Recent content by greentea28a

is it possible to work backwards from a spectrum to which operator?

Hi, http://en.wikipedia.org/wiki/Pompeiu_problem Can someone rephrase the problem so I better understand its meaning? And has it been solved? Solution to Pompeiu Problem http://arxiv.org/abs/1304.2297 Thanks PS. does this problem have anything to do with Navier-Stokes?

I believe the above problem is the core of the Navier-Stokes equation. It describes the inner working of the NS equations from a mathematical operator's point-of-view. I have studied bornology from Hogbe-Nlend's books Bornology and Functional Analysis; Nuclear and Conuclear Spaces. According to...

Hi, Half of the Riemann Hypothesis is solved by meromorphic functions. The other half, non-trivial zeros should lie on a critical line needs your creative work. Can someone direct me to sites or papers with the previous in mind? Best

The following is a problem statement. locally bounded (or locally (weakly) compact) differential operators of the Schwartz space of smooth functions on a sigma-compact manifold I realize this is very abstract. I expect the solution to be just as abstract. Thanks in advance.

Do you know if Schwartz space fits the Navier-Stokes equations?

PDEs model physical systems. All systems are subjected to nonlinear turbulence. I am wondering if Schwartz space is suitable for modeling general PDEs.

I learned all about Schwartz space in a book called Nuclear and Conuclear Spaces, Herni Hogbe-Nlend, Chapter 1.

Is there a hole in knowledge as to the origins of PDEs? If there is a void, is Schwartz space a suitable basis? Schwartz spaces are intermediate between general spaces and nuclear spaces. Infra-Schwartz spaces are intermediate between Schwartz spaces and reflexive spaces.