Difference between revisions of "Category:Analysis"
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− | * {{ | + | * {{MSCwiki|26}} [[:Category:Real functions]] {See also {{MSCwiki|54C30}}} |
− | * {{ | + | * {{MSCwiki|28}} [[:Category:Measure and integration]] {For analysis on manifolds, see {{MSCwiki|58-XX}}} |
− | * {{ | + | * {{MSCwiki|30}} [[:Category:Functions of a complex variable]] {For analysis on manifolds, see {{MSCwiki|58-XX}}} |
− | * {{ | + | * {{MSCwiki|31}} [[:Category:Potential theory]] {For probabilistic potential theory, see {{MSCwiki|60J45}}} |
− | * {{ | + | * {{MSCwiki|32}} [[:Category:Several complex variables and analytic spaces]] {For infinite-dimensional holomorphy, see {{MSCwiki|46G20}}, {{MSCwiki|58B12}}} |
− | * {{ | + | * {{MSCwiki|33}} [[:Category:Special functions]] ({{MSCwiki|33-XX}} deals with the properties of functions as functions) {For orthogonal functions, see {{MSCwiki|42Cxx}}; for aspects of combinatorics, see {{MSCwiki|05Axx}}; for number-theoretic aspects, see {{MSCwiki|11-XX}}; for representation theory, see {{MSCwiki|22Exx}}} |
− | * {{ | + | * {{MSCwiki|40}} [[:Category:Sequences, series, summability]] |
− | * {{ | + | * {{MSCwiki|41}} [[:Category:Approximations and expansions]] {For all approximation theory in the complex domain, see {{MSCwiki|30E05}} and {{MSCwiki|30E10}}; for all trigonometric approximation and interpolation, see {{MSCwiki|42A10}} and {{MSCwiki|42A15}}; for numerical approximation, see {{MSCwiki|65Dxx}}} |
− | * {{ | + | * {{MSCwiki|42}} [[:Category:Harmonic analysis on Euclidean spaces]] |
− | * {{ | + | * {{MSCwiki|43}} [[:Category:Abstract harmonic analysis]] {For other analysis on topological and Lie groups, see {{MSCwiki|22Exx}}} |
− | * {{ | + | * {{MSCwiki|44}} [[:Category:Integral transforms, operational calculus]] {For fractional derivatives and integrals, see {{MSCwiki|26A33}}. For Fourier transforms, see {{MSCwiki|42A38}}, {{MSCwiki|42B10}}. For integral transforms in distribution spaces, see {{MSCwiki|46F12}}. For numerical methods, see {{MSCwiki|65R10}}} |
− | * {{ | + | * {{MSCwiki|45}} [[:Category:Integral equations]] |
− | * {{ | + | * {{MSCwiki|46}} [[:Category:Functional analysis]] {For manifolds modeled on topological linear spaces, see {{MSCwiki|57Nxx}}, {{MSCwiki|58Bxx}}} |
− | * {{ | + | * {{MSCwiki|47}} [[:Category:Operator theory]] |
(MSC2010 codes) | (MSC2010 codes) | ||
[[Category:Mathematics]] | [[Category:Mathematics]] |
Latest revision as of 22:24, 28 January 2012
- 26-XX Category:Real functions {See also 54C30}
- 28-XX Category:Measure and integration {For analysis on manifolds, see 58-XX}
- 30-XX Category:Functions of a complex variable {For analysis on manifolds, see 58-XX}
- 31-XX Category:Potential theory {For probabilistic potential theory, see 60J45}
- 32-XX Category:Several complex variables and analytic spaces {For infinite-dimensional holomorphy, see 46G20, 58B12}
- 33-XX Category:Special functions (33-XX deals with the properties of functions as functions) {For orthogonal functions, see 42Cxx; for aspects of combinatorics, see 05Axx; for number-theoretic aspects, see 11-XX; for representation theory, see 22Exx}
- 40-XX Category:Sequences, series, summability
- 41-XX Category:Approximations and expansions {For all approximation theory in the complex domain, see 30E05 and 30E10; for all trigonometric approximation and interpolation, see 42A10 and 42A15; for numerical approximation, see 65Dxx}
- 42-XX Category:Harmonic analysis on Euclidean spaces
- 43-XX Category:Abstract harmonic analysis {For other analysis on topological and Lie groups, see 22Exx}
- 44-XX Category:Integral transforms, operational calculus {For fractional derivatives and integrals, see 26A33. For Fourier transforms, see 42A38, 42B10. For integral transforms in distribution spaces, see 46F12. For numerical methods, see 65R10}
- 45-XX Category:Integral equations
- 46-XX Category:Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx}
- 47-XX Category:Operator theory
(MSC2010 codes)
Subcategories
This category has the following 14 subcategories, out of 14 total.
Pages in category "Analysis"
The following 194 pages are in this category, out of 194 total.
A
- Abel criterion
- Abel summation method
- Abel transformation
- Absolute continuity
- Absolutely continuous measures
- Absolutely convergent improper integral
- Absolutely convergent series
- Absolutely integrable function
- Additive class of sets
- Additivity
- Airy equation
- Algebra of sets
- Alternating series
- Analytic Borel space
- Analytic capacity
- Analytic function
- Approximate continuity
- Approximate derivative
- Approximate differentiability
- Approximate limit
- Arzelà variation
- Atom
B
C
- Cantor ternary function
- Carathéodory measure
- Casorati-Sokhotskii-Weierstrass theorem
- Cauchy criteria
- Cauchy integral theorem
- Cauchy kernel
- Cauchy sequence
- Cauchy test
- Cauchy-Riemann equations
- Cesàro summation methods
- Change of variables in an integral
- Chebyshev theorem
- Conditional convergence
- Continued fraction
- Continuity, modulus of
- Convergence in probability
- Convergence of measures
- Convexity, logarithmic
- Convolution transform
- Creation operators
- Cylinder functions
D
- D'Alembert criterion (convergence of series)
- Darboux theorem
- De la Vallée-Poussin criterion
- Dedekind criterion (convergence of series)
- Defective value
- Density of a set
- Density topology
- Differentiation of measures
- Dini criterion
- Dini-Lipschitz criterion
- Dirichlet criterion (convergence of series)
- Divergence theorem
- Du Bois-Reymond criterion (convergence of series)
E
F
H
I
J
L
- Lacunary sequence
- Lagrange function
- Lagrange multipliers
- Lambert summation method
- Lebesgue criterion
- Lebesgue decomposition
- Lebesgue integral
- Lebesgue point
- Leibniz criterion
- Leibniz rule
- Leibniz series
- Lipschitz condition
- Lipschitz constant
- Lipschitz function
- Lobachevskii criterion (for convergence)
- Local normal forms for dynamical systems
- Logarithmic convergence criterion
- Luzin-Privalov theorems
M
P
R
S
T
How to Cite This Entry:
Analysis. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Analysis&oldid=20081
Analysis. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Analysis&oldid=20081