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A function f(x) is said to be square integrable if int_(-infty)^infty|f(x)|^2dx is finite.

Let A be a C^*-algebra, then a state is a positive linear functional on A of norm 1.

The sum rule for differentiation states d/(dx)[f(x)+g(x)]=f^'(x)+g^'(x), (1) where d/dx denotes a derivative and f^'(x) and g^'(x) are the derivatives of f(x) and g(x), ...

Asserts the existence and uniqueness of the extremal quasiconformal map between two compact Riemann surfaces of the same genus modulo an equivalence relation.

The set of rules for manipulating and calculating with tensors.

The trace of a second-tensor rank tensor T is a scalar given by the contracted mixed tensor equal to T_i^i. The trace satisfies ...

Tetradics transform dyadics in much the same way that dyadics transform vectors. They are represented using Hebrew characters and have 81 components (Morse and Feshbach 1953, ...

Let phi(z)=cz+c_0+c_1z^(-1)+c_2z^(-2)+... be an analytic function, regular and univalent for |z|>1, that maps |z|>1 conformally onto the region T preserving the point at ...

The algebra structure of linear functionals on polynomials of a single variable (Roman 1984, pp. 2-3).

A unilateral shift is a weighted shift T for which alpha_n=1 for all n.