Spherical T-duality and the spherical Fourier–Mukai transform
نویسندگان
چکیده
منابع مشابه
Spherical T-duality II: An infinity of spherical T-duals for non-principal SU(2)-bundles
Recently we initiated the study of spherical T-duality for spacetimes that are principal SU(2)-bundles [5]. In this paper, we extend spherical T-duality to spacetimes that are oriented non-principal SU(2)-bundles. There are several interesting new examples in this case and a new phenomenon appearing in the non-principal case is the existence of infinitely many spherical T-duals.
متن کاملSpherical Harmonic Transform Algorithms
A collection of MATLAB classes for computing and using spherical harmonic transforms is presented. Methods of these classes compute differential operators on the sphere and are used to solve simple partial differential equations in a spherical geometry. The spectral synthesis and analysis algorithms using fast Fourier transforms and Legendre transforms with the associated Legendre functions are...
متن کاملSpherical Functions and Spherical Laplace Transform on Ordered Symmetric Space
Let G=H be a semisimple globally hyperbolic symmetric space and let ' be a H-spherical function on G=H. We derive an expansion formula for ' similar to the Harish-Chandra formula for spherical functions on a Riemannian symmetric space. We use this result to analytically continuate the spherical functions in the parameters. A functional equation for ' is derived and then used to invert the spher...
متن کاملSpherical Harmonic Transform with GPUs
We describe an algorithm for computing an inverse spherical harmonic transform suitable for graphic processing units (GPU). We use CUDA and base our implementation on a Fortran90 routine included in a publicly available parallel package, shat. We focus our attention on the two major sequential steps involved in the transforms computation, retaining the efficient parallel framework of the origin...
متن کاملSpherical wavelet transform for ODF sharpening
The choice of local HARDI reconstruction technique is crucial for discerning multiple fiber orientations, which is itself of substantial importance for tractography, and reliable and accurate assessment of white matter fiber geometry. Due to the complexity of the diffusion process and its milieu, distinct diffusion compartments can have different frequency signatures, making the HARDI signal sp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2018
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2018.07.020