Get it on Google Play
New! Download Unionpedia on your Androidâ„¢ device!
Faster access than browser!
And Ads-free!

T(1) theorem

In mathematics, the T(1) theorem, first proved by, describes when an operator T given by a kernel can be extended to a bounded linear operator on the Hilbert space L2(Rn). [1]

9 relations: Adjoint, Annals of Mathematics, Bounded mean oscillation, Bounded operator, Distribution (mathematics), Hilbert space, Integral transform, Schwartz space, Springer Science+Business Media.


In mathematics, the term adjoint applies in several situations.

New!!: T(1) theorem and Adjoint · See more »

Annals of Mathematics

The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.

New!!: T(1) theorem and Annals of Mathematics · See more »

Bounded mean oscillation

In harmonic analysis, a function of bounded mean oscillation, also known as a BMO function, is a real-valued function whose mean oscillation is bounded (finite).

New!!: T(1) theorem and Bounded mean oscillation · See more »

Bounded operator

In functional analysis, a branch of mathematics, a bounded linear operator is a linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non-zero vectors v in X. In other words, there exists some M > 0 such that for all v in X The smallest such M is called the operator norm \|L\|_ \, of L. A bounded linear operator is generally not a bounded function; the latter would require that the norm of L(v) be bounded for all v, which is not possible unless Y is the zero vector space.

New!!: T(1) theorem and Bounded operator · See more »

Distribution (mathematics)

Distributions (or generalized functions) are objects that generalize the classical notion of functions in mathematical analysis.

New!!: T(1) theorem and Distribution (mathematics) · See more »

Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

New!!: T(1) theorem and Hilbert space · See more »

Integral transform

In mathematics, an integral transform is any transform T of the following form: The input of this transform is a function f, and the output is another function Tf.

New!!: T(1) theorem and Integral transform · See more »

Schwartz space

In mathematics, Schwartz space is the function space of functions all of whose derivatives are rapidly decreasing.

New!!: T(1) theorem and Schwartz space · See more »

Springer Science+Business Media

Springer Science+Business Media or Springer is a global publishing company that publishes books, e-books and peer-reviewed journals in science, technical and medical (STM) publishing.

New!!: T(1) theorem and Springer Science+Business Media · See more »


[1] https://en.wikipedia.org/wiki/T(1)_theorem

Hey! We are on Facebook now! »