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37 Questions

How to construct examples of functions in the Spaces of type $\mathcal{S}$

What exacty is the role played by Jacobian or Wronskian?

Is there a difference between transform and transformation?

Does the integral $\int_{a}^{b}\frac{dx}{\sqrt{(x-a)(x-b)}}$ exist?

What is $\inf\emptyset$ and $\sup\emptyset$? [duplicate]

Laplace transform of functions related to type $\mathcal{S}$, and the relation to entire functions

A Hausdorff space which is not completely regular

Existence of the integral $\int_{0}^{\pi}\frac{\sin (x+\sqrt x)}{\cos(x-\sqrt x)} dx$

Solving a PDE geometrically

Verifying solution of Heat Equation

Reference request for a particular type of evolutionary problems

To verify Lipschitz continuity of the given function $f$.

Doubt about inequalities

Show that $0!=1$ [duplicate]

If a function is both upper and lower semicontinuous, does it have to be continuous?

Constructing a Differential Structure

Doubts related to Differential Operator of Infinite order

What exactly is integration?

Possible existence of weight function $\rho (t)$

Solving the following Volterra Integral Equation?

Doubts on Differentiation in $\mathbb{R}^p$

If a linear transformation $T$ is nilpotent, show that $\alpha_0+\alpha_1T+…+\alpha_kT^k$ is invertible

How to show that $1$-laplacian $\Delta_1$ is elliptic?

What is $\int x! $ $ dx$?

Revising n dimensional calculus

Numerical solution of the Volterra equation with an exponential factor

Correcting the MATLAB code

Association of PDE's with Integral Equations?

Linear Transformations on Infinite Dimensional Vector Spaces

Permutation matrices