Hardy space H^2 of the unit disk
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Hardy_space
function space |
| gptkbp:basisFor |
monomials z^n, n ≥ 0
|
| gptkbp:consistsOf |
holomorphic functions
|
| gptkbp:contains |
all polynomials
|
| gptkbp:definedIn |
gptkb:unit_disk
|
| gptkbp:functionsAre |
analytic in the unit disk
|
| gptkbp:functionsHave |
square-integrable boundary values
|
| gptkbp:hasDual |
itself (self-dual)
|
| gptkbp:hasInnerProduct |
sum of products of Taylor coefficients
|
| gptkbp:hasSubgroup |
gptkb:Hardy_space_H^p_of_the_unit_disk
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hardy space H^2 of the unit disk
|
| gptkbp:importantFor |
complex analysis
harmonic analysis operator theory |
| gptkbp:isHilbertSpace |
true
|
| gptkbp:multiplicationOperator |
shift operator
|
| gptkbp:namedAfter |
gptkb:G._H._Hardy
|
| gptkbp:normDefinedBy |
square-summable Taylor coefficients
|
| gptkbp:notation |
H^2(D)
|
| gptkbp:reproducingKernel |
gptkb:Szegő_kernel
|
| gptkbp:bfsParent |
gptkb:Beurling's_theorem
|
| gptkbp:bfsLayer |
7
|