Journal of Fourier Analysis and Applications, ISSN 1069-5869, 12/2018, Volume 24, Issue 6, pp. 1579 - 1660

Since its invention in 1979 the Feichtinger algebra has become a useful Banach space of functions with applications in time-frequency analysis, the theory of pseudo-differential operators and several other topics...

Schwartzâ€“Bruhat space | Secondary 43-02 | Mathematics | Abstract Harmonic Analysis | Mathematical Methods in Physics | Fourier Analysis | Signal,Image and Speech Processing | Generalized functions | Approximations and Expansions | Feichtinger algebra | Partial Differential Equations | Test functions | Primary 43A15 | LOCALIZATION | MATHEMATICS, APPLIED | TIME-FREQUENCY ANALYSIS | ATOMIC DECOMPOSITION | Schwartz-Bruhat space | PSEUDODIFFERENTIAL-OPERATORS | FOURIER-TRANSFORMS | FRAMES | MODULATION SPACES | WIENERS ALGEBRA | COORBIT SPACES | BANACH GELFAND TRIPLES | Analysis | Algebra

Schwartzâ€“Bruhat space | Secondary 43-02 | Mathematics | Abstract Harmonic Analysis | Mathematical Methods in Physics | Fourier Analysis | Signal,Image and Speech Processing | Generalized functions | Approximations and Expansions | Feichtinger algebra | Partial Differential Equations | Test functions | Primary 43A15 | LOCALIZATION | MATHEMATICS, APPLIED | TIME-FREQUENCY ANALYSIS | ATOMIC DECOMPOSITION | Schwartz-Bruhat space | PSEUDODIFFERENTIAL-OPERATORS | FOURIER-TRANSFORMS | FRAMES | MODULATION SPACES | WIENERS ALGEBRA | COORBIT SPACES | BANACH GELFAND TRIPLES | Analysis | Algebra

Journal Article

Modern Physics Letters A, ISSN 0217-7323, 06/2019, Volume 34, Issue 20, p. 1950160

In this paper, we find the parafermion algebra of order p expressed in terms of bilinear relation (commutator form...

HARMONIC-OSCILLATOR | PARTICLES | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | Parafermion | parasupersymmetry | QUANTIZATION | PHYSICS, MATHEMATICAL | GENERALIZED DEFORMED PARAFERMIONS | PHYSICS, PARTICLES & FIELDS | Algebra

HARMONIC-OSCILLATOR | PARTICLES | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | Parafermion | parasupersymmetry | QUANTIZATION | PHYSICS, MATHEMATICAL | GENERALIZED DEFORMED PARAFERMIONS | PHYSICS, PARTICLES & FIELDS | Algebra

Journal Article

Computer Physics Communications, ISSN 0010-4655, 05/2016, Volume 202, pp. 33 - 112

.... Given these representations, the desired Laurent series expansions in Îµ can be obtained with the help of our computer algebra toolbox...

Mellinâ€“Barnes method | Massive 3-loop integrals in QCD | Almkvistâ€“Zeilberger algorithm | Automation and method of differential equations | Master integrals | Almkvist-Zeilberger algorithm | Mellin-Barnes method | O ALPHA(S) | HEAVY FLAVOR CONTRIBUTIONS | ASYMPTOTIC VALUES Q | PHYSICS, MATHEMATICAL | DEEP-INELASTIC SCATTERING | WILSON COEFFICIENTS | COEFFICIENT FUNCTIONS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | HARMONIC SUMS | MELLIN TRANSFORMS | LINEAR DIFFERENCE-EQUATIONS | STRUCTURE-FUNCTION F-2(X | Algebra | Algorithms | Differential equations

Mellinâ€“Barnes method | Massive 3-loop integrals in QCD | Almkvistâ€“Zeilberger algorithm | Automation and method of differential equations | Master integrals | Almkvist-Zeilberger algorithm | Mellin-Barnes method | O ALPHA(S) | HEAVY FLAVOR CONTRIBUTIONS | ASYMPTOTIC VALUES Q | PHYSICS, MATHEMATICAL | DEEP-INELASTIC SCATTERING | WILSON COEFFICIENTS | COEFFICIENT FUNCTIONS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | HARMONIC SUMS | MELLIN TRANSFORMS | LINEAR DIFFERENCE-EQUATIONS | STRUCTURE-FUNCTION F-2(X | Algebra | Algorithms | Differential equations

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2019, Volume 480, Issue 1, p. 123357

.... Furthermore, we introduce q-SchrÃ¶dinger operators and we give the raising and lowering operator algebra corresponding to these polynomials...

q-orthogonal polynomials | q-deformed algebras | Harmonic oscillators | MATHEMATICS | MATHEMATICS, APPLIED | PARABOSE

q-orthogonal polynomials | q-deformed algebras | Harmonic oscillators | MATHEMATICS | MATHEMATICS, APPLIED | PARABOSE

Journal Article

Annals of Physics, ISSN 0003-4916, 10/2017, Volume 385, pp. 180 - 213

Using a left multiplication defined on a right quaternionic Hilbert space, linear self-adjoint momentum operators on a right quaternionic Hilbert space are...

Quantization | Displacement operator | Lie algebra | Quaternion | Coherent states | PHYSICS, MULTIDISCIPLINARY | QUANTUM-MECHANICS | Algebra | Computer science | HILBERT SPACE | UNCERTAINTY PRINCIPLE | HARMONIC OSCILLATORS | POSITION OPERATORS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | LIE GROUPS

Quantization | Displacement operator | Lie algebra | Quaternion | Coherent states | PHYSICS, MULTIDISCIPLINARY | QUANTUM-MECHANICS | Algebra | Computer science | HILBERT SPACE | UNCERTAINTY PRINCIPLE | HARMONIC OSCILLATORS | POSITION OPERATORS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | LIE GROUPS

Journal Article

Annals of Physics, ISSN 0003-4916, 11/2015, Volume 362, Issue Complete, pp. 24 - 35

In this paper, the deformation of the Heisenberg algebra, consistent with both the generalized uncertainty principle and doubly special relativity, has been analyzed...

Path integral | GUP and DSR | Deformed Heisenbergâ€™s algebra | Deformed Heisenberg's algebra | ACCELERATING UNIVERSE | SPACE | TEMPERATURE | PARTICLES | PHYSICS, MULTIDISCIPLINARY | GENERALIZED UNCERTAINTY PRINCIPLE | PLANCK-SCALE PHYSICS | SUPERNOVAE | QUANTUM-GRAVITY | Algebra | Harmonic analysis | Quantum physics | Physics - High Energy Physics - Theory | UNCERTAINTY PRINCIPLE | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | HAMILTONIANS | ONE-DIMENSIONAL CALCULATIONS | PATH INTEGRALS | RELATIVITY THEORY | QUANTIZATION | QUANTUM MECHANICS | PROPAGATOR

Path integral | GUP and DSR | Deformed Heisenbergâ€™s algebra | Deformed Heisenberg's algebra | ACCELERATING UNIVERSE | SPACE | TEMPERATURE | PARTICLES | PHYSICS, MULTIDISCIPLINARY | GENERALIZED UNCERTAINTY PRINCIPLE | PLANCK-SCALE PHYSICS | SUPERNOVAE | QUANTUM-GRAVITY | Algebra | Harmonic analysis | Quantum physics | Physics - High Energy Physics - Theory | UNCERTAINTY PRINCIPLE | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | HAMILTONIANS | ONE-DIMENSIONAL CALCULATIONS | PATH INTEGRALS | RELATIVITY THEORY | QUANTIZATION | QUANTUM MECHANICS | PROPAGATOR

Journal Article

1971, Lecture notes in mathematics, ISBN 0387056513, Volume 231, ix, 112, [1]

Book

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 12/2012, Volume 86, Issue 6

...) and suggest the existence of a fundamental minimal length which, as was established, can be obtained within the deformed Heisenberg algebra...

SPACE | UNCERTAINTY | POSITION | OPTICS | HARMONIC-OSCILLATOR | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL

SPACE | UNCERTAINTY | POSITION | OPTICS | HARMONIC-OSCILLATOR | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL

Journal Article

Modern Physics Letters A, ISSN 0217-7323, 03/2014, Volume 29, Issue 9, p. 1450045

A one-parameter generalized fermion algebra â„¬Îº(1) is introduced. The Fock representation is studied...

Calogero-Sutherland system | Generalized fermion algebra | coherent states | DEFORMED OSCILLATOR | HARMONIC-OSCILLATOR | ASTRONOMY & ASTROPHYSICS | SUPERSYMMETRIC QUANTUM-MECHANICS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS | Algebra

Calogero-Sutherland system | Generalized fermion algebra | coherent states | DEFORMED OSCILLATOR | HARMONIC-OSCILLATOR | ASTRONOMY & ASTROPHYSICS | SUPERSYMMETRIC QUANTUM-MECHANICS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS | Algebra

Journal Article

10.
Full Text
Tensor Algebra and Multidimensional Harmonic Retrieval in Signal Processing for MIMO Radar

IEEE Transactions on Signal Processing, ISSN 1053-587X, 11/2010, Volume 58, Issue 11, pp. 5693 - 5705

.... Our aim in this article is to showcase the potential of tensor algebra and multidimensional harmonic retrieval (HR...

localization | multiple-input multiple-output (MIMO) radar | Multidimensional signal processing | Multidimensional systems | Doppler shift | Tensile stress | Algebra | DoA-DoD estimation | Radar detection | Radar imaging | harmonic retrieval | Radar signal processing | MIMO | Doppler radar | tensor decomposition | PARAMETER-ESTIMATION | CANDECOMP/PARAFAC | ARRAYS | UNIQUENESS | ENGINEERING, ELECTRICAL & ELECTRONIC | SPACE | DECOMPOSITIONS | FREQUENCY ESTIMATION | Harmonic functions | Signal processing | Usage | Imaging systems | Innovations | MIMO communications | Digital signal processors | Radar | Retrieval | Harmonics | Tensors | Algorithms | Mathematical analysis | Arrays

localization | multiple-input multiple-output (MIMO) radar | Multidimensional signal processing | Multidimensional systems | Doppler shift | Tensile stress | Algebra | DoA-DoD estimation | Radar detection | Radar imaging | harmonic retrieval | Radar signal processing | MIMO | Doppler radar | tensor decomposition | PARAMETER-ESTIMATION | CANDECOMP/PARAFAC | ARRAYS | UNIQUENESS | ENGINEERING, ELECTRICAL & ELECTRONIC | SPACE | DECOMPOSITIONS | FREQUENCY ESTIMATION | Harmonic functions | Signal processing | Usage | Imaging systems | Innovations | MIMO communications | Digital signal processors | Radar | Retrieval | Harmonics | Tensors | Algorithms | Mathematical analysis | Arrays

Journal Article

Annals of Physics, ISSN 0003-4916, 11/2015, Volume 362, pp. 659 - 670

A one-parameter generalized Wignerâ€“Heisenberg algebra (WHA) is reviewed in detail...

Pseudo harmonic oscillator | Sub-Poissonian statistics | Calogeroâ€“Sutherland model | Pseudo Gaussian oscillator | Wigner cat states | Squeezing effect | Calogero-Sutherland model | NONCLASSICAL PROPERTIES | HARMONIC-OSCILLATOR | PHYSICS, MULTIDISCIPLINARY | SINGULAR OSCILLATOR | GENERALIZED COHERENT STATES | FOCK SPACE | BODY CALOGERO PROBLEM | SQUEEZED STATES | SYSTEMS | 3-BODY PROBLEM | EVEN | Algebra | Harmonic analysis | Deformation | Schrodinger equation | Physics | Oscillators

Pseudo harmonic oscillator | Sub-Poissonian statistics | Calogeroâ€“Sutherland model | Pseudo Gaussian oscillator | Wigner cat states | Squeezing effect | Calogero-Sutherland model | NONCLASSICAL PROPERTIES | HARMONIC-OSCILLATOR | PHYSICS, MULTIDISCIPLINARY | SINGULAR OSCILLATOR | GENERALIZED COHERENT STATES | FOCK SPACE | BODY CALOGERO PROBLEM | SQUEEZED STATES | SYSTEMS | 3-BODY PROBLEM | EVEN | Algebra | Harmonic analysis | Deformation | Schrodinger equation | Physics | Oscillators

Journal Article

1991, ISBN 0521400961, Volume 41., xi, 219

Book

Journal of High Energy Physics, ISSN 1126-6708, 2/2018, Volume 2018, Issue 2, pp. 1 - 40

Four-dimensional N $$ \mathcal{N} $$ = 2 superconformal quantum field theories contain a subsector carrying the structure of a chiral algebra...

Conformal Field Theory | Supersymmetric Gauge Theory | Extended Supersymmetry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | DIMENSIONS | GAUGE-THEORIES | MONOPOLE HARMONICS | ELLIPTIC GENERA | PHYSICS, PARTICLES & FIELDS | Algebra | Supersymmetry | Localization | Surface defects | Quantum theory | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | conformal field theory | supersymmetric gauge theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | supersymmetry and duality | extended supersymmetry

Conformal Field Theory | Supersymmetric Gauge Theory | Extended Supersymmetry | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | DIMENSIONS | GAUGE-THEORIES | MONOPOLE HARMONICS | ELLIPTIC GENERA | PHYSICS, PARTICLES & FIELDS | Algebra | Supersymmetry | Localization | Surface defects | Quantum theory | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | conformal field theory | supersymmetric gauge theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | supersymmetry and duality | extended supersymmetry

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 01/2019, Volume 60, Issue 1, p. 11701

The Racah algebra and its higher rank extension are the algebras underlying the univariate and multivariate Racah polynomials...

COHERENT STATES | HAHN POLYNOMIALS | HARMONICS | ADDITION THEOREM | PHYSICS, MATHEMATICAL | SUPERINTEGRABLE SYSTEM | Operators (mathematics) | Polynomials | Algebra | Basis functions | Differential equations

COHERENT STATES | HAHN POLYNOMIALS | HARMONICS | ADDITION THEOREM | PHYSICS, MATHEMATICAL | SUPERINTEGRABLE SYSTEM | Operators (mathematics) | Polynomials | Algebra | Basis functions | Differential equations

Journal Article

15.
Full Text
Effect of the Wignerâ€“Dunkl algebra on the Dirac equation and Dirac harmonic oscillator

Modern Physics Letters A, ISSN 0217-7323, 08/2018, Volume 33, Issue 25, p. 1850146

In this work, we study the Dirac equation and Dirac harmonic oscillator in one-dimensional via the Dunkl algebra...

Wigner-Dunkl algebra | the Dirac equation | the reflection symmetry | Dirac harmonic oscillator | Q-ANALOG | REFLECTION GROUPS | QUANTUM | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | NUCLEI | ASTRONOMY & ASTROPHYSICS | OPERATORS | PHYSICS, PARTICLES & FIELDS

Wigner-Dunkl algebra | the Dirac equation | the reflection symmetry | Dirac harmonic oscillator | Q-ANALOG | REFLECTION GROUPS | QUANTUM | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | NUCLEI | ASTRONOMY & ASTROPHYSICS | OPERATORS | PHYSICS, PARTICLES & FIELDS

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 11/2019, Volume 34, Issue 31, p. 1950196

.... Such relations help us achieve the generalized s l ( 2 ) algebra and some suitable results for describing the above-mentioned symmetry...

generalized sl algebra | three-dimensional harmonic oscillator | RN black hole | QUANTUM | PHYSICS, NUCLEAR | Heun equation | RADIATION | EQUATION | PHYSICS, PARTICLES & FIELDS

generalized sl algebra | three-dimensional harmonic oscillator | RN black hole | QUANTUM | PHYSICS, NUCLEAR | Heun equation | RADIATION | EQUATION | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal d'Analyse MathÃ©matique, ISSN 0021-7670, 10/2017, Volume 133, Issue 1, pp. 51 - 69

We present necessary and sufficient conditions on planar compacta K and continuous functions f on K in order that f generate the algebras P(K), R(K), A(K) or C(K...

Abstract Harmonic Analysis | Mathematics | Functional Analysis | Dynamical Systems and Ergodic Theory | Analysis | Partial Differential Equations | MATHEMATICS | Algebra | Polynomials | Logarithms | Mathematical analysis | Continuity (mathematics)

Abstract Harmonic Analysis | Mathematics | Functional Analysis | Dynamical Systems and Ergodic Theory | Analysis | Partial Differential Equations | MATHEMATICS | Algebra | Polynomials | Logarithms | Mathematical analysis | Continuity (mathematics)

Journal Article

Journal of Algebra and its Applications, ISSN 0219-4988, 09/2018, Volume 17, Issue 9

Let A and A be Banach algebras such that A is a Banach A-bimodule with compatible actions...

Banach module | extensions | multiplier | (cyclic) derivation | Banach algebras | topological center | (maximal) ideals | MATHEMATICS, APPLIED | AMENABILITY | WEAK | MATHEMATICS | IDEAL | DUALS | MODULES | PRODUCTS | HARMONIC-ANALYSIS | RING

Banach module | extensions | multiplier | (cyclic) derivation | Banach algebras | topological center | (maximal) ideals | MATHEMATICS, APPLIED | AMENABILITY | WEAK | MATHEMATICS | IDEAL | DUALS | MODULES | PRODUCTS | HARMONIC-ANALYSIS | RING

Journal Article

Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 11/2017, Volume 2017, Issue 11, p. 113104

Results obtained in the past for free boson systems at zero and nonzero temperatures are revisited to clarify the physical meaning of current algebra reducible functionals which are associated...

Hubbard and related model | algebraic structures of integrable models | CONFIGURATION-SPACE | MECHANICS | REPRESENTATIONS | FIELD-THEORY | MANY-BODY PROBLEM | HARMONIC-ANALYSIS | HAMILTONIANS | PHYSICS, MATHEMATICAL | GEOMETRY

Hubbard and related model | algebraic structures of integrable models | CONFIGURATION-SPACE | MECHANICS | REPRESENTATIONS | FIELD-THEORY | MANY-BODY PROBLEM | HARMONIC-ANALYSIS | HAMILTONIANS | PHYSICS, MATHEMATICAL | GEOMETRY

Journal Article