Isidore Isaac Hirschman Jr.
American mathematician
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Mathematics
Why Is Isidore Isaac Hirschman Jr. Influential?
(Suggest an Edit or Addition)According to Wikipedia, Isidore Isaac Hirschman Jr. was an American mathematician, and professor at Washington University in St. Louis working on analysis. Life Hirschman earned his Ph.D. in 1947 from Harvard under David Widder. After writing ten papers together, Hirschman and Widder published a book entitled The Convolution Transform. Hirschman spent most of his career at Washington University, where he published mainly in harmonic analysis and operator theory. Washington University holds a lecture series given by Hirschman, with one lecture given by Richard Askey. While Askey was at Washington University, Hirschman asked him to solve an ultraspherical polynomial problem. Askey says in this lecture, "This led to a joint paper, and was what started my interest in special functions."
Isidore Isaac Hirschman Jr.'s Published Works
Published Works
- A Note on Entropy (1957) (283)
- Variation diminishing Hankel transforms (1960) (170)
- On multiplier transformations (1959) (170)
- A convexity theorem for certain groups of transformations (1952) (92)
- Studies in real and complex analysis (1965) (47)
- The spectra of certain Toeplitz matrices (1967) (42)
- The Strong Szego Limit Theorem for Toeplitz Determinants (1966) (34)
- The decomposition of Walsh and Fourier series (1955) (34)
- An explicit inversion formula for finite-section Wiener-Hopf operators (1964) (30)
- The inversion of a general class of convolution transforms (1949) (28)
- On a theorem of Szegö, Kac, and Baxter (1965) (27)
- Multiplier transformations, II (1961) (22)
- Generalized inversion formulas for convolution transforms, II (1948) (19)
- On the Behaviour of Fourier Transforms at Infinity and on Quasi-Analytic Classes of Functions (1950) (19)
- Finite sections of Wiener-Hopf equations and Szegö polynomials (1965) (18)
- On a Formula of Kac and Achiezer (1966) (18)
- A note on the heat equation (1952) (17)
- Generalized Bernstein polynomials (1949) (15)
- Conjugate function theory in weak∗ Dirichlet algebras (1974) (13)
- Variation diminishing transformations and orthogonal polynomials (1961) (13)
- Matrix-valued Toeplitz operators (1967) (13)
- Variation diminishing transformations and ultraspherical polynomials (1960) (12)
- A note on orthogonal systems (1956) (12)
- Convolution transforms with complex kernels. (1951) (11)
- An Inversion and Representation Theory for Convolution Transforms with Totally Positive Kernels. (1948) (9)
- A representation theory for a general class of convolution transforms (1949) (8)
- On a formula of Kac and Achiezer. II (1970) (8)
- Extreme eigen values of Toeplitz forms associated with Jacobi polynomials (1964) (7)
- On lacunary Dirichlet series (1950) (7)
- Errata: On the Distribution of the Zeros of Functions Belonging to Certain Quasi-Analytic Classes (1950) (6)
- A maximal problem in harmonic analysis. II (1959) (6)
- Toeplitz forms and ultraspherical polynomials. (1966) (6)
- Finite section Wiener-Hopf equations on a compact group with ordered dual (1964) (6)
- Szegö Polynomials on a Compact Group with Ordered Dual (1966) (5)
- Sets of uniqueness and multiplicity forlp,α (1965) (5)
- Szegö functions on a locally compact Abelian group with ordered dual (1966) (4)
- Variation diminishing transformations andSturm-Liouville systems (1962) (4)
- A new representation and inversion theory for the Laplace integral (1948) (4)
- Extreme Eigen Values of Toeplitz Operators (1977) (3)
- A Representation Theory of a General Class for Convolution Transforms (1949) (3)
- Szegő limit theorems for Toeplitz operators on compact homogeneous spaces (1982) (2)
- Approximation by Non-Dense Sets of Functions (1949) (2)
- Extreme eigenvalues of Toeplitz forms associated with orthogonal polynomials (1964) (2)
- Hankel transforms and variation diminishing Kernels (1960) (2)
- La transformation de convolution (1965) (1)
- Systems of Partial Differential Equations Which Generalize the Heat Equation (1953) (1)
- On the products of functions represented as convolution transforms (1951) (1)
- On the Eigenvalues of Certain integral Operators (1975) (1)
- On Approximation by Non-Dense Sets of Translates (1951) (1)
- Integral Equations on Certain Compact Homogeneous Spaces (1972) (1)
- Variation-Diminishing Transformations and General Orthogonal Polynomials (1964) (1)
- CHAPTER X. Miscellaneous Topics (1955) (0)
- The fourier series theorem (1977) (0)
- The Asymptotic Behavior of Finite Section Wiener-Hopf Equations (1969) (0)
- Hilbert space background — Small eigen values (1977) (0)
- Analytic functions and linearly ordered groups (1972) (0)
- CHAPTER III. The Non-Finite Kernels (1955) (0)
- Two power series theorems extended to the Laplace transform (1944) (0)
- CHAPTER VI. Real Inversion Theory (1955) (0)
- The fourier series and fourier transform theorems (1977) (0)
- Some remarks on finite section Wiener-Hopf operators (1970) (0)
- CHAPTER IV. Variation Diminishing Transforms (1955) (0)
- Symbols and Notations (1955) (0)
- CHAPTER IX. Complex Inversion Theory (1955) (0)
- MAA Studies in Mathematics, Vol. 3. Studies in Real and Complex Analysis. (1967) (0)
- CHAPTER V. Asymptotic Behaviour of Kernels (1955) (0)
- CHAPTER VIII. The Weierstrass Transform (1955) (0)
- Eigen values of Toeplitz operators on ${\rm SU}(2)$ (1974) (0)
- Note on a result of Levine and Lifschitz (1950) (0)
- CHAPTER II. The Finite Kernels (1955) (0)
- The behavior at infinity of certain convolution transforms (1951) (0)
- On Non-Uniformly Quasi-Analytic Functions (1950) (0)
- Finite Sections of Some Classical Inequalities (Herbert S. Wilf) (1971) (0)
- An Introduction to Transform Theory (D. V. Widder) (1973) (0)
- Hilbert space theory — Large eigen values (1977) (0)
- CHAPTER VII. Representation Theory (1955) (0)
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