Beurling–Lax theorem

In mathematics, the Beurling–Lax theorem is a theorem due to harvtxt|Beurling|1949 and harvtxt|Lax|1959 which characterizes the shift-invariant subspaces of the Hardy space $H^2(mathbb{D},mathbb{C})$ . It states that each such space is of the form

: $heta H^2(mathbb{D},mathbb{C}),$

for some inner function $heta$ .

References

Wikimedia Foundation. 2010.

Игры ⚽ Поможем сделать НИР

Look at other dictionaries:

List of mathematics articles (B) — NOTOC B B spline B* algebra B* search algorithm B,C,K,W system BA model Ba space Babuška Lax Milgram theorem Baby Monster group Baby step giant step Babylonian mathematics Babylonian numerals Bach tensor Bach s algorithm Bachmann–Howard ordinal… … Wikipedia
List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… … Wikipedia
Composition operator — For information about the operator ∘ of composition, see function composition and composition of relations. In mathematics, the composition operator Cϕ with symbol ϕ is a linear operator defined by the rule where denotes function composition. In… … Wikipedia

Academic Dictionaries and Encyclopedias

Beurling–Lax theorem

Look at other dictionaries:

Share the article and excerpts

Academic Dictionaries and Encyclopedias

Wikipedia

Beurling–Lax theorem

Look at other dictionaries:

Share the article and excerpts

Direct link