The phrase "a space of functions" is correct and usable in written English.
It can be used in mathematical or programming contexts to refer to a set or collection of functions that share certain properties or characteristics.
Example: "In functional analysis, we often study a space of functions to understand their behavior under various transformations."
Alternatives: "a set of functions" or "a collection of functions".
Let be a space of functions from such that (25).
On the other hand, Bernstein polynomials have been transferred to a space of functions being Lebesgue integrable and Riemann integrable.
Moreover, if is a space of functions defined on, we denote by the class of all functions such that for any.
If F ⊂ L2(S1) is a space of functions defined on S1, we define the space F⊥ to be the subspace of functions F of which are L2(S1) -orthogonal to the functions 1, e1,e1.
Moreover, if X ( F ) is a space of functions defined on F, we denote by X loc ( F ) the class of all functions g : F → R such that ζ g ∈ X ( F ) for all ζ ∈ D ( F ). Furthermore, for g ∈ L p ( A ) ( p ≥ 1 ), we put ω p [ g, A ] ( t ) = sup E ∈ Σ ( A ) | E | ≤ t ∥ g ∥ L p ( E ), t ∈ R +.
The ensemble of all time-dependent enzyme trajectories with the same average concentration constitutes a space of functions.
For a Kähler manifold X, we study a space of test functions W∗ which is a complex version of W1,2.
As an application, we combine such estimates with a new technique to prove the L1-uniqueness of the induced Kolmogorov operator, defined on a space of cylindrical functions.
A meromorphic analogue to the corona problem is formulated and studied and its solutions are characterized as being left-invertible in a space of meromorphic functions.
Similarly, if (L^{2}(mathbf{R}_)) is a space of real functions, we may define Hilbert's integral operator (widetilde{T} L^{2}(mathbf {R}_)rightarrow L^{2}(mathbf{R}_)) as follows.
Let (Omega=D {mathbb {R}}^,H)) be a space of càdlàg functions defined on ({mathbb {R}}^) and with values in H with norm (VertcdotVert_{infty} :=sup_{tin[0,T]}Vertcdot Vert_{H}).
