Lee Albert Rubel
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American mathematician
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Lee Albert Rubelmathematics Degrees
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Mathematics
Lee Albert Rubel's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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Why Is Lee Albert Rubel Influential?
(Suggest an Edit or Addition)According to Wikipedia, Lee Albert Rubel was a mathematician known for his contributions to analog computing. Career Originally from New York, he held a Doctorate of Mathematics degree from University of Wisconsin-Madison, and was professor of Mathematics at University of Illinois at Urbana-Champaign since 1954.
Lee Albert Rubel's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Values shared by an entire function and its derivative (1977) (243)
- Constructive Function Theory (1984) (97)
- The Extended Analog Computer (1993) (95)
- Entire Functions and Related Parts of Analysis (1968) (86)
- An extremal property of the Bloch space (1979) (76)
- A differentially algebraic replacement theorem, and analog computability (1987) (69)
- A Fourier series method for meromorphic and entire functions (1966) (69)
- The second duals of certain spaces of analytic functions (1970) (65)
- A universal differential equation (1981) (65)
- Entire and Meromorphic Functions (1996) (64)
- The space of bounded analytic functions on a region (1966) (64)
- A survey of transcendentally transcendental functions (1989) (58)
- On Small Entire Functions of Exponential-Type with Given Zeros (1961) (55)
- Some research problems about algebraic differential equations (1983) (47)
- NECESSARY AND SUFFICIENT CONDITIONS FOR CARLSON'S THEOREM ON ENTIRE FUNCTIONS. (1955) (47)
- Digital simulation of analog computation and Church's thesis (1989) (45)
- Some mathematical limitations of the general-purpose analog computer (1988) (44)
- Functional separation of variables for Laplace equations in two dimensions (1993) (41)
- A differentially algebraic elimination theorem with application to analog computability in the calculus of variations (1985) (41)
- Complex Analysis: A Functional Analysis Approach (1984) (39)
- SOME APPLICATIONS OF NEV ANLINNA THEORY TO MATHEMATICAL LOGIC: IDENTITIES OF EXPONENTIAL FUNCTIONS (39)
- The bounded weak-star topology and the bounded analytic functions☆ (1970) (38)
- Coherence of some rings of functions (1976) (38)
- Mergelyan sets and the modulus of continuity of analytic functions (1975) (36)
- Irreducibility of certain entire functions with applications to harmonic analysis (1978) (36)
- Four counterexamples to Bloch’s principle (1986) (33)
- Correction to: “Some applications of Nevanlinna theory to mathematical logic: identities of exponential functions” [Trans. Amer. Math. Soc. 282 (1984), no. 1, 1–32; MR0728700 (85h:03015)] (1986) (31)
- Bounded approximation by polynomials (1963) (28)
- Subfields that are algebraically closed in the field of all meromorphic functions (1964) (26)
- First order topology (1977) (25)
- An estimate of the error due to the truncated boundary in the numerical solution of the Blasius equation (1955) (24)
- A Universal Entire Function (1983) (21)
- A Gap Theorem for Power Series Solutions of Algebraic Differential Equations (1986) (20)
- A Fourier series method for entire functions (1963) (20)
- Some research problems about algebraic differential equations II (1992) (20)
- Interpolation and unavoidable families of meromorphic functions. (1974) (18)
- Sums of products of functions of x times functions of y (1989) (18)
- COHERENT FAMILIES OF POLYNOMIALS (1986) (17)
- First-Order Conformal Invariants (1980) (16)
- Solutions of algebraic differential equations (1983) (16)
- The Arithmetic of Entire Functions under Composition (1996) (16)
- Sets on which an entire function is determined by its range (1981) (16)
- Bounded convergence of analytic functions (1971) (16)
- On the Growth of Blaschke Products (1969) (15)
- The failure of interior-exterior factorization in the polydisc and the ball (1972) (15)
- Some Counterexamples to Separation of Variables (1995) (15)
- Joint approximation in the unit disc (1983) (14)
- Algebraic properties of the ring of general exponential polynomials (1989) (14)
- On badly approximable functions (1976) (14)
- An independence result in several complex variables (1991) (13)
- Functional Analysis Proofs of Some Theorems in Function Theory (1969) (13)
- Advanced Problems: 6279-6281 (1979) (12)
- Uniform distribution in locally compact Abelian groups (1968) (11)
- Corrigendum to: “A differentially algebraic replacement theorem, and analog computability” [Proc. Amer. Math. Soc. 99 (1987), no. 2, 367–372; MR0870803 (88e:12006)] (1988) (11)
- Closed-form solutions of some partial differential equations via quasi-solutions II (1991) (11)
- Differentiability of monotonic functions (1963) (11)
- Approximate versions of Cauchy's functional equation (1995) (10)
- Uniform distribution in locally compact groups (1964) (10)
- Proceedings of the Symposium on Complex Analysis Canterbury 1973: Joint approximation in the complex domain (1974) (9)
- On the curvature of the level lines of a harmonic function (1963) (9)
- On Weierstrass products of zero type on the real axis (1960) (9)
- The fractional derivative via entire functions (1971) (9)
- Subseries of the Power Series for e x (1980) (8)
- When is the composition of two power series even? (1994) (8)
- A survey of a fourier series method for meromorphic functions (1973) (8)
- On the location of the zeros of the derivative of a polynomial (1982) (8)
- Some Closed‐Form Solutions of Burgers’ Equation (1993) (7)
- Weak topologies on the bounded holomorphic functions (1965) (7)
- Unavoidable systems of functions (1995) (7)
- Uniform Approximation by Entire Functions That Are All Bounded on a Given Set (1998) (7)
- Zeros of Sections of Divergent Power Series (1996) (6)
- The motions of an ordinary differential equation (1979) (6)
- A Pathological Lebesgue-Measurable Function (1963) (6)
- Invariant subspaces of L∞ and H∞. (1975) (6)
- Interpolation in Separable Frechet Spaces with Applications to Spaces of Analytic Functions (1975) (6)
- A uniqueness theorem for monic Blaschke products (1986) (5)
- Holomorphic Functionals on Open Riemann Surfaces (1976) (5)
- Generalized solutions of algebraic differential equations (1986) (5)
- A Fourier Series Method (1996) (5)
- The Darboux property and solutions of algebraic differential equations. (1985) (5)
- The Editor's Corner. Summability Theory: a Neglected Tool of Analysis (1989) (5)
- Densities on locally compact Abelian groups (1968) (5)
- Hyperbolic Mean Automorphic Functions (1967) (5)
- An Abelian theorem for number-theoretic sums (1960) (5)
- The Riemann-Stieltjes Integral (1996) (4)
- Internal-external factorization in Lumer's Hardy spaces (1983) (4)
- Special Trigonometric Series and the Riemann Hypothesis. (1966) (4)
- Correction to “Functional Analysis Proofs of Some Theorems in Function Theory” (1970) (4)
- A collection of research problems in mathematical analysis (1974) (4)
- Invariant subspaces of $L^\infty$ and $H^\infty$ (1973) (4)
- A counterexample to elimination in systems of algebraic differential equations (1983) (4)
- Separability of orbits of functions on locally compact groups (1973) (4)
- Interpolation by non-negative polynomials (1980) (4)
- Approximation and Capacities (1984) (3)
- A Completeness Theorem for Entire Functions (1968) (3)
- Elementary Problems: E3237-E3242 (1987) (3)
- Rational approximation and Swiss cheeses of positive area (1982) (3)
- Maximal means and Tauberian theorems. (1960) (3)
- Very slowly varying functions (1972) (3)
- Linear partial differential operators and mean-automorphic functions (1977) (3)
- The factorization of $A(z)+B(w)$ under composition (1995) (3)
- On the density of sets of integers possessing additive bases (1960) (3)
- Tauberian theorems for sum sets (1964) (3)
- An operational calculus in miniature (1977) (3)
- Every smooth map of Euclidean space into itself is an expansion followed by a contraction (1988) (3)
- The Cauchy Theorem (1984) (3)
- A Converse to Rouché's Theorem (1982) (3)
- An example of a rigid partial differential equation (1980) (3)
- On the ring of differentially-algebraic entire functions (1992) (3)
- Difference sets and inverting the difference operator (1996) (3)
- Problems: 10459-10465 (1995) (2)
- Generalized Solutions of Autonomous Algebraic Differential Equations (1986) (2)
- Totally Abelian operators and analytic functions (1973) (2)
- Lectures on Vector Spaces of Analytic Functions (1969) (2)
- A generalized characteristic for meromorphic functions (1967) (2)
- Uniqueness theorems for analytic functions of one and of several complex variables (1968) (2)
- Uniform Approximation by Rational Functions Which All Satisfy the Same Algebraic Differential Equation (1996) (2)
- A net of exponentials converging to a nonmeasurable function (1983) (2)
- Badly approximable functions and interpolation by Blaschke products (1976) (2)
- Restrictions on the zeroes of Lagrange interpolants to analytic functions (1986) (2)
- On osculatory interpolation by trigonometric polynomials (1979) (2)
- The space of totally bounded analytic functions (1987) (2)
- The Maximum Term of an Entire Function (1996) (1)
- Seven different proofs that $L^\infty/H^\infty$ is not separable (1975) (1)
- Riemann-Lebesgue centers of plane domains (1978) (1)
- Differentially cyclic functions (1990) (1)
- Summability theory: a neglected tool of analysis (1989) (1)
- Shorter Notes: An Extension of Runge's Theorem (1975) (1)
- On the zero sets of certain entire functions (1996) (1)
- Simultaneous approximation and interpolation by entire functions (1976) (1)
- An unsolvable Cousin problem (1988) (1)
- The differential equation y‴ = 0 revisited (1991) (1)
- Uniqueness properties of sets with blocks (1956) (1)
- A complex-variables proof of Hölder’s inequality (1964) (1)
- Two theorems on inverse interpolation (1988) (1)
- An extension of Runge’s theorem (1975) (1)
- Convolution cut-down in some radical convolution algebras. (1979) (1)
- Integer translation of meromorphic functions (1997) (1)
- Harmonic analysis of harmonic functions in the plane (1976) (0)
- Erratum to "On the Location of the Zeros of the Derivative of a Polynomial" (1988) (0)
- Integer-Valued Entire Functions (1996) (0)
- Problems for Solution: 4738-4742 (1957) (0)
- A Lemma of Borel and Some Applications (1996) (0)
- Advanced Problems: 6356-6361 (1981) (0)
- The Dual of H(G) (1984) (0)
- Elementary Problems: E3031-E3034 (1984) (0)
- Carathéodory Kernels and Farrell’s Theorem (1984) (0)
- Preliminaries: Vector Spaces and Complex Variables (1984) (0)
- ON LOCALLY COMPACT ABELIAN GROUPS (2002) (0)
- The motions of a partial differential equation (1983) (0)
- Null sets for algebraic differential equations (1990) (0)
- 8.6. Badly approximable functions on curves and regions (1984) (0)
- Elementary Properties of T(r, f) (1996) (0)
- The Pólya Representation Theorem (1996) (0)
- A relation between Fourier and Mellin averages (1966) (0)
- Exterior functions and strictly continuous homomorphisms in the algebra of bounded analytic functions (1979) (0)
- The Hahn-Banach Theorem, and Applications (1984) (0)
- A Proof of the Second Fundamental Theorem (1996) (0)
- Totally positive functions and totally bounded functions on U−1, 1e (1988) (0)
- On separation by harmonic functions (1964) (0)
- Locally Outer Functions (1977) (0)
- Erratum to: “On the location of the zeros of the derivative of a polynomial” [Proc. Amer. Math. Soc. 86 (1982), no. 1, 37–41; MR0663862 (83h:30006)] (1988) (0)
- Elementary Problems: E3117-E3122 (1985) (0)
- A Gap Theorem for Differentially Algebraic Power Series (1991) (0)
- Preliminaries: Set Theory and Topology (1984) (0)
- Yet another characterization of the sine function (1981) (0)
- Conformal inequivalence of annuli and the first-order theory of subgroups of (2,) (1983) (0)
- Invariance of the Discriminant of a Quadratic Form (1957) (0)
- A characterization of internal functions on multiply connected regions (1984) (0)
- Correction to "An Abelian theorem for number-theoretic sums" (1961) (0)
- Advanced Problems: 6545-6547 (1987) (0)
- Dual Space Topologies (1984) (0)
- Duality of H(G)—The Case of the Unit Disc (1984) (0)
- The Poisson-Jensen Formula (1996) (0)
- Identities of Exponential Functions (1996) (0)
- On the integer zeros of exponential polynomials (1993) (0)
- Bounded by Polynomial Approximation (1964) (0)
- Correction to "Functional Analysis Proofs of Some Theorems in Function Theory" (1970) (0)
- Barycenters of extreme points in the cone of non-negative entire functions (1985) (0)
- Shorter Notes: A Uniqueness Theorem for Monic Blaschke Products (1986) (0)
- Diierence Sets and Computability Theory Zoltt an F Uredi (1996) (0)
- Invariant subspaces of L∞ of certain homogeneous spaces (1975) (0)
- The motions of algebraic differential equations (1984) (0)
- More about C(G) and H(G) (1984) (0)
- Gap-Interpolation Theorems (1984) (0)
- “Two Constant” Theorems and the Phragmén-Lindelöf Theorems (1996) (0)
- Advanced Problems: 6126-6131 (1977) (0)
- Ring (not Algebra) Isomorphisms of H(G) (1984) (0)
- Jensen’s Theorem and Applications (1996) (0)
- Problems for Solution: 5171-5180 (1964) (0)
- Entire, meromorphic and subharmonic functions (1984) (0)
- Picard’s Theorem and the Second Fundamental Theorem (1996) (0)
- Advanced Problems: 6570-6571 (1988) (0)
- Correction to my paper “Closed-form solutions of some partial differential equations via quasi-solutions II” (1995) (0)
- The First Fundamental Theorem of Nevanlinna Theory (1996) (0)
- Erratum Uniform Approximation by Entire Functions That Are All Bounded on a Given Set (1999) (0)
- Uniform Distribution and Densities on Locally Compact Abelian Groups (1969) (0)
- Formal Power Series (1996) (0)
- Advanced Problems: 6566-6567 (1988) (0)
- The Riemann Mapping Theorem (1984) (0)
- The Cartan Formulation of the Characteristic (1996) (0)
- Problems for Solution: 4845-4850 (1959) (0)
- Applications of T(r) (1996) (0)
- Elementary Problems: E3243-E3248 (1988) (0)
- Problems for Solution: 4851-4856 (1959) (0)
- Ideals in H(G) (1984) (0)
- Advanced Problems: 6563-6565 (1988) (0)
- Properties of C(G) and H(G) (1984) (0)
- Advanced Problems: 6423-6426 (1983) (0)
- The First-Order Theory of the Ring of All Entire Functions (1996) (0)
- The Miles-Rubel-Taylor Theorem on Quotient Representations of Meromorphic Functions (1996) (0)
- Difference Sets and Computability Theory (1998) (0)
- Advanced Problems: 6548-6550 (1987) (0)
- Advanced Problems: 6392 (1982) (0)
- Quotients of solutions of linear algebraic differential equations (1991) (0)
- Relation Between the Growth of an Entire Function and the Size of Its Taylor Coefficients (1996) (0)
- Elementary Problems: E3195-E3200 (1987) (0)
- Some orderings induced by spaces of analytic functions. (1980) (0)
- Entire functions: by A. I. Markushevich, Russian translation by Scripta Technica, Inc., 103 pages, 6 × 9 in. New York, American Elsevier Pub. Co., Inc., 1966. Price, $6.50 (1967) (0)
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