# Tagged Questions

The tag has no usage guidance.

43 views

### How can i integral of this function? [on hold]

I want to know how can i solve this function. $\int (1-y^d)^n \, dy$ Is it possible to solve it? If you know the method, please teach me.
141 views

46 views

### Possibility Of Curvature and/or Mellin based approach to (Non-linear) system Identification?

I have some experience in non-linear system identification (from an experimental point of view) using higher oder spectral analysis. I see this is the most popular way of identifying non-linearities ...
197 views

### Physical interpretation of the mellin transform variable?

I shall keep this to the point: Given a time domain signal say microphone recording of a conversation: Laplace tranfrom of x is some function X(s) say defined in the complex plane. I like to think ...
56 views

### Conditions for Mellin inversion

Under which conditions is the function $$g(s)=a^{c(s-1)}\Gamma(s),\qquad a>0,c\in \mathbb{R}$$ the Mellin transform of a probability density function $f$? If $c=-1$, then $f$ is the exponential ...
61 views

58 views

105 views

194 views

### Kernel of the Radon transform

Consider the following generalized version of the Radon transform. Let $X,Y,Z$ be compact smooth manifolds. Let $p\colon Z\to X$, $q\colon Z\to Y$ be smooth maps. Let $m$ be a fixed smooth density (...
147 views

### Asymptotics of Fresnel integrals

It is known that \begin{equation*} I(p) = \sqrt { \frac {4 \mathrm{i} p} {\pi}}\int \limits _{-\infty} ^{\infty} \mathrm{e}^{- \mathrm{i} p x^2} \varphi (x) \mathrm{d}x \end{equation*} is a bounded ...
154 views

### Motivating the Bessel translation operator

In a paper I am reading on the Hankel transform (this paper to be exact), I've come across a somewhat peculiar definition for a generalized translation operator. The operator is designed with a ...
173 views