Sentence examples for basis properties from inspiring English sources

Now we study some basis properties of the system (1).

Basis properties of this system in Lebesgue spaces with variable summability exponent are investigated.

In this paper basis properties of the system (1) in L p t spaces are investigated.

The basis properties of other some operators with regular but not strongly regular boundary conditions are studied in [20 23].

Basis properties of some trigonometric systems and other systems of functions (Haar system, classical system of Legendre, etc).

Some recent developments of higher order differential operators whose boundary conditions depend on the eigenvalue parameter, including spectral asymptotics and basis properties, have been investigated in [1 4].

On a month-on-month basis, property values increased by 1.6% across the UK between June and July.

Besides, some conditions which imply the absence of the Riesz basis property were presented in [8].

Summing up all facts, the basis property stated in the theorem finally follows according to (2.15).

This lemma will be used in Section 4 in order to prove the Riesz basis property of wavelets.

where ({boldsymbol {Y}:mathbb {R}^{hat {H}} mapsto mathbb {R}^{M}}) is the matrix that satisfies an orthonormal basis property.