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searching for Cayley transform 5 found (39 total)

Uniformly bounded representation (3,555 words) [view diff] exact match in snippet view article find links to article

can be realized on functions on the circle or on the real line: the Cayley transform provides the unitary equivalence between the two realizations. In fact

Hilbert transform (7,888 words) [view diff] exact match in snippet view article find links to article

correspondence. Another more direct connection is provided by the Cayley transform C(x) = (x – i) / (x + i), which carries the real line onto the circle

Mutation (Jordan algebra) (15,817 words) [view diff] exact match in snippet view article

there is no action of PSL(2,C) on X, so no analogous Cayley transform. A partial Cayley transform can be defined in that case for any given maximal tripotent

Beltrami equation (10,901 words) [view diff] exact match in snippet view article find links to article

since the two regions are related by a Möbius transformation (the Cayley transform), the two cases are essentially the same. For the upper halfplane Im

Infinitesimal rotation matrix (2,787 words) [view diff] exact match in snippet view article find links to article

skew-symmetric matrices to rotation matrices is quite different from the Cayley transform discussed earlier, differing to 3rd order, e 2 A − I + A I − A = −