Is there an explicit formula for the eigenfunctions of the fractional laplacian $(-\Delta)^s$ in a ball when $1<s<2$? I can only found reference when $s\in(0,1)$.
2026-03-25 21:49:27.1774475367
Eigenfunctions of high order fractional operator
47 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in SPECTRAL-THEORY
- Why is $\lambda\mapsto(\lambda\textbf{1}-T)^{-1}$ analytic on $\rho(T)$?
- Power spectrum of field over an arbitrarily-shaped country
- Calculating spectrum and resolvent set of a linear operator (General question).
- Operator with compact resolvent
- bounded below operator/ Kato-Rellich
- Show directly that if $E_1\geqslant E_2\geqslant\dots$, then $E_i\rightarrow \bigwedge E_i$ strongly.
- Is the spectral radius less than $1$?
- How to show range of a projection is an eigenspace.
- Spectral radius inequality for non-abelian Banach algebras
- Do unitarily equivalent operators have the same spectrum?
Related Questions in FRACTIONAL-CALCULUS
- Fractional derivative and Leibniz rule
- Series Derived from the Fractional Derivative of Geometric Series
- Existence of a function satisfying zero boundary conditions for fractional Laplacian (1d)
- Does taking a fractional derivative remove a fractional amount of Holder regularity?
- Fractional derivatives of the power function between a=0 and a=-1
- complex integral / fractional derivative verification
- Fractional reaction diffusion equation
- Fractional calculus reference for hypercyclicity of fractional derivative.
- How do discrete factional order functions look like?
- What's Fractional Partial Differential Equation and its application.
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?