Fuzzy Sets and Systems, ISSN 0165-0114, 06/2019, Volume 364, pp. 111 - 123

On a topological space, the inner regularity, outer regularity and regularity of a monotone set-valued measure are considered. Their properties are discussed....

Monotone set-valued measure | Egoroff's Theorem | Regularity | Lusin's Theorem | MATHEMATICS, APPLIED | FUZZY MEASURE | DARBOUX PROPERTY | ATOMS | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS

Monotone set-valued measure | Egoroff's Theorem | Regularity | Lusin's Theorem | MATHEMATICS, APPLIED | FUZZY MEASURE | DARBOUX PROPERTY | ATOMS | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS

Journal Article

Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 03/2018, Volume 35, Issue 2, pp. 327 - 356

This manuscript identifies a maximal system of equations which renders the classical Darboux problem elliptic, thereby providing a selection criterion for its...

Elliptic systems | Optimal transport of symplectic forms | Symplectic decomposition | Darboux theorem for symplectic forms | POLAR FACTORIZATION | MATHEMATICS, APPLIED | TRANSPORT | MAPS | GENERAL BOUNDARY CONDITIONS | VECTOR-VALUED FUNCTIONS

Elliptic systems | Optimal transport of symplectic forms | Symplectic decomposition | Darboux theorem for symplectic forms | POLAR FACTORIZATION | MATHEMATICS, APPLIED | TRANSPORT | MAPS | GENERAL BOUNDARY CONDITIONS | VECTOR-VALUED FUNCTIONS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2019, Volume 472, Issue 1, pp. 584 - 626

It was recently conjectured that every system of exceptional orthogonal polynomials is related to a classical orthogonal polynomial system by a sequence of...

Darboux transformations | Trivial monodromy | Orthogonal polynomials | Sturm–Liouville problems | CHARLIER | MATHEMATICS, APPLIED | HERMITE | EXTENSIONS | SCATTERING-AMPLITUDE | SHAPE INVARIANT POTENTIALS | Sturm-Liouville problems | MATHEMATICS | FAMILIES | MEIXNER | ZEROS

Darboux transformations | Trivial monodromy | Orthogonal polynomials | Sturm–Liouville problems | CHARLIER | MATHEMATICS, APPLIED | HERMITE | EXTENSIONS | SCATTERING-AMPLITUDE | SHAPE INVARIANT POTENTIALS | Sturm-Liouville problems | MATHEMATICS | FAMILIES | MEIXNER | ZEROS

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 01/2017, Volume 111, pp. 1 - 5

A locally conformally symplectic (LCS) form is an almost symplectic form ω such that a closed one-form θ exists with dω=θ∧ω. We present a version of the...

Darboux–Weinstein theorem | Locally conformally symplectic | Lagrangian submanifold | MATHEMATICS, APPLIED | Darboux-Weinstein theorem | PHYSICS, MATHEMATICAL

Darboux–Weinstein theorem | Locally conformally symplectic | Lagrangian submanifold | MATHEMATICS, APPLIED | Darboux-Weinstein theorem | PHYSICS, MATHEMATICAL

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 04/2014, Volume 55, Issue 4, p. 43510

Considering successive extensions of primary translationally shape invariant potentials, we enlarge the Krein-Adler theorem to mixed chains of state adding and...

RATIONAL EXTENSIONS | SUPERSYMMETRY | EXCEPTIONAL ORTHOGONAL POLYNOMIALS | FACTORIZATION METHOD | SCHRODINGER-EQUATION | X-L LAGUERRE | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL | EXACTLY SOLVABLE POTENTIALS | DARBOUX TRANSFORMATIONS | OPERATORS | Theorems | Polynomials | Invariants | Condensed Matter | Materials Science | Physics | POLYNOMIALS | SHAPE | POTENTIALS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | TRANSFORMATIONS

RATIONAL EXTENSIONS | SUPERSYMMETRY | EXCEPTIONAL ORTHOGONAL POLYNOMIALS | FACTORIZATION METHOD | SCHRODINGER-EQUATION | X-L LAGUERRE | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL | EXACTLY SOLVABLE POTENTIALS | DARBOUX TRANSFORMATIONS | OPERATORS | Theorems | Polynomials | Invariants | Condensed Matter | Materials Science | Physics | POLYNOMIALS | SHAPE | POTENTIALS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | TRANSFORMATIONS

Journal Article

Analele Universitatii "Ovidius" Constanta - Seria Matematica, ISSN 1224-1784, 12/2017, Volume 25, Issue 3, pp. 155 - 165

The resolution of the acceleration vector of rigid body moving along a space curve is well known thanks to Siacci [1]. In this resolution, the acceleration...

Secondary 53A17 | Darboux frame | Siacci's theorem | Primary 53A05 | Kinematics | MATHEMATICS | MATHEMATICS, APPLIED

Secondary 53A17 | Darboux frame | Siacci's theorem | Primary 53A05 | Kinematics | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Physics Letters A, ISSN 0375-9601, 05/2014, Volume 378, Issue 26-27, pp. 1755 - 1759

We propose a simple alternative proof of the Wronskian representation formula obtained by Gaillard and Matveev for the trigonometric Darboux–Pöschl–Teller...

WRONSKIAN FORMULA | FACTORIZATION | SUPERSYMMETRY | PHYSICS, MULTIDISCIPLINARY | SCHRODINGER-EQUATION | Rest | Theorems | Proving | Solid state physics | Transformations | Representations | Invariance | Condensed Matter | Materials Science | Physics

WRONSKIAN FORMULA | FACTORIZATION | SUPERSYMMETRY | PHYSICS, MULTIDISCIPLINARY | SCHRODINGER-EQUATION | Rest | Theorems | Proving | Solid state physics | Transformations | Representations | Invariance | Condensed Matter | Materials Science | Physics

Journal Article

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, ISSN 1224-1784, 2017, Volume 25, Issue 3, pp. 155 - 165

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 05/2015, Volume 258, Issue 10, pp. 3535 - 3545

In this article we bound the number of remarkable values of a polynomial vector field. The proof is short and based on Jouanolou's theorem about rational first...

Newton polygon | Rational first integral | Jouanolou's theorem | Remarkable values | Darboux theory of integrability | INTEGRABILITY | 1ST INTEGRALS | RATIONAL FUNCTIONS | DARBOUX THEORY | 2 VARIABLES | PLANE-CURVES | REDUCIBILITY | MATHEMATICS | HYPERSURFACES | POLYNOMIAL VECTOR-FIELDS | SPECTRUM | Mathematics | Nonlinear Sciences | Exactly Solvable and Integrable Systems | Classical Analysis and ODEs

Newton polygon | Rational first integral | Jouanolou's theorem | Remarkable values | Darboux theory of integrability | INTEGRABILITY | 1ST INTEGRALS | RATIONAL FUNCTIONS | DARBOUX THEORY | 2 VARIABLES | PLANE-CURVES | REDUCIBILITY | MATHEMATICS | HYPERSURFACES | POLYNOMIAL VECTOR-FIELDS | SPECTRUM | Mathematics | Nonlinear Sciences | Exactly Solvable and Integrable Systems | Classical Analysis and ODEs

Journal Article

Bernoulli, ISSN 1350-7265, 11/2017, Volume 23, Issue 4B, pp. 3508 - 3536

A general theory which provides asymptotic tail expansions for density, survival, and hazard rate functions is developed for both absolutely continuous and...

Tauberian theory | Ikehara-Wiener theorem | Asymptotic hazard rate | Semi-Markov process | Darboux's theorem | Sparre Andersen model | Ikehara-Delange theorem | Compound distribution | Cramér-Lundberg approximation | First-passage distribution | Cramer-Lundberg approximation | TIMES | STATISTICS & PROBABILITY | compound distribution | MODELS | first-passage distribution | semi-Markov process | SYSTEMS | asymptotic hazard rate

Tauberian theory | Ikehara-Wiener theorem | Asymptotic hazard rate | Semi-Markov process | Darboux's theorem | Sparre Andersen model | Ikehara-Delange theorem | Compound distribution | Cramér-Lundberg approximation | First-passage distribution | Cramer-Lundberg approximation | TIMES | STATISTICS & PROBABILITY | compound distribution | MODELS | first-passage distribution | semi-Markov process | SYSTEMS | asymptotic hazard rate

Journal Article

International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 12/2018, Volume 15, Issue 12

Given an ascending sequence of weak symplectic Banach manifolds on which the Darboux Theorem is true, we can ask about conditions under which the Darboux...

Banach manifolds | direct limit of Banach manifolds | loop space | Moser method | Darboux theorem | weak symplectic forms | LIE-GROUPS | PHYSICS, MATHEMATICAL

Banach manifolds | direct limit of Banach manifolds | loop space | Moser method | Darboux theorem | weak symplectic forms | LIE-GROUPS | PHYSICS, MATHEMATICAL

Journal Article

Lobachevskii Journal of Mathematics, ISSN 1995-0802, 3/2017, Volume 38, Issue 2, pp. 379 - 385

A non-Euclidean analog of the generalized Darboux equation is considered. For the case where its solutions are radial functions of second variable we obtain a...

Geometry | Algebra | Analysis | Lobachevskii plane | Darboux equation | Mathematics, general | Probability Theory and Stochastic Processes | Mathematics | transmutation homeomorphisms | Mathematical Logic and Foundations

Geometry | Algebra | Analysis | Lobachevskii plane | Darboux equation | Mathematics, general | Probability Theory and Stochastic Processes | Mathematics | transmutation homeomorphisms | Mathematical Logic and Foundations

Journal Article

Revista de Matemática: Teoría y Aplicaciones, 01/2017, Volume 24, Issue 1, pp. 97 - 113

In this article we introduce some matrix manipulations that allow us to obtain a version of the original Christoffel-Darboux formula, which is of interest in...

Christoffel-Darboux formula | maximum entropy theorem | multivariate processes

Christoffel-Darboux formula | maximum entropy theorem | multivariate processes

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 368, Issue 1, pp. 374 - 381

Our object is to present an independent proof of the extension of V.A. Markov's theorem to Gâteaux derivatives of arbitrary order for continuous polynomials on...

Polynomial operators | Normed linear spaces | Chebyshev nodes | Christoffel–Darboux identity | Bivariate interpolation | Christoffel-Darboux identity | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | BOUNDS | DERIVATIVES | BERNSTEIN

Polynomial operators | Normed linear spaces | Chebyshev nodes | Christoffel–Darboux identity | Bivariate interpolation | Christoffel-Darboux identity | MATHEMATICS | MATHEMATICS, APPLIED | INEQUALITIES | BOUNDS | DERIVATIVES | BERNSTEIN

Journal Article

Mathematical Notes, ISSN 0001-4346, 5/2014, Volume 95, Issue 5, pp. 760 - 767

The well-known Bonnet theorem claims that, on a Darboux surface in three-dimensional Euclidean space, along each line of curvature, the corresponding principal...

principal curvature | Gaussian curvature | line of curvature | Mathematics, general | Mathematics | Euclidean space | Darboux surface | n-dimensional hypersurface | Darboux tensor | Bonnet theorem

principal curvature | Gaussian curvature | line of curvature | Mathematics, general | Mathematics | Euclidean space | Darboux surface | n-dimensional hypersurface | Darboux tensor | Bonnet theorem

Journal Article

Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, 01/2012, Volume 19, Issue 2, pp. 158 - 181

In this paper we investigate compatible overdetermined systems of PDEs on the plane with one common characteristic. Lie's theorem states that its integration...

system of PDEs | Darboux integrability | integral | Goursat flag | Spencer cohomology | compatibility | characteristic | symbols | Lie's class 1 | OVERDETERMINED SYSTEMS | SYMMETRIES | DIFFERENTIAL-EQUATIONS | PHYSICS, MATHEMATICAL | TRANSFORMATIONS | GEOMETRY

system of PDEs | Darboux integrability | integral | Goursat flag | Spencer cohomology | compatibility | characteristic | symbols | Lie's class 1 | OVERDETERMINED SYSTEMS | SYMMETRIES | DIFFERENTIAL-EQUATIONS | PHYSICS, MATHEMATICAL | TRANSFORMATIONS | GEOMETRY

Journal Article

Mathematica Bohemica, ISSN 0862-7959, 2017, Volume 142, Issue 2, pp. 211 - 224

The aim of the paper is to present some mean value theorems obtained as consequences of the intermediate value property. First, we will prove that any...

Mean value theorem | Integrable function | Geometric mean | Darboux function | Continuous function | Arithmetic mean | Differentiable function | Harmonic mean | harmonic mean | continuous function | integrable function | arithmetic mean | differentiable function | mean value theorem | geometric mean

Mean value theorem | Integrable function | Geometric mean | Darboux function | Continuous function | Arithmetic mean | Differentiable function | Harmonic mean | harmonic mean | continuous function | integrable function | arithmetic mean | differentiable function | mean value theorem | geometric mean

Journal Article

Mathematica Bohemica, ISSN 0862-7959, 2012, Volume 137, Issue 4, pp. 415 - 423

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2005, Volume 179, Issue 1, pp. 157 - 173

Let { ϕ k ( z ) } k = 0 ∞ be the family of orthonormal Laurent polynomials on the unit circle which spans Δ in the “ordering” induced by p ( n ) = E [ ( n + 1...

Three-term recurrence relations | Favard's theorem | Orthogonal Laurent polynomials on the unit circle | Christoffel–Darboux formula | Christoffel-Darboux formula | QUADRATURE | MATHEMATICS, APPLIED | three-term recurrence relations | orthogonal Laurent polynomials on the unit circle

Three-term recurrence relations | Favard's theorem | Orthogonal Laurent polynomials on the unit circle | Christoffel–Darboux formula | Christoffel-Darboux formula | QUADRATURE | MATHEMATICS, APPLIED | three-term recurrence relations | orthogonal Laurent polynomials on the unit circle

Journal Article

Journal of Algebra, ISSN 0021-8693, 05/2020, Volume 550, pp. 242 - 265

Let v=v0¯+v1¯ be a Z2-graded (super) vector space with an even C×-action and χ∈v0¯⁎ be a fixed point of the induced action. In this paper we prove an...

Finite W-superalgebras | Lie superalgebras | Darboux-Weinstein theorem

Finite W-superalgebras | Lie superalgebras | Darboux-Weinstein theorem

Journal Article

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