Sentence examples for symbol function from inspiring English sources

According to (15), the criterion for minimum out-band radiation can be transformed into the problem of unraveling the symbol function a(t) when minimizing the Pan-functional J [7].

Given an appropriate symbol function, we consider the associated Hankel operator together with the Hankel operator associated with that symbol function's complex conjugate.

Consider the Hankel operator Hf="(1−P Mf|H2(S), where the symbol function f is allowed to be arbitrary in L2 S,dσ).

Let Tf denote the Toeplitz operator with symbol function f on the Bergman space L2a(B,dv) of the unit ball in Cn.

The analytic index of a generalized Toeplitz operator defined in terms of a trace is shown to be equal to minus the topological index of the symbol function of the operator, a result that extends some well-known index theorems.

We consider iterated commutators of multiplication by a symbol function and smooth Calderón Zygmund operators, described by Fourier multipliers of homogeneity 0. We establish a criterion for a collection of symbols so that the corresponding Calderón Zygmund operators characterize product BMO by means of iterated commutators.

Davies adopts Nelson Goodman's account of symbolic functions that are aesthetic (a symbol functions aesthetically when it is syntactically dense, semantically dense, syntactically replete, and characterized by multiple and complex reference, which he takes to clarify the conditions under which a practice of making is a practice of artistic making (Davies 2004, Goodman 1968).

A notion of topological index for the continuous symbol functions of generalized Toeplitz operators is introduced.

Starting with the Segal Bargmann space, we investigate the Hankel operators with symbol functions in a certain linear space.

Upon examination, each symbol system reflects a specific cultural logic, and every symbol functions to communicate information between members of the culture in much the same way as, but in a more subtle manner than, conventional language.

We formulate the solution of the equation ∂k + 1F = f with minimum L2 norm and characterize the symbol functions so that the corresponding middle Hankel operators are bounded, compact, and belong to the Schatten p-class (p ≥ 1).