- General expansion of natural power of linear combination of Bosonic operators in normal order
2023/05/29 by Deepak Deepak, Deepak, Arpita Chatterjee +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Annihilation #Approximation property #Binomial theorem #Boson #Creation and annihilation operators #Discrete mathematics #FOS: Physical sciences #Linear map #Mathematical analysis #Mathematics #Nuclear operator #Operator (biology) #Operator norm #Operator theory #Physics #Power series #Pure mathematics #Quantum #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum mechanics #Statistical Mechanics and Entropy
- Hermite Functions and Fourier Series
2021/05/11 by E. Celeghini, M. Gadella, M. A. del Olmo · 1 citation
Physics and Astronomy · Mathematics · #Quantum Mechanics and Non-Hermitian Physics #Mathematical Analysis and Transform Methods #Algebraic and Geometric Analysis #Orthonormal basis #Mathematics #Hilbert space #Hermite polynomials #Square-integrable function #Fourier series #Fourier transform #Pure mathematics #Unit circle #Operator (biology) #Unitary state #Operator theory #Series (stratigraphy) #Discrete Fourier transform (general) #Space (punctuation) #Mathematical analysis #Fractional Fourier transform #Fourier analysis #Physics #Quantum mechanics
- A new modification of Gamma operators with a better error estimation
2020/07/13 by Fuat Usta, Ömür Betus · 1 citation
Mathematics · #Algebra over a field #Applied mathematics #Approximation Theory and Sequence Spaces #Computer science #Context (archaeology) #Convergence (economics) #Iterative Methods for Nonlinear Equations #Key (lock) #Mathematical Approximation and Integration #Mathematics #Operator theory #Pure mathematics #Rate of convergence
- Norm-parallelism and the Davis–Wielandt radius of Hilbert space operators
2018/07/26 by Ali Zamani, Mohammad Sal Moslehian, Mao-Ting Chien +1 · 1 citation
Computer Science · Mathematics · #Bounded function #Bounded operator #Hilbert space #Holomorphic and Operator Theory #Mathematical Inequalities and Applications #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Norm (philosophy) #Operator (biology) #Operator norm #Operator theory #Pure mathematics
- Approximation of functions by a new family of generalized Bernstein operators
2017/01/05 by Xiaoyan Chen, Jieqing Tan, Liu Zhi +2 · 1 citation
Mathematics · #Applied mathematics #Approximation Theory and Sequence Spaces #Baskakov operator #Bernstein polynomial #Brouwer fixed-point theorem #Convex function #Danskin's theorem #Fixed-point theorem #Fourier integral operator #Generalization #Interpolation (computer graphics) #Iterative Methods for Nonlinear Equations #Mathematical Approximation and Integration #Mathematical analysis #Mathematical proof #Mathematics #Microlocal analysis #Modulus of continuity #Monotonic function #Operator (biology) #Operator theory #Pure mathematics #Rate of convergence #Regular polygon #Shift theorem #Type (biology)
- The Berry–Keating operator on L2(\mathbb R_\gt,\rm dx) and on compact quantum graphs with general self-adjoint realizations
2009/12/31 by Sebastian Endres, Frank Steiner · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Compact operator #Compact operator on Hilbert space #Eigenvalues and eigenvectors #Hilbert space #Mathematical Analysis and Transform Methods #Operator (biology) #Operator theory #Quantization (signal processing) #Quantum graph #Spectral Theory in Mathematical Physics #Spectral theory #Spectrum (functional analysis) #math-ph #math.MP #msc:81Q35
- New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory
2008/12/14 by Andrei K. Lerner, Sheldy Ombrosi, Carlos Pérez +3 · 46 citations
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Banach space #Differential Equations and Boundary Problems #Discrete mathematics #Fourier integral operator #Hardy space #Lebesgue integration #Lp space #Mathematical analysis #Mathematics #Maximal function #Maximal operator #Multilinear map #Norm (philosophy) #Operator (biology) #Operator theory #Product (mathematics) #Pure mathematics #Singular integral operators #Type (biology)
- Some Aspects of the Invariant Subspace Problem
2001/01/01 by R Enflo, Victor Lomonosov · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #Algebra over a field #Banach space #Centralizer and normalizer #Combinatorics #Compact operator #Computer science #Discrete mathematics #Finite-rank operator #Holomorphic and Operator Theory #Invariant (physics) #Invariant subspace #Invariant subspace problem #Linear subspace #Mathematics #Operator (biology) #Operator algebra #Operator norm #Operator theory #Pure mathematics #Reflexive operator algebra #Transitive relation #Unbounded operator
- Composition operators between Bergman and Hardy spaces
1996/01/01 by Wayne Smith · 8 citations
Mathematics · #Algebra over a field #Algebraic and Geometric Analysis #Banach space #Bergman kernel #Bergman space #Bounded function #Composition (language) #Composition operator #Finite-rank operator #Hardy space #Holomorphic and Operator Theory #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Operator theory #Pure mathematics
- The inverse spectral problem for self-adjoint Hankel operators
1995/01/01 by A. V. Megretskii, V. V. Peller, S. R. Treil +1 · 9 citations
Decision Sciences · Mathematics · Physics and Astronomy · #Algebra over a field #Applied mathematics #Bessel function #Bounded function #Hankel matrix #Hankel transform #Hilbert space #Inverse problem #Linear operators #Mathematical analysis #Mathematics #Model Reduction and Neural Networks #Moduli #Numerical methods in inverse problems #Operator theory #Probabilistic and Robust Engineering Design #Pure mathematics #Spectral theorem #Spectral theory
- Elliptic theory of differential edge operators I
1991/01/01 by Rafe Mazzeo · 3 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Asymptotic expansion #Constant coefficients #Differential operator #Elliptic operator #Enhanced Data Rates for GSM Evolution #Fredholm integral equation #Fredholm theory #Integral equation #Kernel (algebra) #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Operator (biology) #Operator theory #Parametrix #Pure mathematics #Semi-elliptic operator #Spectral Theory in Mathematical Physics
- Heat Kernels and Spectral Theory
1989/02/16 by E. B. Davies · 6 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #advanced mathematical theories #Heat kernel #Heat equation #Mathematics #Laplace transform #Differential operator #Spectral geometry #Elliptic operator #Spectral theory #Euclidean geometry #Brownian motion #Microlocal analysis #Mathematical analysis #Variable (mathematics) #Operator theory #Fourier integral operator #Hilbert space
- The Essential Norm of a Composition Operator
1987/03/01 by Joel H. Shapiro · 25 citations
Computer Science · Mathematics · #Algebra over a field #Algebraic and Geometric Analysis #Composition (language) #Composition operator #Hilbert space #Holomorphic and Operator Theory #Linguistics #Mathematics #Matrix Theory and Algorithms #Multiplication operator #Norm (philosophy) #Operator norm #Operator theory #Pure mathematics
- A short proof of the local Atiyah-Singer index theorem
1986/01/01 by Ezra Getzler · 2 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Atiyah–Singer index theorem #Clifford analysis #Dirac (video compression format) #Dirac operator #Elementary proof #Homotopy and Cohomology in Algebraic Topology #Mathematics #Operator (biology) #Operator theory #Philosophy #Physics #Pure mathematics #Quantum mechanics #Riemann hypothesis #Simple (philosophy)
- Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
1983/06/01 by Ezra Getzler · 4 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic and Geometric Analysis #Atiyah–Singer index theorem #Clifford algebra #Clifford analysis #Dirac (video compression format) #Dirac operator #Index (typography) #Manifold (fluid mechanics) #Mathematics #Noncommutative and Quantum Gravity Theories #Operator theory #Physics #Pseudodifferential operators #Pure mathematics #Quantization (signal processing) #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Supermanifold
- A bounded operator approach to Tomita-Takesaki theory
1977/03/01 by Marc A. Rieffel, Alfons Van Daele · 1 citation
Mathematics · #Holomorphic and Operator Theory #Advanced Operator Algebra Research #Advanced Harmonic Analysis Research #Mathematics #Bounded function #Subspace topology #Operator (biology) #Pure mathematics #Operator theory #Characterization (materials science) #Algebra over a field #Mathematical analysis
- Fourier integral operators with complex-valued phase functions
1975/01/01 by Anders Melin, Johannes Sjöstrand · 2 citations
Mathematics · #Differential Equations and Boundary Problems #Fourier analysis #Fourier integral operator #Fourier inversion theorem #Fourier transform #Fractional Fourier transform #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Operator theory #Phase (matter) #Pure mathematics #advanced mathematical theories
- Fourier integral operators. II
1972/01/01 by J. J. Duistermaat, Lars Hörmander, L. Hörmander · 28 citations
Engineering · Mathematics · #Algebraic and Geometric Analysis #Differential Equations and Boundary Problems #Elasticity and Wave Propagation #Fourier analysis #Fourier integral operator #Fourier inversion theorem #Fourier transform #Fractional Fourier transform #Mathematical analysis #Mathematics #Operator theory