Find link

language:

Find link is a tool written by Edward Betts.

searching for Pointwise convergence 39 found (98 total)

Idris Assani (467 words) [view diff] exact match in snippet view article find links to article

research contributions include pointwise convergence of averages along cubes, being “the first complete pointwise convergence result obtained in the theory

Strong operator topology (489 words) [view diff] exact match in snippet view article find links to article

viewed as more natural, too, since it is simply the topology of pointwise convergence. The SOT topology also provides the framework for the measurable

Topologies on spaces of linear maps (6,521 words) [view diff] exact match in snippet view article find links to article

{\displaystyle F} is called the topology of pointwise convergence. The topology of pointwise convergence on F {\displaystyle F} is identical to the subspace

Algebraic topology (object) (153 words) [view diff] exact match in snippet view article

representations from G to a topological group H is the topology of pointwise convergence, i.e. pi converges to p if the limit of pi(g) = p(g) for every g

Uniform boundedness principle (4,519 words) [view diff] no match in snippet view article find links to article

In mathematics, the uniform boundedness principle or Banach–Steinhaus theorem is one of the fundamental results in functional analysis. Together with the

Real analysis (7,673 words) [view diff] exact match in snippet view article find links to article

convergence, known as pointwise convergence and uniform convergence, that need to be distinguished. Roughly speaking, pointwise convergence of functions f n

Topological ring (1,116 words) [view diff] exact match in snippet view article find links to article

functions on some topological space (where the topology is given by pointwise convergence), or as rings of continuous linear operators on some normed vector

Singular integral operators of convolution type (12,876 words) [view diff] exact match in snippet view article find links to article

and Hf and therefore almost everywhere. Results of this kind on pointwise convergence are proved more generally below for Lp functions using the Poisson

Heaviside step function (1,988 words) [view diff] exact match in snippet view article find links to article

however, pointwise convergence need not imply distributional convergence, and vice versa distributional convergence need not imply pointwise convergence. (However

Fuchsian model (662 words) [view diff] exact match in snippet view article find links to article

faithful and discrete }}\}} and endow this set with the topology of pointwise convergence (sometimes called "algebraic convergence"). In this particular case

Distinguished space (960 words) [view diff] exact match in snippet view article find links to article

\left(X^{\prime \prime },X^{\prime }\right)} (that is, the topology of pointwise convergence on X ′ {\displaystyle X^{\prime }} ). We say that a subset W {\displaystyle

Measurable function (1,329 words) [view diff] exact match in snippet view article find links to article

statement for continuous functions requires stronger conditions than pointwise convergence, such as uniform convergence. Real-valued functions encountered

Lusin's theorem (713 words) [view diff] exact match in snippet view article find links to article

theorem and density of smooth functions. Egorov's theorem states that pointwise convergence is nearly uniform, and uniform convergence preserves continuity

Bellman pseudospectral method (848 words) [view diff] exact match in snippet view article find links to article

pseudospectral method converges at an exponentially fast rate, pointwise convergence to a solution is obtained at very low number of nodes even when

Injective tensor product (8,577 words) [view diff] exact match in snippet view article find links to article

topology of compact convergence; the topology of pointwise convergence; the topology of pointwise convergence on a given dense subset of X . {\displaystyle

Polar set (4,897 words) [view diff] exact match in snippet view article find links to article

-valued functions on X {\displaystyle X} under the topology of pointwise convergence so when X # {\displaystyle X^{\#}} is endowed with the subspace

Brezis–Lieb lemma (689 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-34513-8 Haïm Brézis and Elliott Lieb. A relation between pointwise convergence of functions and convergence of functionals. Proc. Amer. Math. Soc

Empirical distribution function (1,519 words) [view diff] exact match in snippet view article find links to article

{\widehat {F}}_{n}(t)} is consistent. This expression asserts the pointwise convergence of the empirical distribution function to the true cumulative distribution

Gelfand representation (1,778 words) [view diff] exact match in snippet view article find links to article

be given the relative weak-* topology. This is the topology of pointwise convergence. A net {fk}k of elements of the spectrum of A converges to f if

Spectrum of a C*-algebra (1,753 words) [view diff] exact match in snippet view article find links to article

space of representations as a topological space with an appropriate pointwise convergence topology. More precisely, let n be a cardinal number and let Hn

Weak operator topology (1,633 words) [view diff] exact match in snippet view article find links to article

topology, or SOT, on B ( H ) {\displaystyle B(H)} is the topology of pointwise convergence. Because the inner product is a continuous function, the SOT is

Ruixiang Zhang (443 words) [view diff] exact match in snippet view article find links to article

Theorem, using novel techniques to solve Carleson's problem on pointwise convergence of solutions to the Schrödinger equation and solving the two-dimensional

Barrelled space (3,556 words) [view diff] exact match in snippet view article find links to article

equivalent: H {\displaystyle H} is bounded for the topology of pointwise convergence; H {\displaystyle H} is bounded for the topology of bounded convergence;

Dirichlet kernel (1,810 words) [view diff] exact match in snippet view article find links to article

approximate identity of positive elements (hence the failures in pointwise convergence mentioned above). The trigonometric identity ∑ k = − n n e i k x

Banach algebra (2,602 words) [view diff] exact match in snippet view article find links to article

operator norm) of a character is one. Equipped with the topology of pointwise convergence on A {\displaystyle A} (that is, the topology induced by the weak-*

Frank Natterer (1,141 words) [view diff] exact match in snippet view article find links to article

is in possession of numerous patents. In 1975, Natterer proved pointwise convergence of finite element methods. Starting in 1977, he focused on mathematical

M-estimator (2,846 words) [view diff] exact match in snippet view article find links to article

required; an alternate set of assumptions is to instead consider pointwise convergence (in probability) of the objective functions. Additionally, assume

Fejér's theorem (2,712 words) [view diff] exact match in snippet view article find links to article

the proof. In fact, Fejér's theorem can be modified to hold for pointwise convergence. Modified Fejér's Theorem — Let f ∈ L 2 ( − π , π ) {\displaystyle

Poisson boundary (2,285 words) [view diff] exact match in snippet view article find links to article

{K}}_{o}(\cdot ,y)} has a relatively compact image for the topology of pointwise convergence, and the Martin compactification is the closure of this image. A

Dual space (6,857 words) [view diff] exact match in snippet view article find links to article

bounded sets of X, or both have the weak-∗ topology σ(X′, X) of pointwise convergence on X. The transpose T′ is continuous from β(W′, W) to β(V′, V),

Tight span (3,400 words) [view diff] exact match in snippet view article find links to article

since ℓ ∞ {\displaystyle \ell ^{\infty }} convergence implies pointwise convergence. Thus T(X) is compact.) For any function g from X to R that satisfies

Multivariate kernel density estimation (4,225 words) [view diff] exact match in snippet view article find links to article

Op(n−2/(d+4)) where Op denotes order in probability. This establishes pointwise convergence. The functional convergence is established similarly by considering

Glossary of topology (7,583 words) [view diff] exact match in snippet view article find links to article

the natural numbers to the natural numbers, with the topology of pointwise convergence; see Baire space (set theory). Base A collection B of open sets

Arithmetic function (7,508 words) [view diff] exact match in snippet view article find links to article

functions are often represented by series and integrals, to achieve pointwise convergence it is usual to define the value at the discontinuities as the average

Distribution (mathematics) (21,600 words) [view diff] exact match in snippet view article

converges in the weak-* topology (this leads many authors to use pointwise convergence to define the convergence of a sequence of distributions; this is

Dual system (12,267 words) [view diff] exact match in snippet view article find links to article

{\displaystyle Y} is complete in the weak-* topology (i.e. the topology of pointwise convergence). Consequently, when the continuous dual space X ′ {\displaystyle

Iterated limit (7,104 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \left|a_{n,m}-b_{m}\right|<{\frac {\epsilon }{3}}} . By the pointwise convergence, for any ϵ > 0 {\displaystyle \epsilon >0} and n > N 1 {\displaystyle

Transseries (5,723 words) [view diff] exact match in snippet view article find links to article

necessary (also, because we care only about asymptotic behavior, pointwise convergence is not dispositive). Because of the comparability, transseries do

Spaces of test functions and distributions (18,993 words) [view diff] exact match in snippet view article find links to article

only if it converges pointwise (this leads many authors to use pointwise convergence to actually define the convergence of a sequence of distributions;