An analogue of the correspondence betweenGL(k)-conjugacy classes of matricial polynomials and line bundles is given for K-conjugacy classes, where K ⊂ GL(k) is one of the following: maximal parabolic, maximal torus, GL(k − 1) embedded diagonally. The generalised Legendre transform construction of hyperkähler metrics is studied further, showing that many known hyperkähler metrics (including the ...

We prove sharp mixed norm inequalities for the k-plane transform when acting on radial functions and for potential-like operators supported in k-planes. We also study the Hardy-Littlewood maximal operator on k-planes for radial functions for which we obtain a basic pointwise inequality with interesting consequences. §

We discuss the Heisenberg uncertainty inequality for groups of the form K Rn , K is a separable unimodular locally compact group of type I. This inequality is also proved for Gabor transform for several classes of groups of the form K Rn . Mathematics subject classification (2010): Primary 43A32; Secondary 43A30, 22D10, 22D30, 22E25.

It is shown that for any expansive, integer valued 2×2 matrix, there exists a (multi-)wavelet whose Fourier transform is compactly supported and smooth. A key step is showing that for almost every equivalence class of integrally similar matrices there is a representative A which is strictly expansive in the sense that there is a compact set K which tiles the plane by integer translations and su...

In this p%er, we present a new formulation for converting a length-N( = 2 ) Discrete Cosine Transform into two length-N/2 correlations. This formulation enables us to realise the Discrete Cosine Transform with a reduced number of operations compared to conventional approaches and it also results in extremely regular structure which is most witable for the realisationusing distributed arithmetic...

There are many motivations for the discrete Fourier transform. Those of you in computer science have probably encountered them first in signal processing and perhaps further in cool theory results like switching lemmas. Those of you in physics have definitely encountered the continuous fourier transform, most likely first in quantum theory where we learn that the fourier transform goes between ...

From the discrete radon transform (DRT), R(t, m) of a p x p image I(x, y), intensity at (t, m) results from the sum of intensities, I of elements, (x, y) along a projection of x = my + t (mod p), the resultant transform of the image presented has an averaging effect. If information is required for a subset of the image, it cannot be extracted from transform of the complete image. It is therefor...

in the present study solid dispersions of the antifungal drug ketoconazole were prepared with pluronic f-127 and pvp k-30 with an intention to improve its dissolution properties. investigations of the properties of the dispersions were performed using release studies, differential scanning calorimetery (dsc), x-ray powder diffraction (xrd) and fourier transform infrared (ftir). the results obta...

If H denotes the classical Hilbert transform and Hu(x) = v(x), then the functions u(x) and v(x) are the values on the real axis of a pair of conjugate functions, harmonic in the upper half-plane. This note gives a generalization of the above concepts in which the Laplace equation Deltau = 0 is replaced by the Yukawa equation Deltau = mu(2)u and in which the Cauchy-Riemann equations have a corre...