I have stumbled upon the notion of a $K$-valued Haar integral on a locally compact group, where $K$ is a non-Archimedean field, as well as the $K$-valued modular function, in an article of Schikhof. He cites his thesis "Non-archimedean harmonic analysis", but I have not been able to find that book anywhere. Is there any other more accessible reference where I could read about this? I am particularly interested in the $p$-adic case.
2026-02-22 23:23:30.1771802610
Reference for $p$-adic Haar integral
90 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in REFERENCE-REQUEST
- Best book to study Lie group theory
- Alternative definition for characteristic foliation of a surface
- Transition from theory of PDEs to applied analysis and industrial problems and models with PDEs
- Random variables in integrals, how to analyze?
- Abstract Algebra Preparation
- Definition of matrix valued smooth function
- CLT for Martingales
- Almost locality of cubic spline interpolation
- Identify sequences from OEIS or the literature, or find examples of odd integers $n\geq 1$ satisfying these equations related to odd perfect numbers
- property of Lebesgue measure involving small intervals
Related Questions in P-ADIC-NUMBER-THEORY
- How does one define an inner product on the space $V=\mathbb{Q}_p^n$?
- Can $\mathbb{Z}_2$ be constructed as the closure of $4\mathbb{Z}+1$?
- Number of points in reduction of a p-adic analytic manifold.
- How do I translate functions on the Prufer 2-group between functions on the $2^n$ roots of unity and the dyadic fractions modulo 1?
- Hensel Lemma and cyclotomic polynomial
- orbit representatives for the group of unipotent matrix acting on the set of skew-symmetric matrices
- Homomorphic images of $p$-adic integers
- Criteria for a cubic polynomial in $\Bbb Q[x]$ to split completely over $\Bbb Q_p$
- What do the elements of the affinoid algebra $A=K\langle x, y\rangle/(y-\pi x)$ look like?
- Find $\frac{a}{b} \in \mathbb{Q}$ such that $ |\,\frac{a}{b} - \sqrt{2}|_3 < \epsilon $
Related Questions in LOCALLY-COMPACT-GROUPS
- Locally Compact Hausdorff Topologial Group but not Sequential?
- existence of weak* continuous means for amenable locally compact groups
- Decomposition of $L^2(S^1)$
- How can I prove that $\bigcap\limits_{n=0}^{+\infty} \Gamma_{j,n}=\emptyset$?
- Integral converges "$UZg$ is closed in $G$"
- A small problem on the annihilators of some subgroups
- Samuel compactification of the real line
- Every quasicharacter of an open subgroup extends to a quasicharacter of the group
- The measurability of convolution in locally compact group
- Convolution of a function and a measure.
Related Questions in HAAR-MEASURE
- Comparing measures in finite dimensional complex vector spaces
- Convolution of a function and a measure.
- Relationship between the induced measure on an orbit and Hausdorff measure on the orbit
- When does $0=\int f(x)\psi(x)\,dx$ for all $f\in L^1(G)$ imply that $\psi=0$
- Inverse map preserving positivity with Haar measure?
- Finite measure fundamental domain for a discrete group implies it's a lattice
- Does Haar measure have such property?
- Haar measure of $p$-adic integers with valuation 0 modulo 3
- Sufficient condition for Radon measure be Haar measure
- Orthogonal group representation induces an isometry on $L^p$ spaces
Related Questions in NONARCHIMEDIAN-ANALYSIS
- Example of a Map of Banach Spaces over a Non-Archimedian Field with Non-Closed Image
- Consider the p-adic field $ \ \mathbb{Q}_p \ $ . Define $ \operatorname{ord}_p(x) \ $ to be the p-adic valuation of $ \ x \ $
- How to write disc of convergence in $ (1) $ in the following form $ |x|_p < K $
- Does the above non-Archimedean but ordered field satisfy Nested interval property?
- Structure of units in unramified extension of $\mathbb{Q}_2$
- $p$-adic power series and its maximum in the unit ball
- An equality of polynomials
- Reference Request: Manifold theory when $\mathbb{R}$ is replaced by a complete ordered field
- Why does $f(x_n)\rightarrow 0$ imply that a subsequence converges to zero of $f$?
- unit ball in $\mathbb C_p$ as an inverse limit
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?
You will find it in the following link:
https://repository.ubn.ru.nl/bitstream/handle/2066/107512/mmubn000001_234785616.pdf?sequence=1