Communication
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# 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]

In mathematics, the term adjoint applies in several situations.

## Annals of Mathematics

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

## 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).

## 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.

## Distribution (mathematics)

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

## Hilbert space

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

## 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.

## Schwartz space

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