Harry Pollard
American mathematician
Harry Pollard 's AcademicInfluence.com Rankings
Download Badge
Mathematics
Why Is Harry Pollard Influential?
(Suggest an Edit or Addition)According to Wikipedia, Harry Pollard was an American mathematician. He received his Ph.D from Harvard University in 1942 under the supervision of David Widder. He then taught at Cornell University, and was Professor of Mathematics at Purdue University from 1961 until his death in 1985. He is known for his work on celestial mechanics, orthogonal polynomials and the n-body problem as well as for the several textbooks he authored or co-authored. In the theory of Orthogonal polynomials, Pollard solved a conjecture of Antoni Zygmund norms for the Legendre polynomials and Jacobi polynomials in a series of three papers in the Transactions of the American Mathematical Society. The first of these papers deals with the fundamental case of Legendre polynomials. The end point cases in Pollard's theorem was established by Sagun Chanillo.
Harry Pollard 's Published Works
Published Works
- Lectures on Fourier Integrals (1959) (411)
- The completely monotonic character of the Mittag-Leffler function $E_a \left( { - x} \right)$ (1948) (193)
- A property of power series with positive coefficients (1949) (125)
- The representation of $e^{ - x^\lambda }$ as a Laplace integral (1946) (103)
- The mean convergence of orthogonal series. II (1948) (97)
- The mean convergence of orthogonal series. I (1947) (86)
- The mean convergence of orthogonal series. III (1949) (85)
- The theory of algebraic numbers (1950) (78)
- Lectures on Fourier integrals : with an author's supplement on monotonic functions, Stieltjes integrals, and harmonic analysis (1959) (77)
- Singularities of the n-body problem. I (1968) (57)
- Ordinary differential equations : an elementary textbook for students of mathematics, engineering, and the sciences (1963) (52)
- The Distribution of the Maximum of Partial Sums of Independent Random Variables (1950) (49)
- A non-classical variational problem arising from an optimal filter problem (1967) (42)
- The harmonic analysis of bounded functions (1953) (41)
- Some Absolutely Monotonic and Completely Monotonic Functions (1974) (31)
- The convergence almost everywhere of Legendre series (1972) (31)
- Convergence and summability properties of subsequences (1943) (28)
- Complete Sets of Bessel and Legendre Functions (1947) (26)
- Representation of an Analytic Function by a Laguerre Series (1947) (25)
- The Mean Convergence of Orthogonal Series of Polynomials. (1946) (21)
- The multiplicative completion of sets of functions (1948) (21)
- Non-Linear Mathematics. (1966) (20)
- Continuous Analogues of Series (1973) (19)
- A sharp form of the Virial theorem (1964) (18)
- The Bernstein approximation problem (1955) (17)
- An extension of renewal theory (1952) (17)
- SOLUTION OF BERNSTEIN'S APPROXIMATION PROBLEM' (1953) (16)
- Distribution functions containing a Gaussian factor (1953) (14)
- The behavior of gravitational systems. (1967) (13)
- Variations on the Binomial Series (1972) (13)
- The Poisson transform (1955) (12)
- The closure of translations in (1951) (10)
- Completeness Theorems of Paley-Wiener Type (1944) (9)
- Escape from a gravitational system of positive energy (1970) (9)
- An inequality for the Riemann-Stieltjes integral (1970) (8)
- Sequences with vanishing even differences (1945) (6)
- Applied mathematics: an introduction. (1972) (6)
- Properties equivalent to the completeness of $\left\{ {e^{ - t} t^{\lambda _n } } \right\}$ (1946) (6)
- The Bernstein-Widder theorem on completely monotonic functions (1944) (5)
- Some nonlinear Tauberian theorems (1967) (5)
- Representation as a Gaussian integral (1943) (5)
- A variational problem related to an optimal filter problem with self-correlated noise (1969) (5)
- Subseries of a convergent series (1943) (5)
- The inversion of the transforms with reiterated Stieltjes kernels (1947) (4)
- The Asymptotic Behavior of Derivatives (1978) (4)
- One-sided boundedness as a condition for the unique solution of certain heat equations (1944) (4)
- On the Relative Stability of the Median and Arithmetic Mean, with Particular Reference to Certain Frequency Distributions Which Can Be Dissected into Normal Distributions (1934) (4)
- A non-classical variational problem arising from an optimal filter problem. II (1970) (4)
- Inversion of a Convolution Transform Related to Heat Conduction (1970) (3)
- Review: Herman H. Goldstine, A history of the calculus of variations from the 17th through the 19th century (1982) (3)
- Addenda to “A variational problem related to an optimal filter problem with self-correlated noise” (1971) (3)
- THE FINITE CONVOLUTION TRANSFORM (1959) (2)
- An elementary Tauberian theorem of nonlinear type (1970) (2)
- The integral transforms with iterated Laplace kernels (1947) (2)
- Note on the inversion of the Laplace integral (1940) (2)
- On Stieltjes' Integral Equation (1945) (1)
- The mean convergence of non-harmonic series (1944) (1)
- A class of filter problems, I: Existence theory (1980) (1)
- A new criterion for completely monotonic functions (1944) (1)
- Gaussian representations related to heat conduction (1969) (1)
- Inversion of an integral transform (1958) (0)
- Corrections to our paper (1968) (0)
- Note on the preceding paper (1945) (0)
- Differential Equations with Linear Algebra.@@@Introduction to Differential Equations.@@@Fundamentals of Differential Equations.@@@Introduction to Differential Equations with Applications.@@@Ordinary Differential Equations (1987) (0)
- Elementary Problems: E2190-E2195 (1969) (0)
- Representation as a Poisson transform (1957) (0)
- Problems for Solution: 4558-4562 (1953) (0)
- An inversion formula for the Stieltjes transform (1944) (0)
- Note on the kernel $exp(-\vert x-y\vert )$ (1950) (0)
- Integral Transforms II (1948) (0)
- LIARS AND STATISTICIANS (1945) (0)
- A note on Bernstein’s approximation problem (1955) (0)
- Elementary Problems: E2172-E2177 (1969) (0)
- Fourier series with coefficients in a Banach space (1944) (0)
- Real inversion formulas for Laplace integrals (1940) (0)
- Advanced Problems: 5658-5664 (1969) (0)
This paper list is powered by the following services:
Other Resources About Harry Pollard
What Schools Are Affiliated With Harry Pollard ?
Harry Pollard is affiliated with the following schools:
