The name of Joseph Fourier (1768-1830) is largely associated with the mathematical analysis of heat diffusion and methods of solving partial differential equations by means of Fourier series, Fourier ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

We study the boundedness properties, on Lebesgue and Sobolev spaces, of Fourier integral operators associated with canonical relations such that at least one of the projections is a simple (Whitney) ...

Composition operators and Dirichlet series are central topics within functional analysis that bridge operator theory, analytic number theory and complex analysis. At their core, composition operators ...