Spectral mapping theorem in max algebraPower series in max algebraContinuityWe give new proofs of several fundamental results of spectral theory in max algebra. This includes the description of the spectrum in max algebra of a given non-negative matrix via local spectral radii, the spectral theorem...
On the prime spectrum of the enveloping algebra and characteristic varieties. To Appear in the J - Papalexiou () Citation Context ...he enveloping algebra of a reductive Lie algebra g over F. Starting with the pioneering work of Soergel ([Soe90]), there has been some effort to understand...
We present some results about the irreducible representations appearing in the exterior algebra $$\Lambda \mathfrak {g}$$ , where $$\mathfrak {g}$$ is a si
The Jacobson topology on the spectrum of the C * -algebra W(Λ) generated by the Wiener-Hopf operators in a cone Λ n is described in geometric terms (Λ is assumed to satisfy a certain "local rectifiability" condition). The composition series for the algebra W(Λ) are determined, and...
One real-world consequence of this was the “green gap“; while reasonably efficient LED designs were available in the blue and red portions of the spectrum, there was not a suitable design that gave efficient output in the green spectrum. Given that many applications of LED lighting required ...
This paper shows that the inverse chirp z-transform (ICZT), which generalizes the inverse fast Fourier transform (IFFT) off the unit circle in the complex plane, can also be used with chirp contours that perform partial or multiple revolutions on the uni
So, the non-odd-bipartite even uniform hypergraphs are more interesting on distinguishing the Laplacian spectrum and signless Laplacian spectrum and studying the non-symmetric adjacency spectrum. Hu, Qi and Shao [10] introduced the cored hypergraphs and the power hypergraphs, where the cored ...
Furthermore, we completely describe the spectrum of 1-error linear complexity with any given zone length. This can help us to obtain the exact counting functions of the (N, k; Z, 0)-error linear complexity for any 2n-periodic binary sequence. Moreover, we found two more classes of ...
control avalanche photodiode (Thorlabs APD120A, Extended Data Fig.1f). The MW field, generated via an LMX2820 phase-locked loop frequency synthesizer, was coupled to the antenna and spectrum analyser (Agilent N9010A EXA) used for relative references of the field amplitude (Extended Data Fig.1...
cocycle associated to the generating functional of the process (see [ 13 ]). on the other hand, a general construction of completely dirichlet forms on the standard form of a \(\sigma \) -finite von neumann algebra with respect to a faithful, normal state in the sense of [ 8 , 9 ,...