The second edition of Some Random Series of Functions, covers random series in Banach and Hilbert spaces, random Taylor or Fourier series, Brownian motion and other Gaussian processes, plus certain ...

[Electroagenda] explains the Hilbert transform, which is often used to generate single-sideband signals. The math behind the transformation is pretty hairy. However, if you understand the Fourier ...

We’ve seen many graphical and animated explainers for the Fourier series. We suppose it is because it is so much fun to create the little moving pictures, and, as a bonus, it really helps ...

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A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...

In this unit we focus on Banach spaces and especially Hilbert spaces - complete vector spaces equipped with an inner product - and linear maps between Hilbert spaces. Applications of the theory we ...

Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number... Modular forms are tremendously important in ...

Concepts of orthogonality and Gramm-Schmidt orthogonalization procedure. Fourier series and Fourier transforms (FT): convergence properties; applications to linear systems including modulation, ...

The Math 8806-8807 sequence will cover the following topics: Group Theory (Group actions, Sylow, Nilpotent/Solvable, simple groups, Jordan-Holder series, presentations); commutative algebra ... MATH ...

Astronauts filmed over 200 hours of footage capturing their life in space. The series includes the first-ever scenes in outer space captured in immersive 3D, 360 cinematic virtual reality format.

By Jonathan O’Callaghan Prada and Axiom Space unveiled their NASA spacesuits, in the most far-out collaboration yet. By Vanessa Friedman Astronomers have yet to confirm the existence of ...