Strange Functions in Real Analysis
portes grátis
Strange Functions in Real Analysis
Kharazishvili, Alexander
Taylor & Francis Ltd
10/2024
440
Mole
9781032919881
Pré-lançamento - envio 15 a 20 dias após a sua edição
Descrição não disponível.
Introduction: basic concepts
Cantor and Peano type functions
Functions of first Baire class
Semicontinuous functions that are not countably continuous
Singular monotone functions
A characterization of constant functions via Dini's derived numbers
Everywhere differentiable nowhere monotone functions
Continuous nowhere approximately differentiable functions
Blumberg's theorem and Sierpinski-Zygmund functions
The cardinality of first Baire class
Lebesgue nonmeasurable functions and functions without the Baire property
Hamel basis and Cauchy functional equation
Summation methods and Lebesgue nonmeasurable functions
Luzin sets, Sierpi?nski sets, and their applications
Absolutely nonmeasurable additive functions
Egorov type theorems
A difference between the Riemann and Lebesgue iterated integrals
Sierpinski's partition of the Euclidean plane
Bad functions defined on second category sets
Sup-measurable and weakly sup-measurable functions
Generalized step-functions and superposition operators
Ordinary differential equations with bad right-hand sides
Nondifferentiable functions from the point of view of category and measure
Absolute null subsets of the plane with bad orthogonal projections
Appendix 1: Luzin's theorem on the existence of primitives
Appendix 2: Banach limits on the real line
Cantor and Peano type functions
Functions of first Baire class
Semicontinuous functions that are not countably continuous
Singular monotone functions
A characterization of constant functions via Dini's derived numbers
Everywhere differentiable nowhere monotone functions
Continuous nowhere approximately differentiable functions
Blumberg's theorem and Sierpinski-Zygmund functions
The cardinality of first Baire class
Lebesgue nonmeasurable functions and functions without the Baire property
Hamel basis and Cauchy functional equation
Summation methods and Lebesgue nonmeasurable functions
Luzin sets, Sierpi?nski sets, and their applications
Absolutely nonmeasurable additive functions
Egorov type theorems
A difference between the Riemann and Lebesgue iterated integrals
Sierpinski's partition of the Euclidean plane
Bad functions defined on second category sets
Sup-measurable and weakly sup-measurable functions
Generalized step-functions and superposition operators
Ordinary differential equations with bad right-hand sides
Nondifferentiable functions from the point of view of category and measure
Absolute null subsets of the plane with bad orthogonal projections
Appendix 1: Luzin's theorem on the existence of primitives
Appendix 2: Banach limits on the real line
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Baire Property;Sierpinski-Zygmund functions;Topological Space;Cauchy functional equation;Lebesgue Measure;Cantor type functions;Martin's Axiom;peano type functions;Ordinal Number;Lebesgue Sense;Borel Subsets;Nonempty Perfect Subset;Lebesgue Measurable Function;Nonempty Perfect Set;Banach Space;Transfinite Recursion;ZFC Theory;Polish Topological Space;Closed Subset;Nonempty Open Set;Luzin Sets;Uncountable Polish Topological Space;Category Subset;Generalized Luzin Sets;Diffused Borel Measure;Borel Function;Ordinary Differential Equations;Metric Space;Cauchy's Functional Equation
Introduction: basic concepts
Cantor and Peano type functions
Functions of first Baire class
Semicontinuous functions that are not countably continuous
Singular monotone functions
A characterization of constant functions via Dini's derived numbers
Everywhere differentiable nowhere monotone functions
Continuous nowhere approximately differentiable functions
Blumberg's theorem and Sierpinski-Zygmund functions
The cardinality of first Baire class
Lebesgue nonmeasurable functions and functions without the Baire property
Hamel basis and Cauchy functional equation
Summation methods and Lebesgue nonmeasurable functions
Luzin sets, Sierpi?nski sets, and their applications
Absolutely nonmeasurable additive functions
Egorov type theorems
A difference between the Riemann and Lebesgue iterated integrals
Sierpinski's partition of the Euclidean plane
Bad functions defined on second category sets
Sup-measurable and weakly sup-measurable functions
Generalized step-functions and superposition operators
Ordinary differential equations with bad right-hand sides
Nondifferentiable functions from the point of view of category and measure
Absolute null subsets of the plane with bad orthogonal projections
Appendix 1: Luzin's theorem on the existence of primitives
Appendix 2: Banach limits on the real line
Cantor and Peano type functions
Functions of first Baire class
Semicontinuous functions that are not countably continuous
Singular monotone functions
A characterization of constant functions via Dini's derived numbers
Everywhere differentiable nowhere monotone functions
Continuous nowhere approximately differentiable functions
Blumberg's theorem and Sierpinski-Zygmund functions
The cardinality of first Baire class
Lebesgue nonmeasurable functions and functions without the Baire property
Hamel basis and Cauchy functional equation
Summation methods and Lebesgue nonmeasurable functions
Luzin sets, Sierpi?nski sets, and their applications
Absolutely nonmeasurable additive functions
Egorov type theorems
A difference between the Riemann and Lebesgue iterated integrals
Sierpinski's partition of the Euclidean plane
Bad functions defined on second category sets
Sup-measurable and weakly sup-measurable functions
Generalized step-functions and superposition operators
Ordinary differential equations with bad right-hand sides
Nondifferentiable functions from the point of view of category and measure
Absolute null subsets of the plane with bad orthogonal projections
Appendix 1: Luzin's theorem on the existence of primitives
Appendix 2: Banach limits on the real line
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Baire Property;Sierpinski-Zygmund functions;Topological Space;Cauchy functional equation;Lebesgue Measure;Cantor type functions;Martin's Axiom;peano type functions;Ordinal Number;Lebesgue Sense;Borel Subsets;Nonempty Perfect Subset;Lebesgue Measurable Function;Nonempty Perfect Set;Banach Space;Transfinite Recursion;ZFC Theory;Polish Topological Space;Closed Subset;Nonempty Open Set;Luzin Sets;Uncountable Polish Topological Space;Category Subset;Generalized Luzin Sets;Diffused Borel Measure;Borel Function;Ordinary Differential Equations;Metric Space;Cauchy's Functional Equation
