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mathematics (38) 38
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mathematical analysis (11) 11
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frames (6) 6
harmonic analysis (6) 6
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mathematical theorems (6) 6
approximations and expansions (5) 5
interpolation (5) 5
reconstruction (5) 5
variational splines (5) 5
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approximation (4) 4
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computer mathematics (4) 4
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entire functions of exponential type (4) 4
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eigenvalues (3) 3
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functional analysis (3) 3
geometry (3) 3
global analysis and analysis on manifolds (3) 3
kernels (3) 3
laplace operator (3) 3
mathematical methods in physics (3) 3
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multiresolution analysis (3) 3
nonlinear dynamics (3) 3
paley-wiener spaces (3) 3
physics (3) 3
plancherel-polya inequalities (3) 3
plancherel–polya inequalities (3) 3
quantum graphs (3) 3
sampling (3) 3
signal, image and speech processing (3) 3
05c99 (2) 2
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hilbert spaces (2) 2
integers (2) 2
integral transforms, operational calculus (2) 2
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1. Full Text Bernstein–Nikolskii inequalities and Riesz interpolation formula on compact homogeneous manifolds
by Pesenson, Isaac
Journal of approximation theory, ISSN 0021-9045, 2008, Volume 150, Issue 2, pp. 175 - 198
Laplace operator | Compact homogeneous manifold | Eigenfunctions | Polynomials | Bernstein–Nikolskii inequalities | Riesz interpolation formula | Bernstein-Nikolskii inequalities | Physical Sciences | Mathematics | Science & Technology
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2. Full Text Removable sets and approximation of eigenvalues and eigenfunctions on combinatorial graphs
by Pesenson, Isaac
Applied and computational harmonic analysis, ISSN 1063-5203, 2010, Volume 29, Issue 2, pp. 123 - 133
Eigenvalue | Eigenfunction | Rayleigh–Ritz method | Combinatorial Laplace operator | Variational splines | Rayleigh-Ritz method | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Image processing | Graphics software | Equipment and supplies | Approximation | Mathematical analysis | Splines | Eigenvalues | Eigenfunctions | Graphs | Matrices | Combinatorial analysis
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3. Full Text Variational Splines and Paley–Wiener Spaces on Combinatorial Graphs
by Pesenson, Isaac and Pesenson, Isaac
Constructive approximation, ISSN 0176-4276, 2/2009, Volume 29, Issue 1, pp. 1 - 21
Reconstruction | Approximation | 05C99 | Mathematics | Paley–Wiener spaces | Combinatorial Laplace operator | Variational splines | Interpolation | 42C99 | Analysis | Numerical Analysis | Combinatorial graph | 41A15 | 94A12 | 94A20 | Paley-Wiener spaces | Physical Sciences | Science & Technology | Algorithms
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4. Full Text Band-Limited Localized Parseval Frames and Besov Spaces on Compact Homogeneous Manifolds
by Geller, Daryl and Geller, Daryl and Pesenson, Isaac Z and Pesenson, Isaac Z
Journal of Geometric Analysis, ISSN 1050-6926, 4/2011, Volume 21, Issue 2, pp. 334 - 371
Laplace operator | Eigenfunctions | Mathematics | 43A85 | Abstract Harmonic Analysis | Wavelets | Fourier Analysis | 42C40 | Convex and Discrete Geometry | 41A10 | Global Analysis and Analysis on Manifolds | Compact homogeneous manifold | Dynamical Systems and Ergodic Theory | Differential Geometry | 41A17 | Physical Sciences | Science & Technology | Weather | Analysis
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5. Full Text Average sampling and space-frequency localized frames on bounded domains
by Pesenson, Isaac Z
Journal of Complexity, ISSN 0885-064X, 10/2015, Volume 31, Issue 5, pp. 675 - 688
Frames | Eigenfunctions | Second-order differential operators | Average sampling | Dirichlet boundary conditions | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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6. Full Text Sampling in Paley-Wiener spaces on combinatorial graphs
by Isaac Pesenson
Transactions of the American Mathematical Society, ISSN 0002-9947, 10/2008, Volume 360, Issue 10, pp. 5603 - 5627
Mathematical theorems | Entire functions | Uniqueness | Eigenvalues | Eigenfunctions | Mathematical functions | Laplace transformation | Mathematical inequalities | Vertices | Combinatorial laplace operator | Discrete Plancherel-Polya and Poincare inequalities | Shannon sampling | Combinatorial graph | Discrete Paley-Wiener spaces | Physical Sciences | Mathematics | Science & Technology | Measure and integration | Combinatorics. Ordered structures | Mathematical analysis | Exact sciences and technology | Graph theory | Functional analysis | Combinatorics | Sciences and techniques of general use | Order, lattices, ordered algebraic structures
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7. Full Text Plancherel–Polya-type inequalities for entire functions of exponential type in L p ( R d )
by Pesenson, Isaac
Journal of mathematical analysis and applications, ISSN 0022-247X, 2007, Volume 330, Issue 2, pp. 1194 - 1206
Entire functions of exponential type | Frames | Plancherel–Polya inequality | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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8. Full Text Plancherel-Polya-type inequalities for entire functions of exponential type in Lp (Rd)
by Pesenson, Isaac
Journal of mathematical analysis and applications, ISSN 0022-247X, 06/2007, Volume 330, Issue 2, pp. 1194 - 1206
Plancherel-Polya inequality | Entire functions of exponential type | Frames | Mathematics | Special functions | Functions of a complex variable | Mathematical analysis | Exact sciences and technology | Sciences and techniques of general use
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9. Full Text Parseval Space-Frequency Localized Frames on Sub-Riemannian Compact Homogeneous Manifolds
by Pesenson, Isaac
06/2017, Applied and Numerical Harmonic Analysis, ISBN 9783319555492, Issue 9783319555492
Localize Frame | Vector Field | Besov Space | Sobolev Space | Tangent Space | Localize frame | Tangent space | Sobolev space | Besov space | Vector field
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10. Full Text Harmonic Analysis Methods for Function Spaces, Differential Equations and Data Science
by Pesenson, Isaac
08/2017, Applied and Numerical Harmonic Analysis, ISBN 9783319555553, Issue 9783319555553
Needlets | Persistent Homology | Core Chapters | Zaremba Problem | Graph Groupoid
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11. Full Text Frames: Theory and Practice
by Pesenson, Isaac
06/2017, Applied and Numerical Harmonic Analysis, ISBN 9783319555492, Issue 9783319555492
Tight Frame | Localize Frame | Multiresolution Analysis | Cubature Formula | Bergman Space | Bergman space | Cubature formula | Localize frame | Tight frame | Multiresolution analysis
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12. Full Text Geometric Space–Frequency Analysis on Manifolds
by Feichtinger, Hans G and Führ, Hartmut and Pesenson, Isaac Z
The Journal of fourier analysis and applications, ISSN 1069-5869, 12/2016, Volume 22, Issue 6, pp. 1294 - 1355
Abstract Harmonic Analysis | Mathematical Methods in Physics | Fourier Analysis | Signal,Image and Speech Processing | Approximations and Expansions | Mathematics | Partial Differential Equations | Physical Sciences | Mathematics, Applied | Science & Technology | Frames | Theorems | Decay rate | Function space | Topological manifolds | Norms | Manifolds (mathematics) | Operators (mathematics) | Kernels | Riemann manifold | Mathematical analysis | Construction methods | Differential equations | Eigenvectors | Vectors (mathematics) | Curvature
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13. Full Text Paley-Wiener Approximations and Multiscale Approximations in Sobolev and Besov Spaces on Manifolds
by Pesenson, Isaac
The Journal of geometric analysis, ISSN 1050-6926, 4/2009, Volume 19, Issue 2, pp. 390 - 419
Sobolev and Besov spaces | Paley-Wiener functions on Riemannian manifolds | Bernstein inequality | Mathematics | Sampling of non-bandlimited functions | 43A85 | Discrete spectral Fourier transform | Abstract Harmonic Analysis | Fourier Analysis | Convex and Discrete Geometry | Schrodinger semigroup | 41A65 | 46C99 | Global Analysis and Analysis on Manifolds | Quadrature formulas on manifolds | Dynamical Systems and Ergodic Theory | Differential Geometry | Multiscale approximations | 42C05 | 41A17 | Physical Sciences | Science & Technology | Image processing | Graphics software | Equipment and supplies
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14. Full Text KOLMOGOROV AND LINEAR WIDTHS OF BALLS IN SOBOLEV SPACES ON COMPACT MANIFOLDS
by DARYL GELLER and ISAAC Z. PESENSON
Mathematica scandinavica, ISSN 0025-5521, 1/2014, Volume 115, Issue 1, pp. 96 - 122
Integers | Interpolation | Riemann manifold | Mathematical theorems | Algebra | Differential operators | Lie groups | Eigenfunctions | Sobolev spaces | Coefficients | Physical Sciences | Mathematics | Science & Technology
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15. Full Text Poincaré and plancherel-polya inequalities in harmonic analysis on weighted combinatorial graphs
by Führ, Hartmut and Pesenson, Isaac Z
SIAM journal on discrete mathematics, ISSN 0895-4801, 2013, Volume 27, Issue 4, pp. 2007 - 2028
Paley-Wiener spaces | Poincaré- and Plancherel-Polya-type inequalities on weighted graphs | Shannon sampling on graphs | Hilbert frames | Combinatorial Laplace operator | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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16. Full Text Bernstein-Nikolskii and Plancherel-Polya inequalities in L p-norms on non-compact symmetric spaces
by Pesenson, Isaac
Mathematische Nachrichten, ISSN 0025-584X, 02/2009, Volume 282, Issue 2, pp. 253 - 269
Entire functions of exponential type | Non-compact symmetric space | Bernstein-Nikolskii and plancherel-polya inequalities | Laplace-Beltrami operator | Physical Sciences | Mathematics | Science & Technology
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17. Full Text Sampling, Filtering and Sparse Approximations on Combinatorial Graphs
by Pesenson, Isaac Z and Pesenson, Meyer Z
The Journal of fourier analysis and applications, ISSN 1069-5869, 12/2010, Volume 16, Issue 6, pp. 921 - 942
05C99 | Signal, Image and Speech Processing | Poincare and Plancherel-Polya inequalities | Mathematics | Combinatorial Laplace operator | Abstract Harmonic Analysis | 42C99 | Mathematical Methods in Physics | Fourier Analysis | Sparse approximations | Schrödinger Semigroup | Hilbert frames | Approximations and Expansions | Paley-Wiener spaces | 94A12 | Best approximations | Modulus of continuity | Partial Differential Equations | 94A20 | Physical Sciences | Mathematics, Applied | Science & Technology | Image processing | Graphics software | Equipment and supplies
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18. Full Text Plancherel–Polya-type inequalities for entire functions of exponential type in
by Pesenson, Isaac
Journal of mathematical analysis and applications, ISSN 0022-247X, 06/2007, Volume 330, Issue 2, pp. 1194 - 1206
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