Huygens' principle for wave equations on symmetric spaces

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Huygens’ Principle for Dirac Operators and Nonlinear Evolution Equations

We exhibit a class of Dirac operators that possess Huygens’ property, i.e., the support of their fundamental solutions is precisely the light cone. This class is obtained by considering the rational solutions of the modified Korteweg-de Vries hierarchy.

متن کامل

The Paley-wiener Theorem and the Local Huygens’ Principle for Compact Symmetric Spaces

We prove a Paley-Wiener Theorem for a class of symmetric spaces of the compact type, in which all root multiplicities are even. This theorem characterizes functions of small support in terms of holomorphic extendability and exponential type of their (discrete) Fourier transforms. We also provide three independent new proofs of the strong Huygens’ principle for a suitable constant shift of the w...

متن کامل

Uniform Boundedness Principle for operators on hypervector spaces

The aim of this paper is to prove the Uniform Boundedness Principle and Banach-Steinhaus Theorem for anti linear operators and hence strong linear operators on Banach hypervector spaces. Also we prove the continuity of the product operation in such spaces.

متن کامل

Wave-front engineering by Huygens-Fresnel principle for nonlinear optical interactions in domain engineered structures.

Wave-front engineering for nonlinear optical interactions was discussed. Using Huygens-Fresnel principle we developed a general theory and technique for domain engineering with conventional quasi-phase-matching (QPM) structures being the special cases. We put forward the concept of local QPM, which suggests that the QPM is fulfilled only locally not globally. Experiments agreed well with the th...

متن کامل

Generalized Huygens principle with pulsed-beam wavelets

Huygens’ principle states that the solution of the wave equation radiated by a bounded source can be represented outside the source region as a superposition of spherical ‘Huygens wavelets’ radiated by secondary point-sources on a surface enclosing the primary source. This was originally proposed as a geometrical explanation of wave propagation, but as such it is conceptually problematic becaus...

متن کامل

ذخیره 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 Functional Analysis

سال: 1992

ISSN: 0022-1236

DOI: 10.1016/0022-1236(92)90108-u