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Everything about Subharmonic function
Class of mathematical functions
In mathematics, subharmonic and superharmonic functions are important classes of functions used extensively in partial differential equations, complex analysis and potential theory. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Subharmonic functionA 5-minute orientation
- Skim a recent paper: A monotonicity theorem for subharmonic functions on manifoldsInfluential work since 2022
- Pick up a classic book: Growth theory of subharmonic functionsThe most-reprinted book on the subject
- Read the landmark paper: Modeling subharmonic response from contrast microbubbles as a function of ambient static pressureCited 60 times
- Go sideways: Singular integral operators on closed curvesA closely related topic
- Go sideways: Green's function for the three-variable Laplace equationA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Modeling subharmonic response from contrast microbubbles as a function of ambient static pressure
On the existence of a largest subharmonic minorant of a given function
Entire Functions with Bounded Minimum Modulus; Subharmonic Function Analogues
Separately subharmonic functions need not be subharmonic
Conditions for separately subharmonic functions to be subharmonic
Strongly Subharmonic Functions.
Some properties of the riesz charge associated with a ?-subharmonic function
Concentration index of a subharmonic function of zeroth order
🆕 Influential since 2022
A monotonicity theorem for subharmonic functions on manifolds
Maximal Subextension and Approximation of m-Subharmonic Function
Approximation of m-subharmonic function with given boundary values
On Pluripotential Theory Associated to Quaternionic m-Subharmonic Functions
The Spaces of Delta-subharmonic Functions of Finite Order with Respect to the Model Function of Growth
📚 Books worth reading
Growth theory of subharmonic functionsV. S. Azarin · 2009- 📕Harmonic and Subharmonic Function Theory on the Hyperbolic BallManfred Stoll · 2016
The Schwarz lemmaSeán Dineen · 1989
On the problem of Plateau [and] Subharmonic functionsTibor Radó · 1971
On the problem of PlateauTibor Radó · 1971- 📕Regular growth of subharmonic functionsJun'ichi Itô · 1984
- 📕Regular growth of subharmonic functionsJun-iti Itô · 1984
- 📕Teorii︠a︡ operatorov, subgarmonicheskie funkt︠s︡iiMarchenko, V. A. · 1991
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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