Sentence examples for fundamental result in the theory of from inspiring English sources

A fundamental result in the theory of Hardy spaces of analytic matrix and operator valued functions on the unit disk is inner-outer factorization.

An early fundamental result in the theory of accretive operators, due to Browder [1].

One fundamental result in the theory of deterministic fronts is the difference between fronts propagating into a linearly unstable (zero) state and those propagating into a metastable state (a state that is linearly stable but nonlinearly unstable).

A fundamental result in the theory of polyharmonic functions is the celebrated Almansi theorem [1 3], which shows that for any polyharmonic function of degree in a starlike domain in with center, that is, (1.1).

An early fundamental result in the theory of accretive operators, due to Browder [1], states that IVP (1.1) is solvable if A is locally Lipschitz and accretive on E. One of the most popular techniques for solving zero points of accretive operators is the proximal point algorithms, which have been studied by many authors; see [2 27] and the references therein.

An early fundamental result in the theory of accretive operators, due to Browder [1], states that the initial value problem is solvable if A is locally Lipschitz and accretive on E. One of the most popular techniques for solving zero points of accretive operators is the proximal point algorithm, which was proposed by Martinet [2, 3] and generalized by Rockafellar [4, 5].

It is well known that the classical contraction mapping principal of Banach is one of the most useful and fundamental results in the theory of fixed point.

In order to use the fixed point theory, we should introduce a fundamental result in the fixed point theory.

We recall a fundamental result in the fixed point theory.

A fundamental result in information theory is the Whittaker-Kotel'nikov-Shannon (WKS) sampling theorem [1 3].

We recall two fundamental results in the fixed-point theory.