Fourier transforms of the delta function on the surface

"In this dissertation work it is considered basic property of the delta function. The main task of the thesis is the behavior of the Fourier transform of the delta functions supported on surfaces. We consider the Fourier transform which is a distribution in the general case and also it has analytic continuation to the complex space. But, in general the Fourier transform is not integrable in general. We obtain a lower bound for the summation exponent of the Fourier transform of the delta function on the surface. The bound also gives lower bound for the summation exponent for the corresponding oscillatory integral."