Allen Shields
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Mathematician
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Mathematics
Allen Shields's Degrees
- PhD Mathematics University of Chicago
- Masters Mathematics University of Chicago
- Bachelors Mathematics University of Chicago
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Why Is Allen Shields Influential?
(Suggest an Edit or Addition)According to Wikipedia, Allen Lowell Shields was an American mathematician who worked on measure theory, complex analysis, functional analysis and operator theory, and was "one of the world's leading authorities on spaces of analytic functions."
Allen Shields'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
- WEIGHTED SHIFT OPERATORS AND ANALYTIC FUNCTION THEORY (1974) (713)
- On the Structure of Semigroups on a Compact Manifold With Boundary (1957) (453)
- Cyclic vectors and invariant subspaces for the backward shift operator (1970) (260)
- On Some Interpolation Problems for Analytic Functions (1961) (258)
- Bonded projections, duality, and multipliers in spaces of analytic functions (1971) (242)
- Linear functionals on Hp spaces with 0 < p < 1. (1969) (189)
- Geometric Transformations I (1962) (164)
- On the zeros of functions with finite Dirichlet integral and some related function spaces (1962) (144)
- Cyclic vectors in the Dirichlet space (1984) (131)
- On absolutely convergent exponential sums (1960) (108)
- Singular measures and domains not of Smirnov type (1966) (103)
- Multipliers and cyclic vectors in the Bloch space. (1991) (96)
- Bounded projections, duality, and multipliers in spaces of harmonic functions. (1978) (86)
- COEFFICIENT MULTIPLIERS OF BLOCH FUNCTIONS (1976) (86)
- Unusual Topological Properties of the Nevanlinna Class (1975) (67)
- Bounded projections and the growth of harmonic conjugates in the unit disc. (1982) (66)
- The second duals of certain spaces of analytic functions (1970) (65)
- The space of bounded analytic functions on a region (1966) (64)
- On fixed points of commuting analytic functions (1964) (58)
- Almost commuting matrices (1979) (49)
- Approximation by Compact Operators and the Space Hînfty + C (1979) (42)
- A survey of the Lomonosov technique in the theory of invariant subspaces (1974) (41)
- Semigroups with identity on a manifold (1959) (39)
- Bounded analytic functions in the Dirichlet space (1988) (39)
- Coefficient multipliers of Hp and Bp spaces (1970) (36)
- Mergelyan sets and the modulus of continuity of analytic functions (1975) (36)
- Invariant subspaces in Banach spaces of analytic functions. (1990) (34)
- Bounded approximation by polynomials (1963) (28)
- The essential norm of an operator and its adjoint (1980) (28)
- Univalent multipliers of the Dirichlet space. (1985) (28)
- On cyclic vectors of the backward shift (1967) (26)
- Rank-one commutators and hyperinvariant subspaces. (1976) (25)
- Coefficient multipliers ofHpandBpspaces (1970) (23)
- One-parameter semigroups in a semigroup (1960) (23)
- Properties of ^{} (0<<1) and its continuing Banach space (1969) (22)
- Connectivity of topological lattices (1959) (22)
- Geometric Transformations II (1968) (21)
- On quotients of exponential polynomials (1963) (20)
- Cyclic Vectors in Banach Spaces of Analytic Functions (1985) (18)
- An analogue of a hardy-littlewood-fejér inequality for upper triangular trace class operators (1983) (17)
- Bounded analytic functions and absolutely continuous measures (1967) (16)
- Inner functions and cyclic vectors in the Bloch space (1991) (16)
- Singular inner factors of analytic functions. (1969) (15)
- Weakly Invertible Elements in the Space of Square-Summable Holomorphic Functions (1974) (15)
- The failure of interior-exterior factorization in the polydisc and the ball (1972) (15)
- Restrictions of $H\sp{p}$ functions to the diagonal of the polydisc (1975) (15)
- Sufficient conditions for rank-one commutators and hyperinvariant subspaces. (1976) (14)
- On badly approximable functions (1976) (14)
- Linear functionals on Hp spaces with 0 (1969) (12)
- Geometric Transformations I: Isometries (1962) (12)
- A note on invariant subspaces. (1970) (10)
- Zero sets, interpolating sequences, and cyclic vectors for Dirichlet spaces. (1992) (9)
- EXTENSIONS OF HARMONIC AND ANALYTIC FUNCTIONS (1990) (8)
- On a class of semigroups on _ (1956) (8)
- A note on a problem of D. Pompeiu (1968) (7)
- Weak topologies on the bounded holomorphic functions (1965) (7)
- Invariant subspaces of L∞ and H∞. (1975) (6)
- Factorizations of Lebesgue measure via convolutions (1988) (6)
- Interpolation in Hilbert spaces of analytic functions (1963) (6)
- Approximation by analytic functions uniformly continuous on a set (1975) (5)
- Large and small subspaces of Hilbert space. (1965) (5)
- Hyperbolic Mean Automorphic Functions (1967) (5)
- Hyperinvariant subspaces for operators on the space of complex sequences. (1972) (5)
- Invariant subspaces of $L^\infty$ and $H^\infty$ (1973) (4)
- Cyclic vectors for multiplication operators. (1988) (4)
- Separability of orbits of functions on locally compact groups (1973) (4)
- Years ago (1989) (3)
- Universal redundancy rates for B-processes do not exist (1994) (3)
- Badly approximable functions and interpolation by Blaschke products (1976) (2)
- On eigenvectors of compact contractions acting in linear metric spaces (1968) (2)
- The $n$-cube as a product semigroup. (1957) (2)
- Geometric Transformations II: Comparison of problem numbers between the Russian edition (1955) and the English translation (1968) (1)
- Geometric Transformations II: Translator's Preface (1962) (1)
- Extreme Points in Quotients of Operator Algebras (1988) (1)
- Problems for Solution: 4959-4964 (1961) (1)
- Years ago (1988) (0)
- The sets of Lusin points of analytic functions. (1957) (0)
- Geometric Transformations II: Introduction. What is Geometry? (1962) (0)
- Proceedings of the Symposium on Complex Analysis Canterbury 1973: Approximation by analytic functions uniformly continuous on a set (1974) (0)
- Properties of $H\sp{p}$ $(0 (1969) (0)
- Geometric Transformations II: From the Author's Preface (1968) (0)
- Geometric Transformations I: Solutions (1962) (0)
- Dedication to George Piranian. (1985) (0)
- A Survey of Some Results on Invariant Subspaces in Operator Theory (1978) (0)
- Some problems in operator theory (1978) (0)
- Spectral analysis and synthesis (1984) (0)
- Author's Preface (1997) (0)
- Geometric Transformations II: Further Applications of Isometrics and Similarities (1968) (0)
- Geometric Transformations II: Solutions (1968) (0)
- On continuous multiplications on the two-sphere (1956) (0)
- Geometric Transformations II: Classification of Similarity Tranaformations (1968) (0)
- Review: Giovanni Sansone and Johan Gerretsen, Lectures on the theory of functions of a complex variable, Vol. I (1963) (0)
- Geometric Transformations I: Displacements (1962) (0)
- Years ago (1989) (0)
- Years ago (1989) (0)
- Geometric Transformations I: Symmetry (1962) (0)
- Years ago (1987) (0)
- Years ago (1989) (0)
- Years ago (1988) (0)
- Years ago (1988) (0)
- 8.5. Cyclic vectors in spaces of analytic functions (1984) (0)
- Years ago (1987) (0)
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