Some Fourier integral theorems
نویسندگان
چکیده
منابع مشابه
Some Stability Theorems for Nonharmonic Fourier Series
The theory of nonharmonic Fourier series in L2(-ir,tr) is concerned with the completeness and expansion properties of sets of complex exponentials {e'x"'}. It is well known, for example, that the completeness of the set {e'x"'} ensures that of {e'^"'} whenever 2 lA„ ~~ M»l < oo. In this note we establish two results which guarantees that if {elX"'} is a Schauder basis for l}(—n, it), then [e'^"...
متن کاملLiouville-Type Theorems for Some Integral Systems
/2 ( ) ( ) u u where is the Fourier transformation and its inverse. The question is to determine for which values of the exponents pi and qi the only nonnegative solution (u, v) of (1) and (2) is trivial, i.e., (u; v) = (0, 0). When 2 , is the case of the Emden-Fowler equation 0 , 0 u u u k in N (5) When ) 3 )( 2 /( ) 2 ( 1 N N N k , it has been prove...
متن کاملSome Theorems on Conditional Pasta : A Stochastic Integral
In this note, the \conditional pasta theorem" of van Doorn and Regterschot is proved under more general conditions and via a stochastic integral approach of independent interest. The limit theorems here require less restrictive assumptions and are shown for a wider class of arrival processes. Applications are also presented for particular cases of continuous and discrete-time arrivals.
متن کاملBilinear Fourier integral operator and its boundedness
We consider the bilinear Fourier integral operatorS(f, g)(x) =ZRdZRdei1(x,)ei2(x,)(x, , ) ˆ f()ˆg()d d,on modulation spaces. Our aim is to indicate this operator is well defined onS(Rd) and shall show the relationship between the bilinear operator and BFIO onmodulation spaces.
متن کاملBilinear Fourier Integral Operators
We study the boundedness of bilinear Fourier integral operators on products of Lebesgue spaces. These operators are obtained from the class of bilinear pseudodifferential operators of Coifman and Meyer via the introduction of an oscillatory factor containing a real-valued phase of five variables Φ(x, y1, y2, ξ1, ξ2) which is jointly homogeneous in the phase variables (ξ1, ξ2). For symbols of or...
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: Kodai Mathematical Journal
سال: 1959
ISSN: 0386-5991
DOI: 10.2996/kmj/1138844159