mξ- Ultradistributions , linear mξ- discontinuous mξ- differential mξ- equations , microlocal study by ind-sheaves 1 : microsupport regularity , microlocal Euler-Cojan classes , Hochild-Cojan mξ-homology ,extensions results from a method for evaluating fractional mξ-discontinuous mξ-integrals and applications

Description

Eiter in the upper half plane or in the lover such that  Sup , (x,t,z)  , |

{ (L /|(y,t,z)  , then we have   ^{– 1} ( ₂) ₁> } |

(L  / (y₁ , t₁ , z₁)( ) } ; hence  _jk) ^j  ,

the desired  result , (  Then  SS( _j) _k) _p)  if  { j , k , p }

, 3 ) is obvious using  condition  (3b) , Let  ^b(k( X))   it  is

regular . Let  V ^* X  and let  ^*

^b(

^b(

Let  p( X) ^{– 1} (p( X)) , there exist an open neighborhood  U  

( Y) of p( Y)  in  _j) ,

. For an open subset  U

an open subanalytic subset of  W ¹( )  with  +

sitive  constants  C  and  A  such  that  exp(x,t,z) ²+t² +y²+z²)⁴  on  W  , then there e

xists a constant   B  such that  _{1 2   3 4 2}

_{1 2 3 4} ⁰ _{2 2    1 2   3   4}  ^{– 1} _{1   2   3   4} ^{– 1} ₁

_{2   3   4}

N_{2 2}   of  analytic  manifolds , an  object    ^b( ² ( ))  and  a

discontinuous  morphism   ^{– 1 !}

N_{2 2 2 2}  ^{– 1} (S) ^{– 1} (S) , we get the

₂ ^! _{4 td,sd,} M₂  .