Rhonda Hughes
American mathematician & academic
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Mathematics
Rhonda Hughes'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 Rhonda Hughes Influential?
(Suggest an Edit or Addition)According to Wikipedia, Rhonda Jo Hughes is an American mathematician, the Helen Herrmann Professor Emeritus of Mathematics at Bryn Mawr College. Education Hughes grew up on the South Side of Chicago. She attended Gage Park High School, where she was a cheerleader and valedictorian of her class. She studied engineering at the University of Illinois at Urbana–Champaign for one and a half years, then left school and worked for six months before resuming her education at the University of Illinois at Chicago on an Illinois State Scholarship studying mathematics. There, she came under the mentorship of Yoram Sagher, who encouraged her to pursue graduate studies in mathematics. She earned a Ph.D. from the same university in 1975, under the supervision of Shmuel Kantorovitz, with a dissertation entitled Semi-Groups of Unbounded Linear Operators in Banach Space.
Rhonda Hughes's Published Works
Published Works
- A New Class of Point Interactions in One Dimension (1993) (73)
- Structural Stability for Ill-Posed Problems in Banach Space (2005) (58)
- Semigroups of unbounded linear operators in Banach space (1977) (24)
- Generalized Kronig-Penney hamiltonians (1998) (20)
- Regularization of the backward heat equation via heatlets (2008) (19)
- Continuous dependence on modeling for nonlinear ill-posed problems (2009) (16)
- Continuous dependence results for inhomogeneous ill-posed problems in Banach space (2007) (15)
- Relativistic point interactions: Approximation by smooth potentials (1997) (13)
- Finite-rank perturbations of the Dirac operator (1999) (11)
- IMPROVING THE GRADUATE SCHOOL EXPERIENCE FOR WOMEN IN MATHEMATICS: THE EDGE PROGRAM (2004) (8)
- Regularization for a class of ill-posed evolution problems in Banach space (2012) (8)
- Renormalization of the relativistic delta potential in one dimension (1995) (8)
- Relativistic Kronig-Penney-type Hamiltonians (1998) (7)
- Spectral representation of local semigroups (1982) (5)
- Singular perturbations in the interaction representation, II (1980) (5)
- Boundary values of holomorphic semigroups of unbounded operators and similarity of certain perturbations (1978) (5)
- Continuous dependence of solutions for ill-posed evolution problems. (2010) (5)
- Quasi-Affinity in certain Classes of Operators (1987) (4)
- Spectral representations for unbounded operators with real spectrum (1988) (4)
- Unitary Propagators for Time-Dependent Hamiltonians with Singular Potentials (1995) (4)
- Hardy–Landau–Littlewood Inequalities for Fractional Derivatives in Weighted Lp Spaces (1987) (3)
- Smooth approximation of finitely many relativistic point interactions (2005) (2)
- A Version of the Trotter Product Formula for Quadratic‐Form Perturbations (1984) (2)
- The approximation of fractional powers of a closed operator (1980) (2)
- On the Convergence of Unbounded Sequences of Semi-Groups (1977) (2)
- Similarity of Certain Singular Perturbations in Banach Space (1981) (2)
- Smooth approximation of singular perturbations (2003) (2)
- Some examples related to Kato's conjecture (1996) (2)
- On Unbounded Volterra Operators (1984) (1)
- Regularization for a class of ill-posed evolution problems in Banach space (2011) (0)
- A Product Formula for Certain Quadratic form Perturbations (1984) (0)
- Strength in Numbers: Broadening the View of the Mathematics Major (2015) (0)
- On product integration of certain generalized operator-valued functions (1986) (0)
- An EDGE in Mathematics for Women: The Enhancing Diversity in Graduate Education Program (2017) (0)
- Math in the ICU (2003) (0)
- A PARTIAL INTEGRATION FORMULA FOR PRODUCT INTEGRALS OF UNBOUNDED OPERATOR-VALUED FUNCTIONS (1986) (0)
- Norm group convergence for singular Schrödinger operators (1991) (0)
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