The following is a fairly complete list of papers and books by Donald C Spencer. We have omitted books which he edited.
D C Spencer, On a Hardy-Littlewood problem of diophantine approximation, Proc. Cambridge Philos. Soc.35 (1939), 527-547.
D C Spencer, On finitely mean valent functions. II, Trans. Amer. Math. Soc.48 (1940), 418-435.
D C Spencer, On an inequality of Grunsky, Proc. Nat. Acad. Sci. U.S.A.26 (1940), 616-621.
D C Spencer, Note on some function-theoretic identities, J. London Math. Soc.15 (1940), 84-86.
D C Spencer, On finitely mean valent functions, Proc. London Math. Soc. (2)47 (1941), 201-211.
D C Spencer, On a theorem of Rengels, J. Math. Phys., Massachusetts Inst.. Tech.20 (1941), 118-123.
D C Spencer, On distortion in analytic transformations, J. Math. Phys., Massachusetts Inst. Tech.20 (1941), 124-126.
D C Spencer, On mean one-valent functions, Ann. of Math. (2) 42 (1941), 614-633.
D C Spencer, Distortion in Conformal Mapping (Brown University, 1941).
D C Spencer, The lattice points of tetrahedra, J. Math, Phys., Massachusetts Inst. Tech.21 (1942), 189-197.
R Salem and D C Spencer, The influence of gaps on density of integers, Duke Math. J.9 (1942), 855-872.
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.
D C Spencer, Note on mean one-valent functions, J. Math. Phys., Massachusetts Inst. Tech.21 (1942), 178-188.
D C Spencer, Some remarks concerning the coefficients of schlicht functions, J. Math. Phys., Massachusetts Inst. Tech.21 (1942), 63-68.
S Bergman and D C Spencer, On distortion in pseudo-conformal mapping, Trans. Amer. Math. Soc.51 (1942), 133-163.
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.
D C Spencer, A function-theoretic identity, Amer. J. Math.65 (1943), 147-160.
A C Schaeffer and D C Spencer, The coefficients of schlicht functions, Duke Math. J.10 (1943), 611-635.
A C Schaeffer and D C Spencer, The coefficients of schlicht functions II, Duke Math. J.12 (1945), 107-125.
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).
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).
A C Schaeffer and D C Spencer, The coefficients of schlicht functions III, Proc. Nat. Acad. Sci. U.S.A.32 (1946), 111-115.
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.
D C Spencer, Some problems in conformal mapping, Bull. Amer. Math. Soc.53 (1947), 417-439.
A C Schaeffer and D C Spencer, A variational method in conformal mapping, Duke Math. J.14 (1947), 949-966.
M Shiffman and D C Spencer, The flow of an ideal incompressible fluid about a lens, Quart. Appl. Math.5 (1947), 270-288.
A C Schaeffer and D C Spencer, The coefficients of schlicht functions IV, Proc. Nat. Acad. Sci. U.S.A.35 (1949), 143-150.
A C Schaeffer, M Schiffer and D C Spencer, The coefficient regions of schlicht functions, Duke Math. J.16 (1949), 493-527.
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.
M Schiffer and D C Spencer, The coefficient problem for multiply-connected domains, Ann. of Math.52 (1950), 362-402.
A C Schaeffer and D C Spencer, Models illustrating the third coefficient region for schlicht functions, Scripta Math.16 (1950), 67-71.
A C Schaeffer and D C Spencer, Coefficient Regions for Schlicht Functions, Amer. Math. Soc. Colloq. Publ., Vol. 35 (New York, 1950).
J A Jenkins and D C Spencer, Hyperelliptic trajectories, Ann. of Math.53 (1951), 4-35.
M Schiffer and D C Spencer, A variational calculus for Riemann surfaces, Ann. Acad. Sci. Fennicae. Ser. A I Math.-Phys. (93) (1951).
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).
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.
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.
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.
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.
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.
G F D Duff and D C Spencer, Harmonic tensors on Riemannian manifolds with boundary, Ann. of Math.56 (1952), 128-156.
P R Garabedian and D C Spencer, Complex boundary value problems, Trans. Amer. Math. Soc.73 (1952), 223-242.
D C Spencer, A generalization of a theorem of Hodge, Proc. Nat. Acad. Sci. U.S.A.38 (1952), 533-534.
D C Spencer, On Green's operators (The Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, College Park, Md., 1952).
D C Spencer, Cauchy's formula on Kähler manifolds, Proc. Nat. Acad. Sci. U.S.A.38 (1952), 76-80.
P R Garabedian and D C Spencer, Extremal methods in cavitational flow, J. Rational Mech. Anal.1 (1952), 359-409.
P R Garabedian and D C Spencer, A complex tensor calculus for Kähler manifolds, Acta Math.89 (1953), 279-331.
D C Spencer, Heat conduction on arbitrary Riemannian manifolds, Proc. Nat. Acad. Sci U.S.A.39 (1953), 327-330.
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.
D C Spencer, Cohomology and the Riemann-Roch theorem, Proc. Nat. Acad. Sci. U.S.A.39 (1953) 660-669.
K Kodaira and D C Spencer, On arithmetic genera of algebraic varieties, Proc. Nat. Acad. Sci. U.S.A.39 (1953), 641-649.
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.
K Kodaira and D C Spencer, Divisor class groups on algebraic varieties, Proc. Nat. Acad. Sci. U.S.A.39 (1953), 872-877.
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.
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.
M Schiffer and D C Spencer, Functionals of finite Riemann surfaces (Princeton University Press, 1954).
D C Spencer, Potential theory and almost-complex manifolds, Lectures on functions of a complex variable (University of Michigan Press, 1955), 15-43.
V K A M Gugenheim and D C Spencer, Chain homotopy and the de Rham theory, Proc. Amer. Math. Soc.7 (1956), 144-152.
J J Kohn and D C Spencer, Complex Neumann problems on Kähler manifolds (Princeton University, Princeton, N. J., 1956).
J J Kohn and D C Spencer, Complex Neumann problems, Ann. of Math.66 (1957), 89-140.
K Kodaira and D C Spencer, On the variation of almost-complex structure, Algebraic Geometry and Topology (Princeton University Press, 1957), 139-150.
D C Spencer, A spectral resolution of complex structure, Sympos. Internac. Topologia Algebraica (Mexico City, 1958), 68-76.
K Kodaira and D C Spencer, On deformations of complex analytic structures I, II, Ann. of Math.67 (1958), 328-466.
K Kodaira, L Nirenberg and D C Spencer, On the existence of deformations of complex analytic structures, Ann. of Math.68 (1958), 450-459.
K Kodaira and D C Spencer, A theorem of completeness for complex analytic fibre spaces, Acta Math.100 (1958), 281 -294.
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.
K Kodaira and D C Spencer, A theorem of completeness of characteristic systems of complete continuous systems, Amer. J. Math.81 (1959), 477-500.
H K Nickerson, D C Spencer, and N E Steenrod, Advanced Calculus (Van Nostrand, Princeton, New Jersey, 1959).
D C Spencer, Some remarks on perturbation of structure, Analytic Functions (Princeton University Press, 1960), 67-87.
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.
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.
K Kodaira and D C Spencer, Multifoliate structures, Ann. of Math.74 (1961), 52-100.
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.
D C Spencer, Deformation of pseudogroup structures, Proc. Nat. Acad. Sci. U.S.A.47 (1961), 1205-1208.
D C Spencer, Complex analysis, article in the 1961 printing of the Encyclopaedia Britannica (listed under Analysis, Complex).
D C Spencer, A type of formal exterior differentiation associated with pseudogroups, Scripta Math.26 (1961), 101-106.
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.
D C Spencer, Deformation of structures on manifolds defined by transitive, continuous pseudogroups II. Deformations of structure, Ann. of Math.76 (1962), 399-445.
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.
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.
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.
D C Spencer, De Rham theorems and Neumann decompositions associated with linear partial differential equations, Ann. Inst. Fourier (Grenoble)14 (1964), 1-19.
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.
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.
D C Spencer, Remark on formal exterior differentiation, J. Analyse Math.14 (1965), 433-442.
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.
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.
D C Spencer, Overdetermined systems of linear partial differential equations. Bull. Amer. Math. Soc.75 (1969), 179-239.
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.
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.
D C Spencer, Overdetermined operators: Some remarks on symbols, Proc. Internal. Congress Math. Vol. 2, (Nice, France, 1970) (Gauthier-Villars, Paris, 1971), 251-256.
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.
A Kumpera and D C Spencer, Lie Equations. Volume I: General Theory, Annals of Math. Studies, No. 73 (Princeton University Press, 1972).
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)
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.
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.
H Goldschmidt and D C Spencer, On the non-linear cohomology of Lie equations. I, Acta Math.136 (1976), 103-170.
H Goldschmidt and D C Spencer, On the non-linear cohomology of Lie equations. II, Acta Math.136 (1976) 171-239.
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.
H Goldschmidt and D C Spencer, On the non-linear cohomology of Lie equations Ill, J. Differential Geometry13 (1978) 409-453.
H Goldschmidt and D C Spencer, On the non-linear cohomology of Lie equations IV, J. Differential Geometry13 (1978), 455-526.
D C Spencer, Kunihiko Kodaira (1915-1997), Notices Amer. Math. Soc.45 (3) (1998), 388-389.
D C Spencer, Selecta Vol. 1 (World Scientific Publishing Co., Philadelphia, PA, 1985).
D C Spencer, Selecta Vol. 2 (World Scientific Publishing Co., Philadelphia, PA, 1985).
D C Spencer, Selecta Vol. 3 (World Scientific Publishing Co., Philadelphia, PA, 1985).
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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