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Keyword

inner functions

Description: Analytic functions on the unit disk whose boundary values have modulus one almost everywhere, studied in complex analysis and function spaces.
OpenAlex ID: keywords/inner-functions
An Introduction to Infinite Ergodic Theory
1997 · Jon Aaronson · Mathematical surveys and monographs · 748
On a Constructive Proof of Kolmogorov’s Superposition Theorem
2009 · Jürgen Braun, Michael Griebel · Constructive Approximation · 270
Cyclic vectors and invariant subspaces for the backward shift operator
1970 · R. G. Douglas, H. S. Shapiro, et al. · Annales de l’institut Fourier · 265
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Composition Operators
1968 · Eric A. Nordgren · Canadian Journal of Mathematics · 216
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Function theory on the unit circle
1978 · Donald Sarason · Virginia Polytechnic Institute and State University eBooks · 159
Treatise on the Shift Operator: Spectral Function Theory
1986 · Н. К. Никольский, Н. К. Никольский · CERN Document Server (European Organization for Nuclear Research) · 158
On the weighted sensitivity minimization problem for delay systems
1987 · Kemin Zhou, Pramod P Khargonekar · Systems & Control Letters · 123
Invariant Subspaces and Nevanlinna–Pick Kernels
2000 · Scott McCullough, Tavan T. Trent · Journal of Functional Analysis · 120
A remark on the Volterra operator
1965 · Donald Sarason · Journal of Mathematical Analysis and Applications · 114
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On inner functions with $H^p$-derivative.
1974 · P. R. Ahern, D. N. Clark · The Michigan Mathematical Journal · 99
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Schur's Algorithm, Orthogonal Polynomials, and Convergence of Wall's Continued Fractions in L2( )
2001 · Sergei Khrushchev · Journal of Approximation Theory · 97
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Carleson measures for functions orthogonal to invariant subspaces
1982 · William Cohn · Pacific Journal of Mathematics · 96
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Approximation by inner functions
1969 · Ronald Douglas, Walter Rudin · Pacific Journal of Mathematics · 94
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On functions orthogonal to invariant subspaces
1970 · P. R. Ahern, D. N. Clark · Acta Mathematica · 90
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Multiplication invariant subspaces of the Bergman space
2002 · Brent J. Carswell, Peter L. Duren, et al. · Indiana University Mathematics Journal · 88
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A corona theorem for countably many functions
1980 · Marvin Rosenblum · Integral Equations and Operator Theory · 88
Some Explicit Formulae for the Singular Values of Certain Hankel Operators with Factorizable Symbol
1988 · Ciprian Foias, Allen Tannenbaum, et al. · SIAM Journal on Mathematical Analysis · 86
OPUC on one foot
2005 · Barry Simon · Bulletin of the American Mathematical Society · 85
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Invariant subspaces in the polydisk
1986 · Om Agrawal, Douglas Clark, et al. · Pacific Journal of Mathematics · 85
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The validity of Beurling theorems in polydiscs
1988 · V. Mandrekar · Proceedings of the American Mathematical Society · 82
Robust stabilization in the gap metric: controller design for distributed plants
1992 · T.T. Georgiou, M.C. Smith · IEEE Transactions on Automatic Control · 79
The Commutant of Analytic Toeplitz Operators
1973 · James A. Deddens, Tin Kin Wong · Transactions of the American Mathematical Society · 77
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Mapping B n into B 2n-1
2001 · Xiaojun Huang, Shanyu Ji · Inventiones mathematicae · 73
Generalized interpolation in 𝐻^{∞} with a complexity constraint
2004 · Christopher Byrnes, Tryphon Georgiou, et al. · Transactions of the American Mathematical Society · 71
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The kernel of a Toeplitz operator
1986 · Eric Hayashi · Integral Equations and Operator Theory · 68
Works count: 1,178
Citation count: 10,240
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