difference operator वाक्य

In the absence of work done, a change in internal energy per unit volume in the material, ? " Q ", is proportional to the change in temperature, ? " u " ( in this section only, ? is the ordinary difference operator with respect to time, not the Laplacian with respect to space ).
Among Krantz's research interests are : several complex variables, harmonic analysis, partial differential equations, differential geometry, interpolation of operators, Lie theory, smoothness of functions, convexity theory, the corona problem, the inner functions problem, Fourier analysis, singular integrals, Lusin area integrals, Lipschitz spaces, finite difference operators, Hardy spaces, functions of bounded mean oscillation, geometric measure theory, sets of positive reach, the implicit function theorem, approximation theory, real analytic functions, analysis on the Heisenberg group, complex function theory, and real analysis.