Annals of mathematics, ISSN 0003-486X, 9/2010, Volume 172, Issue 2, pp. 1407 - 1434

.... This implies multiplicity at most one for restrictions from GL(n + 1) to GL(n). Similar theorems are obtained for orthogonal or unitary groups.

Algebra | Mathematical theorems | Topological theorems | Adjoints | Homeomorphism | Fourier transformations | Polynomials | Vector spaces | Topological spaces | MATHEMATICS | SHINTANI FUNCTIONS | REPRESENTATIONS | GL(N) | ORTHOGONAL GROUPS | DECOMPOSITION | LOCAL-FIELD F | GELFAND PAIR

Algebra | Mathematical theorems | Topological theorems | Adjoints | Homeomorphism | Fourier transformations | Polynomials | Vector spaces | Topological spaces | MATHEMATICS | SHINTANI FUNCTIONS | REPRESENTATIONS | GL(N) | ORTHOGONAL GROUPS | DECOMPOSITION | LOCAL-FIELD F | GELFAND PAIR

Journal Article

2003, ISBN 3540003622, xii, 196

Book

Proceedings of the American Mathematical Society, ISSN 0002-9939, 08/2007, Volume 135, Issue 8, pp. 2505 - 2518

We extend some fixed point theorems in L-spaces, obtaining extensions of the Banach fixed point theorem to partially ordered sets.

Mathematical sequences | Frechet topologies | Mathematical theorems | Mathematical monotonicity | Topological theorems | Abstract spaces | Diagonal lemma | Partially ordered sets | Mathematics | Topological spaces | L-spaces | Partially ordered set | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | partially ordered set | fixed point | SETS | EQUATIONS

Mathematical sequences | Frechet topologies | Mathematical theorems | Mathematical monotonicity | Topological theorems | Abstract spaces | Diagonal lemma | Partially ordered sets | Mathematics | Topological spaces | L-spaces | Partially ordered set | Fixed point | MATHEMATICS | MATHEMATICS, APPLIED | partially ordered set | fixed point | SETS | EQUATIONS

Journal Article

Econometrica, ISSN 1468-0262, 2002, Volume 70, Issue 2, pp. 583 - 601

The standard envelope theorems apply to choice sets with convex and topological structure, providing sufficient conditions for the value function to be differentiable in a parameter and characterizing its derivative...

Mathematical theorems | Topological theorems | Economic value | Economic theory | Objective functions | Mechanism design | Directional derivatives | Value theorems | Mathematical independent variables | Mathematical functions | mechanism design | differentiable value function | sensitivity analysis | math programming | envelope theorem | Math programming | Envelope theorem | Sensitivity analysis | Differentiable value function | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | STATISTICS & PROBABILITY | SOCIAL SCIENCES, MATHEMATICAL METHODS | MECHANISMS | ECONOMICS | Economic research | Research | Studies | Econometrics | Mathematical programming

Mathematical theorems | Topological theorems | Economic value | Economic theory | Objective functions | Mechanism design | Directional derivatives | Value theorems | Mathematical independent variables | Mathematical functions | mechanism design | differentiable value function | sensitivity analysis | math programming | envelope theorem | Math programming | Envelope theorem | Sensitivity analysis | Differentiable value function | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | STATISTICS & PROBABILITY | SOCIAL SCIENCES, MATHEMATICAL METHODS | MECHANISMS | ECONOMICS | Economic research | Research | Studies | Econometrics | Mathematical programming

Journal Article

Taiwanese journal of mathematics, ISSN 1027-5487, 10/2016, Volume 20, Issue 5, pp. 1009 - 1039

It is shown that Rothstein's theorem holds for ( )-meromorphic functions with is a sequentially complete locally convex space...

Meromorphic functions | Mathematical functions | Mathematical theorems | Analytic functions | Liens | Topological spaces | Holomorphic functions | Locally convex space | Plurisubharmonic functions | Pluripolar set | Locally pluriregular set | MATHEMATICS | EXTENSION

Meromorphic functions | Mathematical functions | Mathematical theorems | Analytic functions | Liens | Topological spaces | Holomorphic functions | Locally convex space | Plurisubharmonic functions | Pluripolar set | Locally pluriregular set | MATHEMATICS | EXTENSION

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 2018, Volume 265, Issue 11, pp. 6036 - 6047

...–Neumann theorem needs not work. Besides, we point out the gap in its proof and show how to restate it in a...

Separatrix configuration | Separatrix | Topological equivalence | OMEGA-LIMIT SETS | MATHEMATICS | FLOWS

Separatrix configuration | Separatrix | Topological equivalence | OMEGA-LIMIT SETS | MATHEMATICS | FLOWS

Journal Article

Foundations of Computational Mathematics, ISSN 1615-3375, 10/2018, Volume 18, Issue 5, pp. 1245 - 1297

The nerve theorem relates the topological type of a suitably nice space with the nerve of a good cover of that space...

Persistence modules | Spectral sequences | Approximation | Linear and Multilinear Algebras, Matrix Theory | Mayer–Vietoris | Mathematics | Primary 55 | 55T | Numerical Analysis | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | Economics, general | TOPOLOGY | MATHEMATICS | PERSISTENT HOMOLOGY | MATHEMATICS, APPLIED | MODULES | Mayer-Vietoris | COMPUTER SCIENCE, THEORY & METHODS | Theorems (Mathematics) | Homology theory (Mathematics) | Research | Mathematical research | Topological spaces | Lower bounds | Theorems | Upper bounds | Modules | Homology | Tightness | Topology

Persistence modules | Spectral sequences | Approximation | Linear and Multilinear Algebras, Matrix Theory | Mayer–Vietoris | Mathematics | Primary 55 | 55T | Numerical Analysis | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | Economics, general | TOPOLOGY | MATHEMATICS | PERSISTENT HOMOLOGY | MATHEMATICS, APPLIED | MODULES | Mayer-Vietoris | COMPUTER SCIENCE, THEORY & METHODS | Theorems (Mathematics) | Homology theory (Mathematics) | Research | Mathematical research | Topological spaces | Lower bounds | Theorems | Upper bounds | Modules | Homology | Tightness | Topology

Journal Article

The Annals of probability, ISSN 0091-1798, 1/2004, Volume 32, Issue 1, pp. 730 - 756

Scaling limits of continuous time random walks are used in physics to model anomalous diffusion, in which a cloud of particles spreads at a different rate than...

Topological theorems | Mathematical theorems | Random walk | Eigenvalues | Laplace transformation | Mathematical vectors | Topology | Density | Physics | Borel sets | Functional limit theorem | Continuous time random walk | Operator stable law | Fractional derivative | fractional derivative | operator stable law | STATISTICS & PROBABILITY | continuous time random walk | functional limit theorem | 60H30 | 60G50 | 82C31 | 60F17

Topological theorems | Mathematical theorems | Random walk | Eigenvalues | Laplace transformation | Mathematical vectors | Topology | Density | Physics | Borel sets | Functional limit theorem | Continuous time random walk | Operator stable law | Fractional derivative | fractional derivative | operator stable law | STATISTICS & PROBABILITY | continuous time random walk | functional limit theorem | 60H30 | 60G50 | 82C31 | 60F17

Journal Article

Taiwanese journal of mathematics, ISSN 1027-5487, 4/2014, Volume 18, Issue 2, pp. 451 - 462

We study the minimax theorems for set-valued mappings with several hierarchical process, and propose three versions for minimax theorems in topological vector spaces setting...

Minimax | Mathematical theorems | Topological theorems | Logical theorems | Saddle points | Topological vector spaces | Scalars | Mathematical inequalities | Mathematical vectors | Topological spaces | Minimax theorems | Cone-saddle points | Cone-convexities | MATHEMATICS | OPTIMIZATION

Minimax | Mathematical theorems | Topological theorems | Logical theorems | Saddle points | Topological vector spaces | Scalars | Mathematical inequalities | Mathematical vectors | Topological spaces | Minimax theorems | Cone-saddle points | Cone-convexities | MATHEMATICS | OPTIMIZATION

Journal Article

Journal of fixed point theory and applications, ISSN 1661-7746, 2019, Volume 22, Issue 1

.... In this manuscript, we introduced a notion of best proximity points in arbitrary topological spaces and established few best proximity point theorems...

orbit sequence | MATHEMATICS | MATHEMATICS, APPLIED | Topologically r-contractive | best proximity points | fixed points | topological P-property

orbit sequence | MATHEMATICS | MATHEMATICS, APPLIED | Topologically r-contractive | best proximity points | fixed points | topological P-property

Journal Article

Taiwanese journal of mathematics, ISSN 1027-5487, 4/2015, Volume 19, Issue 2, pp. 653 - 658

In this paper, some new fixed point theorems for semi-closed 1-set-contractive operators of functional type are obtained, which generalize the famous...

Banach space | Mathematical theorems | Topological theorems | Functional type | Semi-closed 1-set-contractive operator | Partially ordered set | MATHEMATICS | FIXED-POINT THEOREMS | CONE EXPANSION | BANACH-SPACES | MAPPINGS | COMPRESSION | OPERATORS

Banach space | Mathematical theorems | Topological theorems | Functional type | Semi-closed 1-set-contractive operator | Partially ordered set | MATHEMATICS | FIXED-POINT THEOREMS | CONE EXPANSION | BANACH-SPACES | MAPPINGS | COMPRESSION | OPERATORS

Journal Article

Topology and its Applications, ISSN 0166-8641, 04/2017, Volume 221, pp. 695 - 714

We study a topological generalization of ideal co-maximality in topological rings and present some of its properties, including a generalization of the Chinese remainder theorem...

Interpolation | Hyperspace uniformity | Topological ring | Chinese remainder theorem | Supercomplete spaces | MATHEMATICS | MATHEMATICS, APPLIED

Interpolation | Hyperspace uniformity | Topological ring | Chinese remainder theorem | Supercomplete spaces | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Mathematical Programming, ISSN 0025-5610, 1/2016, Volume 155, Issue 1, pp. 403 - 433

We extend John’s inscribed ellipsoid theorem, as well as Loewner’s circumscribed ellipsoid theorem, from convex bodies to proper cones...

Inscribed ellipsoidal cone | Theoretical, Mathematical and Computational Physics | 47L07 | Mathematics | Convex body | 52A38 | Convex cone | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 51M25 | Circumscribed ellipsoidal cone | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CLOSED CONVEX CONES | POINTEDNESS | Studies | Topological manifolds | Mathematical analysis | Construction | Theorems | Conics | Cones | Texts | Ellipsoids | Mathematical programming

Inscribed ellipsoidal cone | Theoretical, Mathematical and Computational Physics | 47L07 | Mathematics | Convex body | 52A38 | Convex cone | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 51M25 | Circumscribed ellipsoidal cone | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CLOSED CONVEX CONES | POINTEDNESS | Studies | Topological manifolds | Mathematical analysis | Construction | Theorems | Conics | Cones | Texts | Ellipsoids | Mathematical programming

Journal Article

International Journal of Mathematics, ISSN 0129-167X, 11/2014, Volume 25, Issue 12, pp. 1450112 - 1-1450112-15

In this paper, we study the holomorphic extension of separately (⋅, W)-holomorphic functions from a product of a $\widetilde{L}$ -regular compact subset in a...

holomorphic extension | Holomorphic functions | cross theorem | Stein spaces | topological linear invariants | MATHEMATICS | GERMS | SPACES | HOLOMORPHIC-FUNCTIONS | ANALYTIC-FUNCTIONS | Functions (mathematics) | Theorems | Singularities | Mathematical analysis

holomorphic extension | Holomorphic functions | cross theorem | Stein spaces | topological linear invariants | MATHEMATICS | GERMS | SPACES | HOLOMORPHIC-FUNCTIONS | ANALYTIC-FUNCTIONS | Functions (mathematics) | Theorems | Singularities | Mathematical analysis

Journal Article

The Astrophysical Journal, ISSN 0004-637X, 08/2010, Volume 718, Issue 2, pp. 717 - 723

We demonstrate the Parker Magnetostatic Theorem in terms of a small neighborhood in solution space containing continuous force-free magnetic fields in small deviations from the uniform field...

Magnetohydrodynamics (MHD) | Magnetic fields | Sun: corona | NONEQUILIBRIUM | magnetic fields | OPTICAL ANALOGY | COMPRESSION | POTENTIAL FIELDS | FORCE-FREE FIELDS | ASTROPHYSICAL JETS | SPONTANEOUS CURRENT SHEETS | TOPOLOGICAL CHANGES | ASTRONOMY & ASTROPHYSICS | EQUILIBRIUM | magnetohydrodynamics (MHD) | TANGENTIAL DISCONTINUITIES | Physics - Solar and Stellar Astrophysics | TOPOLOGY | MAGNETIC FIELDS | MAIN SEQUENCE STARS | HYDRODYNAMICS | MAGNETOHYDRODYNAMICS | PLATES | SUN | MATHEMATICS | FLUID MECHANICS | MECHANICS | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | STARS | FORCE-FREE MAGNETIC FIELDS

Magnetohydrodynamics (MHD) | Magnetic fields | Sun: corona | NONEQUILIBRIUM | magnetic fields | OPTICAL ANALOGY | COMPRESSION | POTENTIAL FIELDS | FORCE-FREE FIELDS | ASTROPHYSICAL JETS | SPONTANEOUS CURRENT SHEETS | TOPOLOGICAL CHANGES | ASTRONOMY & ASTROPHYSICS | EQUILIBRIUM | magnetohydrodynamics (MHD) | TANGENTIAL DISCONTINUITIES | Physics - Solar and Stellar Astrophysics | TOPOLOGY | MAGNETIC FIELDS | MAIN SEQUENCE STARS | HYDRODYNAMICS | MAGNETOHYDRODYNAMICS | PLATES | SUN | MATHEMATICS | FLUID MECHANICS | MECHANICS | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | STARS | FORCE-FREE MAGNETIC FIELDS

Journal Article

manuscripta mathematica, ISSN 0025-2611, 9/2017, Volume 154, Issue 1, pp. 129 - 146

.... From some techniques in our discussion we can obtain $$L^1$$ L 1 -Liouville theorems for subharmonic functions and Liouville type theorems for holomorphic maps...

Geometry | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | Mathematics, general | Algebraic Geometry | Mathematics | Number Theory | Primary 31C05 | Secondary 58J65 | MATHEMATICS | NEVANLINNA THEORY | RIEMANNIAN-MANIFOLDS

Geometry | Topological Groups, Lie Groups | Calculus of Variations and Optimal Control; Optimization | Mathematics, general | Algebraic Geometry | Mathematics | Number Theory | Primary 31C05 | Secondary 58J65 | MATHEMATICS | NEVANLINNA THEORY | RIEMANNIAN-MANIFOLDS

Journal Article

manuscripta mathematica, ISSN 0025-2611, 5/2018, Volume 156, Issue 1, pp. 171 - 185

There is proposed the Maillet–Malgrange type theorem for a generalized power series...

Geometry | Topological Groups, Lie Groups | 34A25 | Calculus of Variations and Optimal Control; Optimization | 34M25 | Mathematics, general | Algebraic Geometry | Mathematics | Number Theory | 34M30 | MATHEMATICS | PAINLEVE | EXPANSIONS

Geometry | Topological Groups, Lie Groups | 34A25 | Calculus of Variations and Optimal Control; Optimization | 34M25 | Mathematics, general | Algebraic Geometry | Mathematics | Number Theory | 34M30 | MATHEMATICS | PAINLEVE | EXPANSIONS

Journal Article

Homology, homotopy, and applications, ISSN 1532-0081, 2013, Volume 15, Issue 1, pp. 343 - 374

.... Several theorems have concerned thresholds for vanishing of homology groups, and in some cases expectations of the Betti numbers...

MATHEMATICS | MATHEMATICS, APPLIED | central limit theorem | random graph | topological data analysis | HOMOLOGICAL CONNECTIVITY | random simplicial complex | 60D05 | 05C80 | Random graph

MATHEMATICS | MATHEMATICS, APPLIED | central limit theorem | random graph | topological data analysis | HOMOLOGICAL CONNECTIVITY | random simplicial complex | 60D05 | 05C80 | Random graph

Journal Article

The Journal of geometric analysis, ISSN 1559-002X, 2018, Volume 29, Issue 3, pp. 2752 - 2775

We develop some of the basic theory for the obstacle problem on Riemannian manifolds, and we use it to establish a mean value theorem...

Riemannian manifolds | Laplace–Beltrami operator | 58J05 | Mathematics | Harmonic manifolds | 35J15 | 35B05C | Abstract Harmonic Analysis | Mean value theorem | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | 35R35 | Differential Geometry | Dynamical Systems and Ergodic Theory | Obstacle problem | MATHEMATICS | REGULARITY | Laplace-Beltrami operator

Riemannian manifolds | Laplace–Beltrami operator | 58J05 | Mathematics | Harmonic manifolds | 35J15 | 35B05C | Abstract Harmonic Analysis | Mean value theorem | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | 35R35 | Differential Geometry | Dynamical Systems and Ergodic Theory | Obstacle problem | MATHEMATICS | REGULARITY | Laplace-Beltrami operator

Journal Article

1974, Cambridge tracts in mathematics, ISBN 9780521202893, Volume 66, viii, 93

Book

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