Live briefing
Everything about Quasi-analytic function
In mathematics, a quasi-analytic class of functions is a generalization of the class of real analytic functions based upon the following fact: If f is an analytic function on an interval [a,b] ⊂ R, and at some point f and all of its derivatives are zero, then f is identically zero on all of [a,b]. Quasi-analytic classes are broader classes of functions for which this statement still holds true. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Quasi-analytic functionA 5-minute orientation
- Skim a recent paper: Subclasses of analytic and bi-univalent functions involving a generalized Mittag-Leffler function based on quasi-subordinationInfluential work since 2022
- Pick up a classic book: Cartesian meditationsThe most-reprinted book on the subject
- Read the landmark paper: Quasi-Analytic Functions, Laplace Operator, Positive KernelsCited 22 times
- Go sideways: Carleman's inequalityA closely related topic
- Go sideways: Reflexive spaceA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Quasi-Analytic Functions, Laplace Operator, Positive Kernels
Quasi-analytic vectors and quasi-analytic functions
Quasi-Rational Analytic Approximation for the Modified Bessel Function I1(x) with High Accuracy
IMPLICIT FUNCTION THEOREM FOR QUASI-ANALYTIC AND RELATED CLASSES OF FUNCTIONS
Point-spread function computation: analytic end correction in the quasi-digital method
Analytic functions with quasi-analytic boundary values
On Quasi-Analytic Functions
Note on Quasi‐Analytic Functions
🆕 Influential since 2022
Subclasses of analytic and bi-univalent functions involving a generalized Mittag-Leffler function based on quasi-subordination
Riemann boundary value problems for multiplicative doubly quasi-periodic meta-analytic functions
Estimates for a class of analytic and univalent functions connected with quasi-subordination
Polynomial Approximation of Piecewise Analytic Functions on Quasi-Smooth Arcs
A Theorem of Chernoff on Quasi-analytic Functions for Riemannian Symmetric Spaces
📚 Books worth reading
Cartesian meditationsEdmund Husserl, Dorion Cairns · 1960
The Conspirators HierarchyJohn Coleman · 1992
Perturbation theory for linear operatorsTosio Katō · 1966- 📕Perron summability as related to Denjoy type quasi analytic functionsGregory Lawrence Curme · 1960
On the Approximation of Functions of a Real Variable and on Quasi-Analytic Functions. The Rice Institute Pamphlet Vol. XII, No. 2Charles de la Vallee Poussin · 1925- 📕Problems in the theory of quasi-analytic and non-quasi-analytic classes of functionsGösta Wahde · 1967
- 📕Weighted approximation for function algebras and quasi-analytic mappingsLeopoldo Nachbin · 1969
Direct methods for stability analysis of electric power systemsH. Chiang · 2011
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Carleman's inequality Carleman's inequality is an inequality in mathematics, named after Torsten Carleman, who proved it in 1923 and used it to prove the Denjoy–Carleman theorem…
- Reflexive space In the area of mathematics known as functional analysis, a reflexive space is a locally convex topological vector space for which the canonical evaluation…
- Fréchet algebra In mathematics, especially functional analysis, a Fréchet algebra, named after Maurice René Fréchet, is an associative algebra A {\displaystyle A} over…
- Polyharmonic spline In applied mathematics, polyharmonic splines are used for function approximation and data interpolation. They are very useful for interpolating and fitting…
- Anatoly Karatsuba Anatoly Alexeyevich Karatsuba (his first name often spelled Anatolii) (Russian: Анато́лий Алексе́евич Карацу́ба; Grozny, Soviet Union, 31 January 1937…
- Krein's condition In mathematical analysis, Krein's condition provides a necessary and sufficient condition for exponential sums { ∑ k = 1 n a k exp ( i λ k x ) , a k…
- Coherent sheaf cohomology In mathematics, especially in algebraic geometry and the theory of complex manifolds, coherent sheaf cohomology is a technique for producing functions…
- Berkovich space In mathematics, a Berkovich space, introduced by Berkovich (1990), is a version of an analytic space over a non-Archimedean field (e.g. p-adic field),…