Spencer, Extremal methods in cavitational flow, J. Rational Mech. Anal. 1 (1952), 359-409.
  47. P R Garabedian and D C Spencer, A complex tensor calculus for Kähler manifolds, Acta Math. 89 (1953), 279-331.
  48. D C Spencer, Heat conduction on arbitrary Riemannian manifolds, Proc. Nat. Acad. Sci U.S.A. 39 (1953), 327-330.
  49. D C Spencer, Real and complex operators on manifolds, Contributions to the theory of Riemann surfaces, Annals of Math. Studies, No. 30 (Princeton University Press, 1953), 203-227.
  50. D C Spencer, Cohomology and the Riemann-Roch theorem, Proc. Nat. Acad. Sci. U.S.A. 39 (1953) 660-669.
  51. K Kodaira and D C Spencer, On arithmetic genera of algebraic varieties, Proc. Nat. Acad. Sci. U.S.A. 39 (1953), 641-649.
  52. K Kodaira and D C Spencer, Groups of complex line bundles over compact Kähler varieties, Proc. Nat. Acad. Sci. U.S.A. 39 (1953), 868-872.
  53. K Kodaira and D C Spencer, Divisor class groups on algebraic varieties, Proc. Nat. Acad. Sci. U.S.A. 39 (1953), 872-877.
  54. K Kodaira and D C Spencer, On a theorem of Lefschetz and the lemma of Enriques-Severi-Zariski, Proc. Nat. Acad. Sci. U.S.A. 39 (1953), 1273-1278.
  55. D C Spencer, Dirichlet's principle on manifolds, Studies in Math. and Mech. presented to Richard von Mises (Academic Press, New York, 1954), 127-134.
  56. M Schiffer and D C Spencer, Functionals of finite Riemann surfaces (Princeton University Press, 1954).
  57. D C Spencer, Potential theory and almost-complex manifolds, Lectures on functions of a complex variable (University of Michigan Press, 1955), 15-43.
  58. V K A M Gugenheim and D C Spencer, Chain homotopy and the de Rham theory, Proc. Amer. Math. Soc. 7 (1956), 144-152.
  59. J J Kohn and D C Spencer, Complex Neumann problems on Kähler manifolds (Princeton University, Princeton, N. J., 1956).
  60. J J Kohn and D C Spencer, Complex Neumann problems, Ann. of Math. 66 (1957), 89-140.
  61. K Kodaira and D C Spencer, On the variation of almost-complex structure, Algebraic Geometry and Topology (Princeton University Press, 1957), 139-150.
  62. D C Spencer, A spectral resolution of complex structure, Sympos. Internac. Topologia Algebraica (Mexico City, 1958), 68-76.
  63. K Kodaira and D C Spencer, On deformations of complex analytic structures I, II, Ann. of Math. 67 (1958), 328-466.
  64. K Kodaira, L Nirenberg and D C Spencer, On the existence of deformations of complex analytic structures, Ann. of Math. 68 (1958), 450-459.
  65. K Kodaira and D C Spencer, A theorem of completeness for complex analytic fibre spaces, Acta Math. 100 (1958), 281 -294.
  66. K Kodaira and D C Spencer, Existence of complex structure on a differentiable family of deformations of compact complex manifolds, Ann. of Math. 70 (1959), 145-166.
  67. K Kodaira and D C Spencer, A theorem of completeness of characteristic systems of complete continuous systems, Amer. J. Math. 81 (1959), 477-500.
  68. H K Nickerson, D C Spencer, and N E Steenrod, Advanced Calculus (Van Nostrand, Princeton, New Jersey, 1959).
  69. D C Spencer, Some remarks on perturbation of structure, Analytic Functions (Princeton University Press, 1960), 67-87.
  70. K Kodaira and D C Spencer, On deformations of complex analytic structures. III. Stability theorems for complex structures, Ann. of Math. 71 (1960), 43-76.
  71. L Nirenberg and D C Spencer, On rigidity of holomorphic imbeddings, Contributions to function theory (Internal. Colloq. Function Theory) (Tata Institute, Bombay, 1960), 133-137.
  72. K Kodaira and D C Spencer, Multifoliate structures, Ann. of Math. 74 (1961), 52-100.
  73. D C Spencer, Some remarks on homological analysis and structures, Differential Geometry, (Proc. Sympos. Pure Math. Vol. 3, Tucson, Arizona, 1960) (Amer. Math. Soc., 1961), 56-86.
  74. D C Spencer, Deformation of pseudogroup structures, Proc. Nat. Acad. Sci. U.S.A. 47 (1961), 1205-1208.
  75. D C Spencer, Complex analysis, article in the 1961 printing of the Encyclopaedia Britannica (listed under Analysis, Complex).
  76. D C Spencer, A type of formal exterior differentiation associated with pseudogroups, Scripta Math. 26 (1961), 101-106.
  77. D C Spencer, Deformation of structures on manifolds defined by transitive, continuous pseudogroups I. Infinitesimal deformations of structure, Ann. of Math. 76 (1962), 306-398.
  78. D C Spencer, Deformation of structures on manifolds defined by transitive, continuous pseudogroups II. Deformations of structure, Ann. of Math. 76 (1962), 399-445.
  79. D C Spencer, Intrinsic formulation of the equation of structure of a transitive continuous pseudogroup, Studies in Math. Anal. and Related Topics (Stanford University Press, Stanford Calif., 1962), 373-376.
  80. D C Spencer, Harmonic integrals and Neumann problems associated with linear partial differential equations. Outlines of the joint Soviet-American Sympos. on Partial Differential Equations, August, 1963, Novosibirsk (Moscow, 1963), 253-260.
  81. D C Spencer, Correction to "Deformation of structures on manifolds defined by transitive, continuous pseudogroups. I. Infinitesimal deformations of structure". Ann. of Math. (2) 78 (1963), 204.
  82. D C Spencer, De Rham theorems and Neumann decompositions associated with linear partial differential equations, Ann. Inst. Fourier (Grenoble) 14 (1964), 1-19.
  83. D C Spencer, Existence of local coordinates for structures defined by elliptic pseudo-groups, Differential Analysis (Bombay Colloq. 1964), (Oxford University Press, 1964), 135-162.
  84. D C Spencer, Deformation of structures on manifolds defined by transitive, continuous pseudogroups, Part III: Structures defined by elliptic pseudogroups, Ann. of Math. 81 (1965), 389-450.
  85. D C Spencer, Remark on formal exterior differentiation, J. Analyse Math. 14 (1965), 433-442.
  86. D C Spencer, The theory of harmonic integrals, Some Recent Advances in the Basic Sciences, Vol. 1, Annual Sci. Conf. Proc. Belfer Graduate School of Sci., (Yeshiva University, New York, 1966), 137-155.
  87. D C Spencer, Some remarks on overdetermined systems of linear partial differential equations, Proc. Katata Conf. on the theory of partial differential equations and on the theory of complex manifolds, (Kyoto, 1966), 52-82.
  88. D C Spencer, Overdetermined systems of linear partial differential equations. Bull. Amer. Math. Soc. 75 (1969), 179-239.
  89. D C Spencer, On deformation of pseudogroup structures. Global Analysis (Papers in honour of K Kodaira), (Princeton University Press, Princeton, N.J., 1969), 367-395.
  90. D C Spencer, Uncoupled overdetermined systems, Global Analysis, Proc. Sympos. Pure Math. Vol. 16, Berkeley, California, 1968) (Amer. Math. Soc., Providence, R.I., 1970), 211-220.
  91. D C Spencer, Overdetermined operators: Some remarks on symbols, Proc. Internal. Congress Math. Vol. 2, (Nice, France, 1970) (Gauthier-Villars, Paris, 1971), 251-256.
  92. D C Spencer, Flat differential operators, (Symposium on Several Complex Variables, Park City, Utah, 1970), Lecture Notes in Math., Vol. 184 (Springer Verlag, Berlin, 1971), 85-108.
  93. A Kumpera and D C Spencer, Lie Equations. Volume I: General Theory, Annals of Math. Studies, No. 73 (Princeton University Press, 1972).
  94. A Kumpera and D C Spencer, Systems of Linear Partial Differential Equations and Deformation of Pseudogroup Structures, Séminaire de Mathématiques Supérieure, 1969 (Presses de l'Université de Montréal, 1974)
  95. D C Spencer, Curvatures associated with differential operators, (Géométrie Différentielle, Colloq. Santiago de Compostella, Espagne, 1972), Lecture Notes in Math. Vol. 392, (Springer Verlag, Berlin, 1974), 64-75.
  96. D C Spencer, Construction of complexes for Lie equations, Manifolds-Tokyo 1973, Proc. Internat. Conf. on Manifolds and Related Topics in Topology (University of Tokyo Press, 1975), 303-311.
  97. H Goldschmidt and D C Spencer, On the non-linear cohomology of Lie equations. I, Acta Math. 136 (1976), 103-170.
  98. H Goldschmidt and D C Spencer, On the non-linear cohomology of Lie equations. II, Acta Math. 136 (1976) 171-239.
  99. H Goldschmidt and D C Spencer, Submanifolds and over-determined differential operators. Complex Analysis and Algebraic Geometry (A collection of papers dedicated to K. Kodaira), (Iwanami Shoten Publishers and Cambridge University Press, 1977), 319-356.
  100. H Goldschmidt and D C Spencer, On the non-linear cohomology of Lie equations Ill, J. Differential Geometry 13 (1978) 409-453.
  101. H Goldschmidt and D C Spencer, On the non-linear cohomology of Lie equations IV, J. Differential Geometry 13 (1978), 455-526.
  102. D C Spencer, Kunihiko Kodaira (1915-1997), Notices Amer. Math. Soc. 45 (3) (1998), 388-389.
  103. D C Spencer, Selecta Vol. 1 (World Scientific Publishing Co., Philadelphia, PA, 1985).
  104. D C Spencer, Selecta Vol. 2 (World Scientific Publishing Co., Philadelphia, PA, 1985).
  105. D C Spencer, Selecta Vol. 3 (World Scientific Publishing Co., Philadelphia, PA, 1985).
  106. D C Spencer, Old memories and an old problem, Prospects in mathematics (Princeton, NJ, 1996) (Amer. Math. Soc., Providence, RI, 1999), 13-16.


JOC/EFR November 2006

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