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DOCTORATES CONFERRED IN 1957
The following are among those who received doctorates in the mathematical sciences and related subjects from universities in the United States and Canada during 1957. In each case, the university, the month in which the degree was conferred, minor subjects (other than mathematics), and title of the dissertation are given. Note that there is included at the end of these Notes a list of doc- torates conferred in 1956 but not included last year. A. H. Aaboe, Brown University, June, On Babylonian planetary theories. W. R. Abel, University of Missouri, June, Metric properties of metric arcs. I. J. Abrams, University of California, Berkeley, Contributions to the stochastic theory of inventory. S. P. Agarwal, University of California, Berkeley, January, On the asymptotic equivalence of two classes of tests of a multiparameter hy- pothesis. J. H. Alexander, The University of Tennessee, June, Approximately finite geometries and their coordinate rings. R. L. Alonso, Harvard University, June, A special purpose digital calculator for the numerical solution of ordinary differential equations. R. C. Alverson, Brown University, June, Elastic-plastic beam dy- namics by the method of characteristics. J. J. Andrews, University of Georgia, June, Generalized winding numbers and light open maps. P. M. Anselone, Oregon State College, June, minor in French; Convergency of the Wick-Chandrasekhar approximation technique in radiative transfer. D. N. Arden, Purdue University, June, minor in physics, Curva- tures of Riemannian manifolds. W. O. Ash, Virginia Polytechnic Institute, Randomized estimates in power spectral analysis. Silvio Aurora, Columbia University, May, Multiplicative norms of metric rings. Joseph Auslander, University of Pennsylvania, June, Mean-L- stable systems. G. E. Bartsch, Harvard, Confidence intervals f or the means of non- normal populations. H. S. Bear, Jr., University of California, Berkeley, June, Complex function algebras. 125
126 DOCTORATES CONFERRED IN 1957^ [May
D. A. Beckwith, Brown University, June, An approximation meth-
od for plane gas flows.
W. C. Bennewitz, University of Illinois, June, minor in Philosophy,
On Minkowski area.
W. S. Bicknell, University of Michigan, June, Premiums and re-
serves in multiple decrement theory.
C. M. Braden, University of Minnesota, December, minor in
physics, Harmonic, biharmonic and related partial difference equations.
J. C. Bradford, The University of Oklahoma, August, Topological
vector lattices.
Louis deBranges, III, Cornell University, June, Local operators on
Fourier transforms.
D. W. Bressler, University of California, Berkeley, June, Abso-
lutely measurable sets.
B. D. Bûcher, Princeton University, April, The recovery of inter-
variety information in incomplete block designs.
R. C. Bzoch, Illinois Institute of Technology, June, On the existence
and properties of the Lane integral.
Robert Canavan, New York University, June, Necessary conditions
for continuation and reflection principles for solutions of homogeneous
linear partial differential equations with constant coefficients.
R. L. Carter, The University of North Carolina, August, New
designs for the exploration of response surfaces.
E. W. Cheney, Jr., The University of Kansas, June, On Gauge
functions.
Y. T. Chou, Carnegie Institute of Technology, September, The
effect of turbulence on slider-bearing lubrication.
D. L. Clark, Oregon State College, June, minor in physics, The
distribution of linear functionals of stochastic processes.
Leonard Cohen, Columbia University, July, On mixed single sam-
ple experiments.
H. H. Corson, III, Duke University, June, minor in physics, Sys-
tems of equations in a finite field.
P. R. Culwell, The University of Texas, June, Iterated Holmgren-
Riesz transforms in two dimensions.
R. T. Dames, University of Michigan, June, Stability and conver-
gence for a numerical solution of the Goursat problem.
R. L. Davis, University of Michigan, June, Lie and Engle modules
and their relation to Burnside's problem.
D. F. Dawson, The University of Texas, August, Continued frac-
tions with absolutely convergent even or odd parts.
M. R. Demers, Brown University, June, On Lebesgue area.
128 DOCTORATES CONFERRED IN 1957 [May
D. S. Greenstein, University of Pennsylvania, June, Derivative manifolds and Taylor series in the mean. Geoffrey Gregory, Stanford University, An economic approach to the choice of continuous sampling plans. R. R. Haering, McGill University, May, The electric and magnetic properties of graphite. Susan Hahn, New York University, June, Stability criteria for difference schemes. A. B. Hajian, Yale University, June, Measurable transformations and invariant measures. D. W. Hall, Princeton University, January, Vacuum expectation values. A. E. Hallerberg, University of Michigan, June, The development of the geometry of the fixed-compass with especial attention to the contribu- tion of Georg Mohr. Oma Hamara, Massachusetts Institute of Technology, June, minor in physics, Quadratic forms on infinite dimensional vector spaces. Mary I. Hanania, University of California, Berkeley, June, Some statistical tests of hypotheses in learning theory. D. K. Harrison, Princeton University, January, On torsion free Abelian groups. H. A. Heckart, Iowa State College, June, Bursting speed of rotating discs. R. L. Helmbold, Carnegie Institute of Technology, June, Semi- discrete potential theory. L. H. Herbach, Columbia University, June, Optimum properties of analysis of variance tests based on Model II and some generalizations of Model II. N. J. Hicks, Massachusetts Institute of Technology, February, minor in humanities, On the curvature and torsion of affine connexions. C. J. Himmelberg, I I I , University of Notre Dame, June, A new approach to absolute retracts and absolute neighborhood retracts. S. P. Hoffman, Jr., Yale University, June, Second-order linear differential operators defined by irregular boundary conditions. A. L. Hopkins, Jr., Harvard University, June, An investigation of non-ohmic resistive switching networks. W. B. Houston, Jr., Massachusetts Institute of Technology, Sep- tember, minor in physics, Curvature and torsion of fiber bundles. H. V. Huneke, The University of Oklahoma, June, minor in physics, Some properties of the Nörlund methods as an ordered set. L. C. Hunter, University of Oregon, June, On induced topologies in quasi-reflexive Banach spaces.
1958] DOCTORATES CONFERRED IN 1957 129
Mohammad Iqbal, The University of North Carolina, June, On the classification statistic of Wald. R. B. Jackson, Jr., Duke University, June, minor in education, Dependent solutions. W. D. James, University of Illinois, June, minor in physics, Some potential representations in the plane. J. G. Jewell, University of Pittsburgh, February, Essentially- convergent sequences and series. E. S. Johnson, The Catholic University of America, June, minors in physics and education, Properties of solutions of nonlinear differential equations. J. R. Johnson, Jr., Duke University, June, Minor in economics, Congruence properties of certain difference equations. M. W. Johnson, Massachusetts Institute of Technology, Septem- ber, minor in mechanical engineering, On the theory of thin elastic shells. P. G. Johnson, University of Minnesota, Shares of f unctions with values in a Banach algebra. G. H. Josie, Johns Hopkins University, Sampling variations as a factor in morbidity survey design. R. P. Kanwal, Indiana University, June, minor in physics, Shock and wave surfaces for three-dimensional rotational gas flows. M. L. Keedy, University of Nebraska, June, minors in physics and philosophy, Some properties of basic order relations in arithmetic of rela- tion algebras. R. P. Kelisky, The University of Texas, Interrelations between the numbers of Bell, Bernoulli, Euler, Fibonacci and Lucas. May E. R. Kinsolving, Syracuse University, June, On spaces suitable for Finsler geometries in the large. T. C. Kipps, University of California, Berkeley, June, The para- metric problems for double integrals in the calculus of variations. J. E. Kist, Purdue University, June, Topological ordered linear spaces. J. K. Knowles, Massachusetts Institute of Technology, June, minor in physics, Thin elastic helicoidal shells. C. W. Kohls, Purdue University, June, Ideals in rings of continuous functions. Walter Koppelman, New York University, June, The Riemann- Hilbert theorem f or finite Riemann surfaces. C. Y. Kramer, Virginia Polytechnic Institute, June, Factorial treat- ments in incomplete block designs.
1958] DOCTORATES CONFERRED IN 1957^ 131
J. J. Macdonnell, The Catholic University of America, June,
minors physics and philosophy, Some convergence theorems for Di-
richlet-type series whose coefficients are entire functions of bounded index.
W. S. Mahavier, The University of Texas, January, minor in
physics, A theorem on spirals in the plane.
J. C. McCully, University of Michigan, February, The operational
calculus of the Laguerre transform.
R. D. McWilliams, The University of Tennessee, minor in chem-
istry, June, Extensions of linear transformations.
Samuel Melamed, McGill University, October, Differential equa-
tions near a singular point.
William Mendenhall, North Carolina State College, Estimation of
parameters of mixed exponentially distributed failure time distributions
from censored life test data.
N. G. Meyers, Indiana University, September, minor in physics,
Asymptotic behavior of solutions of linear elliptic differential equations.
D. W. Miller, University of Wisconsin, June, The structure of uni-
form semigroups.
P. D. Minton, North Carolina State College, Some distributions re-
lated to column totals in sociometrie matrices.
Willard Miranker, New York University, February, The asymp-
totic theory of solutions of Au+k^2 u = 0.
G. W. Morris, University of California, Los Angeles, June, On the
first and second boundary value problems of thermo-elasticity for an
ellipsoid of revolution.
R. D. Morrison, North Carolina State College, Some studies on the
estimates of the exponents in models containing one and two exponentials.
W. O. J. Moser, University of Toronto, May, Abstract groups and
geometrical configurations.
V. L. Mote, North Carolina State College, An investigation of the
effect of misclassification on the x^2 tests in the analysis of categorical data.
J. W. Neuberger, The University of Texas, June, minor in physics,
Continuous products and nonlinear integral equations.
August Newlander, New York University, June, Complex analytic
structure for almost complex manifolds satisfying the integrability con-
dition.
J. A. Nickel, Oregon State College, June, minor in physics, Plane
wedge flow of a homogeneous incompressible isotropic Reiner-Rivlin
fluid.
A. E. Nussbaum, Columbia University, May, The Hausdorff-
Bernstein Widder theorem of semi-groups in locally compact Abelian
groups.
132 DOCTORATES CONFERRED IN 1957 [May
R. R. O'Brien, Massachusetts Institute of Technology, June, minor in physics, A singular perturbation of a boundary value problem for a third order differential equation. E. S. O'Keefe, University of California, Berkeley, June, On the independence of primal algebras. Norman Oler, McGill University, May, An inequality in the geometry of numbers. M. W. Oliphant, The Catholic University of America, June, minors in physics and philosophy, Singular sets and Hausdorff measures. Komorath Padmavally, The University of North Carolina, June, A nonlinear integral equation. M. V. Pai, Purdue University, June, minor in general engineering, Comparisons of the methods of classification. E. T. Parker, The Ohio State University, March, On quadruply transitive groups. H. L. Pearson, Illinois Institute of Technology, June, minor in mechanics, An extension of the concept of derivative with application. R. N. Pederson, University of Minnesota, June, minor in physics, On the unique continuation theorem for certain elliptic partial differen- tial equations. R. N. Pendergrass, Virginia Polytechnic Institute, The rank analysis of triple comparisons. Alfredo Pinero-Perez, University of Michigan, February, Lêgendre integral transforms. W. J. Perry, The Pennsylvania State University, August, Mean value theorems for solutions of certain partial differential equations. W. J. Pervin, University of Pittsburgh, February, Connected map- pings of Hausdorff spaces. D. P. Peterson, University of Oregon, June, Abstract Riemann sums on a compact group. Gideon Peyser, New York University, February, Mixed initial and boundary problem of linear hyperbolic partial differential equations of higher order in two dimensions. D. L. Phillips, Purdue University, June, minor in physics, Multi- parabolic systems of partial differential equations. George Pimbley, New York University, June, Solution of the initial value problem for the linearized multi-velocity transport equations with a slab geometry. Vera S. Pless, Northwestern University, June, Quotient rings of continuous transformation rings. I. P. Polonsky, New York University, June, Pseudo-analytic func- tion with characteristic coefficients in Lp.
134 DOCTORATES CONFERRED IN 1957 [May
J. F. Seewerker, University of California, Los Angeles, June, The extendability of Riemann surface. R. J. Semple, Princeton University, April, Cohomology with unit coefficients in local fields. N. E. Sexauer, University of Illinois, October, Some results con- cerning transformation rings which satisfy various density conditions. Patrick Shanahan, Indiana University, September, An axiomatic characterization of the reduced homology theory. Lena Sharney, New York University, June, Some results in com- binatorial set theory. P. W. Shaw, Stanford University, September, Variational methods in conformai mappings with applications to hydrodynamics. E. P. Shelly, Carnegie Institute of Technology, June, Difference equations of polyharmonic type. F. A. Sherk, University of Toronto, November, The theory of regu- lar maps. M. M. Siddiqui, The University of North Carolina, June, Dis- tributions of some serial correlation coefficients. F. B. Sleator, New York University, February, A variational solu- tion to the problem of scalar scattering by a prolate spheroid. Daniel Slotnick, New York University, June, Asymptotic behavior of solutions of canonical systems near a closed unstable orbit. Stephen Smale, University of Michigan, February, Regular curves on Riemannian manifolds. D. L. Smith, The University of Rochester, June, Uniqueness theory for Laguerre series. J. W. Smith, Columbia University, November, Stability of quasi- linear differential equations. M. B. Smith, Jr., The University of North Carolina, June, An investigation of normal spaces. R. B. Smith, Yale University, June, Representation of certain alge- bras on Hilbert space. J. H. Stapleton, Purdue University, June, minor in psychology, On the theory of asymptotic distributions (mod.) and its extension to abstract spaces. N. B. Stein, Cornell University, June, The third obstruction in com- plex projective spaces. G. R. Strohl, Jr., University of Maryland, August, Peano spaces which are either strongly cyclic or two-cyclic. R. G. Swan, Princeton University, June, Spaces with finite groups of transformations.
1958] DOCTORATES CONFERRED IN 1957^ 135
E. W. Swokowski, University of Wisconsin, June, On the theory of certain Lie rings of skew elements. M. F. Tinsley, The Ohio State University, December, Permanents of cyclic matrices. Anthony Trampus, Case Institute of Technology, June, Differen- tiability and analyticity of functions in linear algebras. Peter Treuenfels, New York University, June, Exponential decay of solutions of certain linear partial differential equations. E. F. Trombley, University of Cincinnati, June, Maximum theo- rems for Hilbert transforms in one and two variables. J. P. Tull, University of Illinois, June, minor in physics, Dirichlet multiplication in lattice point problems. L. H. Turner, Purdue University, August, The direct method in the calculus of variations. J. B. Tysver, University of Michigan, June, Inherent errors in matrices with statistical applications. S. I. Vrooman, University of Pittsburgh, February, Involutions in the plane of two complex variables. J. W. Walker, The University of North Carolina, June, Optimal decomposition of a sample space for estimations based on grouped data. A. I. Weinzweig, Harvard University, June, On fibre spaces and fibre bundles. E. F. Whittlesey, Princeton University, January, Classification of finite 2-complexes. J. B. Wilson, University of Florida, June, minor in engineering mechanics, An orthotropic circular disk subjected to its own weight when supported at a point. Eric Wolman, Harvard University, June, Optimum difference oper- ators for digital control systems. Maria J. Wonenburger, Yale University, June, On the group of similitudes and its projective group. L. T. Wos, University of Illinois, June, minor in philosophy, On commutative prime power subgroups of the norm. R. L. Yates, University of Florida, June, minor in philosophy, On Waring^1 s problem with cubic functions. J. J. Yeh, University of Minnesota, December, Nonlinear Volterra functional equations and linear parabolic differential systems. Peter Yff, University of Illinois, October, minor in geology, On line complexes in a projective four-space. L. N. Zaccaro, Syracuse University, June, A problem-sequence de- velopment of introductory topology.
