Journal of Mathematical Economics, ISSN 0304-4068, 12/2016, Volume 67, pp. 32 - 37

I define canonical utility functions via an explicit formula that inherits semicontinuity, continuity, Cauchy continuity, and uniform continuity from...

Rader Theorem | Cauchy continuity | Preference extensions | Debreu Theorem | Continuous preferences | Uniform continuity | EXISTENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Studies | Theorems | Preferences | Utility functions

Rader Theorem | Cauchy continuity | Preference extensions | Debreu Theorem | Continuous preferences | Uniform continuity | EXISTENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Studies | Theorems | Preferences | Utility functions

Journal Article

Topology and its Applications, ISSN 0166-8641, 08/2016, Volume 208, pp. 1 - 9

In the context of real-valued functions defined on metric spaces, it is known that the locally Lipschitz functions are uniformly dense in the continuous...

Cauchy–Lipschitz function | Locally Lipschitz function | Cauchy continuous function | Lipschitz in the small function | Uniform approximation | Secondary | Cauchy-Lipschitz function | Primary | MATHEMATICS | MATHEMATICS, APPLIED | LOCALLY LIPSCHITZ FUNCTIONS | METRIC-SPACES | COFINAL COMPLETENESS

Cauchy–Lipschitz function | Locally Lipschitz function | Cauchy continuous function | Lipschitz in the small function | Uniform approximation | Secondary | Cauchy-Lipschitz function | Primary | MATHEMATICS | MATHEMATICS, APPLIED | LOCALLY LIPSCHITZ FUNCTIONS | METRIC-SPACES | COFINAL COMPLETENESS

Journal Article

Topology and its Applications, ISSN 0166-8641, 09/2016, Volume 210, pp. 366 - 375

We show that the negation of each one of the following statements is consistent with ZF: (i) Every sequentially compact metric space X=(X,d) is normal, i.e.,...

Countably compact | Axiom of Choice | Complete | Totally bounded and Lebesgue metric spaces | Sequentially compact | Compact | Cofinally Cauchy sequence | MATHEMATICS | Totally bounded and Lebesgue | MATHEMATICS, APPLIED | metric spaces | COMPACTNESS | Cytokinins

Countably compact | Axiom of Choice | Complete | Totally bounded and Lebesgue metric spaces | Sequentially compact | Compact | Cofinally Cauchy sequence | MATHEMATICS | Totally bounded and Lebesgue | MATHEMATICS, APPLIED | metric spaces | COMPACTNESS | Cytokinins

Journal Article

1989, Monographs and textbooks in pure and applied mathematics, ISBN 9780824779924, Volume 123, xiv, 166 p. --

Book

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2007, Volume 328, Issue 1, pp. 640 - 654

A column continuous transition function is by definition a standard transition function P ( t ) whose every column is continuous for t ⩾ 0 in the norm topology...

Transition functions | Generators | q-Matrices | Continuous-time Markov chains | Integrated semigroups | integrated semigroups | LAPLACE TRANSFORMS | MATHEMATICS | MATHEMATICS, APPLIED | continuous-time Markov chains | transition functions | generators | C-SEMIGROUPS | ABSTRACT CAUCHY-PROBLEM | q-matrices

Transition functions | Generators | q-Matrices | Continuous-time Markov chains | Integrated semigroups | integrated semigroups | LAPLACE TRANSFORMS | MATHEMATICS | MATHEMATICS, APPLIED | continuous-time Markov chains | transition functions | generators | C-SEMIGROUPS | ABSTRACT CAUCHY-PROBLEM | q-matrices

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 07/2012, Volume 29, Issue 14, pp. 145001 - 32

We present a systematic study of causality theory on Lorentzian manifolds with continuous metrics. Examples are given which show that some standard facts in...

CHARACTERISTIC CAUCHY-PROBLEM | PHYSICS, MULTIDISCIPLINARY | EINSTEIN CONSTRAINT EQUATIONS | ASTRONOMY & ASTROPHYSICS | ROUGH SOLUTIONS | COEFFICIENTS | MANIFOLDS | GENERAL RELATIVITY | SPACE-TIMES | PHYSICS, PARTICLES & FIELDS | Manifolds | Time functions | Quantum gravity | Standards

CHARACTERISTIC CAUCHY-PROBLEM | PHYSICS, MULTIDISCIPLINARY | EINSTEIN CONSTRAINT EQUATIONS | ASTRONOMY & ASTROPHYSICS | ROUGH SOLUTIONS | COEFFICIENTS | MANIFOLDS | GENERAL RELATIVITY | SPACE-TIMES | PHYSICS, PARTICLES & FIELDS | Manifolds | Time functions | Quantum gravity | Standards

Journal Article

The Annals of Applied Probability, ISSN 1050-5164, 8/2011, Volume 21, Issue 4, pp. 1537 - 1567

Scaling limits are analyzed for stochastic continuous opinion dynamics systems, also known as gossip models. In such models, agents update their vector-valued...

Dirac delta function | Gossip | Social interaction | Odes | Stochastic processes | Ordinary differential equations | Population size | Modeling | Density | Cauchy problem | Probability-measure-valued Odes | Social networks | Opinion dynamics | Scaling limits | Bounded confidence | Multi-agent systems | bounded confidence | scaling limits | MODELS | social networks | opinion dynamics | STATISTICS & PROBABILITY | probability-measure-valued ODEs | CONFIDENCE | 93A15 | 91D30 | 60K35

Dirac delta function | Gossip | Social interaction | Odes | Stochastic processes | Ordinary differential equations | Population size | Modeling | Density | Cauchy problem | Probability-measure-valued Odes | Social networks | Opinion dynamics | Scaling limits | Bounded confidence | Multi-agent systems | bounded confidence | scaling limits | MODELS | social networks | opinion dynamics | STATISTICS & PROBABILITY | probability-measure-valued ODEs | CONFIDENCE | 93A15 | 91D30 | 60K35

Journal Article

Set-Valued and Variational Analysis, ISSN 1877-0533, 3/2018, Volume 26, Issue 1, pp. 49 - 65

In the context of functions between metric spaces, continuity is preserved by uniform convergence on the bornology of relatively compact subsets while Cauchy...

Secondary 54E50, 54E35 | Totally bounded set | Relatively compact set | Probability Theory and Stochastic Processes | Mathematics | Continuous function | Bornology | Primary 54C35, 26A16, 46A17 | Analysis | Ring of functions | Bourbaki bounded set | Lipschitz function | Infinitely nonuniformly isolated set | Cauchy continuous function | Uniformly continuous function | UC-space | MATHEMATICS, APPLIED

Secondary 54E50, 54E35 | Totally bounded set | Relatively compact set | Probability Theory and Stochastic Processes | Mathematics | Continuous function | Bornology | Primary 54C35, 26A16, 46A17 | Analysis | Ring of functions | Bourbaki bounded set | Lipschitz function | Infinitely nonuniformly isolated set | Cauchy continuous function | Uniformly continuous function | UC-space | MATHEMATICS, APPLIED

Journal Article

Journal d'Analyse Mathématique, ISSN 0021-7670, 10/2018, Volume 136, Issue 1, pp. 83 - 101

We deal with anomalous diffusions induced by continuous time random walks - CTRW in ℝ n . A particle moves in ℝ n in such a way that the probability density...

Abstract Harmonic Analysis | Mathematics | Functional Analysis | Dynamical Systems and Ergodic Theory | Analysis | Partial Differential Equations | MATHEMATICS | DIFFUSION | APPROXIMATE | Thermodynamics | Random walk | Random walk theory | Rescaling | Density distribution | Probability density functions | Cauchy problem

Abstract Harmonic Analysis | Mathematics | Functional Analysis | Dynamical Systems and Ergodic Theory | Analysis | Partial Differential Equations | MATHEMATICS | DIFFUSION | APPROXIMATE | Thermodynamics | Random walk | Random walk theory | Rescaling | Density distribution | Probability density functions | Cauchy problem

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 2009, Volume 247, Issue 4, pp. 1249 - 1274

In this paper we present a new approach to the spectral theory of non-uniformly continuous functions and a new framework for the Loomis–Arendt–Batty–Vu theory....

Arendt–Batty–Lyubich–Vu theorem | Asymptotic stability | Almost periodicity | Spectrum of function | Loomis theorem | Almost automorphy | Reduced spectrum | Arendt-Batty-Lyubich-Vu theorem | FUNCTION-SPACES | STABILITY | ALMOST-PERIODIC SOLUTIONS | DIFFERENTIAL-EQUATIONS | MATHEMATICS | SEMIGROUPS | CAUCHY-PROBLEMS | TAUBERIAN-THEOREMS | HARMONIC-ANALYSIS | BANACH-SPACES | BOUNDED SOLUTIONS

Arendt–Batty–Lyubich–Vu theorem | Asymptotic stability | Almost periodicity | Spectrum of function | Loomis theorem | Almost automorphy | Reduced spectrum | Arendt-Batty-Lyubich-Vu theorem | FUNCTION-SPACES | STABILITY | ALMOST-PERIODIC SOLUTIONS | DIFFERENTIAL-EQUATIONS | MATHEMATICS | SEMIGROUPS | CAUCHY-PROBLEMS | TAUBERIAN-THEOREMS | HARMONIC-ANALYSIS | BANACH-SPACES | BOUNDED SOLUTIONS

Journal Article

Boundary Value Problems, ISSN 1687-2762, 12/2012, Volume 2012, Issue 1, pp. 1 - 14

A Cauchy-type nonlinear problem for a class of fractional differential equations with sequential derivatives is considered in the space of weighted continuous...

fractional derivatives | Ordinary Differential Equations | Analysis | Riemann-Liouville fractional derivative | Difference and Functional Equations | Approximations and Expansions | fractional differential equation | Mathematics, general | Mathematics | sequential fractional derivative | Partial Differential Equations | Fractional differential equation | Sequential fractional derivative | Fractional derivatives | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | ABSTRACT DIFFERENTIAL-EQUATION | Functions, Continuous | Usage | Research | Integral equations | Mathematical research | Cauchy problem | Boundary value problems | Mathematical analysis | Uniqueness | Classification | Differential equations | Nonlinearity | Derivatives

fractional derivatives | Ordinary Differential Equations | Analysis | Riemann-Liouville fractional derivative | Difference and Functional Equations | Approximations and Expansions | fractional differential equation | Mathematics, general | Mathematics | sequential fractional derivative | Partial Differential Equations | Fractional differential equation | Sequential fractional derivative | Fractional derivatives | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | ABSTRACT DIFFERENTIAL-EQUATION | Functions, Continuous | Usage | Research | Integral equations | Mathematical research | Cauchy problem | Boundary value problems | Mathematical analysis | Uniqueness | Classification | Differential equations | Nonlinearity | Derivatives

Journal Article

Boundary Value Problems, ISSN 1687-2762, 12/2010, Volume 2010, Issue 1, pp. 1 - 15

We consider Hölder continuous circulant ( ) matrix functions defined on the fractal boundary of a domain in . The main goal is to study under which conditions...

Ordinary Differential Equations | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | Mathematics | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | CLIFFORD | CAUCHY | Functions | Fractals | Research | Functional equations | Matrix decomposition | Harmonic analysis | Decomposition | Algebra | Boundaries | Operators | Mathematical analysis | Exteriors | Fractal analysis | Transforms

Ordinary Differential Equations | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | Mathematics | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | CLIFFORD | CAUCHY | Functions | Fractals | Research | Functional equations | Matrix decomposition | Harmonic analysis | Decomposition | Algebra | Boundaries | Operators | Mathematical analysis | Exteriors | Fractal analysis | Transforms

Journal Article

1994, 2nd ed., Wiley series in probability and mathematical statistics, ISBN 9780471584957, v.

Book

1970, Their Distributions in statistics, 2 v.

Book

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2020, Volume 486, Issue 1, p. 123839

The purpose of this article is to explore the very general phenomenon that a function between metric spaces has a particular metric property if and only if...

Locally Lipschitz function | Lipschitz spaces | Cauchy continuous function | Uniformly continuous function | Lipschitz in the small function | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | COMPLETENESS

Locally Lipschitz function | Lipschitz spaces | Cauchy continuous function | Uniformly continuous function | Lipschitz in the small function | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | COMPLETENESS

Journal Article

Boundary Value Problems, ISSN 1687-2770, 12/2008, Volume 2008, Issue 1, pp. 1 - 16

We consider Hölder continuous circulant matrix functions defined on the Ahlfors-David regular boundary of a domain in . The main goal is to study under which...

Ordinary Differential Equations | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | Mathematics | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | TRANSFORM | Cauchy transform | Functions, Continuous | Research | Properties | Integrals | Decomposition (Mathematics) | Harmonic analysis | Decomposition | Euclidean space | Algebra | Lie groups

Ordinary Differential Equations | Analysis | Difference and Functional Equations | Approximations and Expansions | Mathematics, general | Mathematics | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | TRANSFORM | Cauchy transform | Functions, Continuous | Research | Properties | Integrals | Decomposition (Mathematics) | Harmonic analysis | Decomposition | Euclidean space | Algebra | Lie groups

Journal Article

Bulletin of the Brazilian Mathematical Society, New Series, ISSN 1678-7544, 3/2009, Volume 40, Issue 1, pp. 107 - 115

In this paper the Théodoresco transform is used to show that, under additional assumptions, each Hölder continuous function f defined on the boundary Γ of a...

Fractal geometry | Mathematical and Computational Physics | Mathematics, general | 30G35 | Mathematics | Hermitian Clifford analysis | Théodoreco transform | MATHEMATICS | CLIFFORD ANALYSIS | Theodoreco transform | CAUCHY TRANSFORM

Fractal geometry | Mathematical and Computational Physics | Mathematics, general | 30G35 | Mathematics | Hermitian Clifford analysis | Théodoreco transform | MATHEMATICS | CLIFFORD ANALYSIS | Theodoreco transform | CAUCHY TRANSFORM

Journal Article

American Mineralogist, ISSN 0003-004X, 04/2003, Volume 88, Issue 4, pp. 694 - 700

To better understand the extended X-ray absorption fine structure (EXAFS) spectroscopic information obtained for complex materials such as those encountered in...

ZIRCON | GEOCHEMISTRY & GEOPHYSICS | BODY DISTRIBUTION-FUNCTIONS | ABSORPTION FINE-STRUCTURE | SPECTROSCOPY | CONDENSED MATTER | GOLD(III) | RAY | THORITE | RADIATION | SCATTERING | MINERALOGY | Cauchy transform | Wavelet transforms | Usage | Mineralogy | Analysis | Research | Minerals | Geochemistry | Earth Sciences | Sciences of the Universe

ZIRCON | GEOCHEMISTRY & GEOPHYSICS | BODY DISTRIBUTION-FUNCTIONS | ABSORPTION FINE-STRUCTURE | SPECTROSCOPY | CONDENSED MATTER | GOLD(III) | RAY | THORITE | RADIATION | SCATTERING | MINERALOGY | Cauchy transform | Wavelet transforms | Usage | Mineralogy | Analysis | Research | Minerals | Geochemistry | Earth Sciences | Sciences of the Universe

Journal Article

SBORNIK MATHEMATICS, ISSN 1064-5616, 2014, Volume 205, Issue 5, pp. 684 - 702

The paper is concerned with the Mathieu-type differential equation u '' = -A(2)u + epsilon B(t)u in a Hilbert space H. It is assumed that A is a bounded...

MATHEMATICS | parametric resonance | continuous spectrum | stability | Functions (mathematics) | Operators (mathematics) | Mathematical analysis | Differential equations | Paper | Hilbert space | Cauchy problem

MATHEMATICS | parametric resonance | continuous spectrum | stability | Functions (mathematics) | Operators (mathematics) | Mathematical analysis | Differential equations | Paper | Hilbert space | Cauchy problem

Journal Article

Journal of Approximation Theory, ISSN 0021-9045, 01/2019, Volume 237, pp. 210 - 221

In this paper we prove that if a continuous multivariate function is represented by a sum of arbitrarily behaved ridge functions, then, under a suitable...

Cauchy functional equation | Modulus of continuity | Ridge function | MATHEMATICS | APPROXIMATION

Cauchy functional equation | Modulus of continuity | Ridge function | MATHEMATICS | APPROXIMATION

Journal Article

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