with distinguished imaginary part produces in a canonical manner a compact continuation of (R,{A,B}). Such a compact continuation is referred to as a hydrodynamic continuation of (R, {A, B} ). The boundary of M parametrizes in a natural way the space of hydrodynamic continuations; i.e., the hydrodynamic continuations have extremal properties.

with distinguished imaginary part produces in a canonical manner a compact continuation of (R,{A,B}). Such a compact continuation is referred to as a hydrodynamic continuation of (R, {A, B} ). The boundary of M parametrizes in a natural way the space of hydrodynamic continuations; i.e., the hydrodynamic continuations have extremal properties.

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