Robert Horton Cameron
American mathematician
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Mathematics
Robert Horton Cameron's Degrees
- PhD Mathematics Princeton University
Why Is Robert Horton Cameron Influential?
(Suggest an Edit or Addition)According to Wikipedia, Robert Horton Cameron was an American mathematician, who worked on analysis and probability theory. He is known for the Cameron–Martin theorem. Education and career Cameron received his Ph.D. in 1932 from Cornell University under the direction of W. A. Hurwitz. He studied under a National Research Council postdoc at the Institute for Advanced Study in Princeton from 1933 to 1935. Cameron was a faculty member at MIT from 1935 to 1945. He was then a faculty member at the University of Minnesota until his retirement. He spent the academic year 1953–1954 on sabbatical leave at the Institute for Advanced Study. His doctoral students include Monroe D. Donsker and Elizabeth Cuthill. He had a total of 35 Ph.D. students at the University of Minnesota — his first two graduated in 1946 and his last one in 1977. Cameron published a total of 72 papers — his first in 1934 and his last, posthumously, in 1990.
Robert Horton Cameron's Published Works
Published Works
- The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals (1947) (1269)
- Transformations of Weiner Integrals Under Translations (1944) (384)
- A Family of Integrals Serving to Connect the Wiener and Feynman Integrals (1960) (239)
- Transformations of Wiener integrals under a general class of linear transformations (1945) (162)
- Nonlinear Integral Equations (1964) (147)
- Some banach algebras of analytic feynman integrable functionals (1980) (145)
- An $L_2$ analytic Fourier-Feynman transform. (1976) (103)
- Evaluation of various Wiener integrals by use of certain Sturm-Liouville differential equations (1945) (99)
- The behavior of measure and measurability under change of scale in Wiener space (1947) (89)
- The transformation of Wiener integrals by nonlinear transformations (1949) (77)
- The first variation of an indefinite Wiener integral (1951) (77)
- The Ilstow and Feynman integrals (1962) (69)
- An Operator Valued Function Space Integral and a Related Integral Equation (1968) (64)
- The translation pathology of Wiener space (1954) (62)
- An unsymmetric Fubini theorem (1941) (61)
- The Wiener Measure of Hilbert Neighborhoods in the Space of Real Continuous Functions (1944) (60)
- Fourier-Wiener transforms of analytic functionals (1945) (53)
- A “Simpson’s rule” for the numerical evaluation of Wiener’s integrals in function space (1951) (50)
- Additive functionals on a space of continuous functions. I (1951) (47)
- Fourier-Wiener transforms of functionals belonging to $L_2$ over the space $C$ (1947) (45)
- An Expression for the Solution of a Class of Non-Linear Integral Equations (1944) (44)
- Some examples of Fourier-Wiener transforms of analytic functionals (1945) (36)
- A simple definition of the Feynman integral, with applications (1983) (26)
- Almost Periodic Properties of Bounded Solutions of Linear Differential Equations with Almost Periodic Coefficients (1936) (23)
- The Generalized Heat Flow Equation and a Corresponding Poisson Formula (1954) (23)
- An Operator‐Valued Function‐Space Integral Applied to Integrals of Functions of Class L1 (1973) (20)
- Nonlinear transformations of Volterra type in Wiener space (1953) (20)
- Non-Linear Integral Equations (1950) (19)
- Analytic continuation for functions of several complex variables (1966) (17)
- Linear differential equations with almost periodic coefficients (1935) (16)
- Analytic Feynman integral solutions of an integral equation related to the Schroedinger equation (1980) (15)
- A translation theorem for analytic Feynman integrals (1966) (15)
- Analytic continuation of diagonals and Hadamard compositions of multiple power series (1938) (14)
- An operator valued function space integral applied to multiple integrals of functions of class L1 (1973) (13)
- An operator valued function space integral applied to integrals of functions of class L2 (1973) (11)
- Analytic functions of absolutely convergent generalized trigonometric sums (1937) (11)
- Inversion Formulae for Characteristic Functionals of Stochastic Processes (1959) (11)
- Nonlinear volterra functional equations and linear parabolic differential systems (1956) (10)
- TWO RELATED INTEGRALS OVER SPACES OF CONTINUOUS FUNCTIONS (1974) (10)
- Temperature Distribution in Cylinder Heated by Point Source Moving Along Its Axis (1947) (9)
- New Existence Theorems and Evaluation Formulas for Sequential Feynman Integrals (1986) (8)
- On the summability of certain series for unbounded nonlinear functionals (1953) (6)
- On the summability of certain orthogonal developments of nonlinear functionals (1949) (6)
- New Existence Theorems and Evaluation Formulas for Analytic Feynman Integrals (1989) (6)
- Differential equations involving a parametric function (1957) (5)
- Approximations to certain Feynman integrals (1968) (5)
- Model validation of discrete transfer functions using the distortion method (1998) (5)
- An entire solution of the functional equation f(λ)+f(ω λ)f(ω−1λ)=1, (ω5=1) (1973) (4)
- Convergence properties of analytic functions of Fourier-Stieltjes transforms (1939) (4)
- Sequential Fourier-Feynman transforms (1985) (3)
- Linearization of certain nonlinear functional equations (1952) (3)
- Almost periodic transformations (1934) (3)
- Unbounded Feynman integrable functionals defined in terms of analytic functions (1988) (2)
- Quadratures Involving Trigonometric Sums (1940) (2)
- Some Introductory Exercises in the Manipulation of Fourier Transforms (1941) (2)
- Implicit functions of almost periodic functions (1934) (1)
- An operator-valued Yeh-Feynman integral and a Feynman integral equation (1980) (1)
- The Distribution of Values of an Analytic Almost Periodic Function in Equally Spaced Circles (1938) (1)
- Infinite linear difference equations with arbitrary real spans and first degree coefficients (1943) (1)
- Alien Registration- Cameron, Robert H. (Bangor, Penobscot County) (1940) (0)
- Quadratic Convolution Equations (1942) (0)
- Needle-through catheter and inserting method (1989) (0)
- Progress of Native Cattle at the African Veterinary Training Centre, Sangalo, North Kavirondo, 1933–1942 (1945) (0)
- FUNCTIONAL ANALYSIS AND STOCHASTIC PROCESSES. (1969) (0)
- Device and method for introducing a catheter by a needle. (1989) (0)
- Errata: Differential Equations Involving a Parametric Function. (1958) (0)
- A Method of Solving the Linear Differential Equation with Constant Coefficients (1934) (0)
- Discussion: “The Theory of Moving Sources of Heat and Its Application to Metal Treatments” (Rosenthal, D., 1946, Trans. ASME, 68, pp. 849–865) (1946) (0)
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