Unique continuation of microlocally analytic functions and their structure

References

• Kaneko , A . 1988 . Introduction to hyperfunctions. translator Yamamoto Y , Dordrecht, Boston , , London : Kluwer Academic Publishers .
   Google Scholar
• Kaneko , A . 1978 . Remarks on hyperfunctions with analytic parameters II . J Fac Sci Univ Tokyo Sect 1A , 25 : 67 – 73 .
   Google Scholar
• Tanabe , S and Takiguchi , T . 1993 . A local vanishing theorem for ultradistributions with analytic parameters . J Fac Sci Univ Tokyo Sect 1A , 40 : 607 – 621 .
   Google Scholar
• Komatsu , H . 1973 . Ultradistributions, I, structure theorems and characterization . J Fac Sci Univ Tokyo Sect 1A , 20 : 25 – 105 .
   Web of Science ®Google Scholar
• Komatsu , H . 1977 . Ultradistributions, II, the kernel theorem and ultradistributions with support in a submanifold . J Fac Sci Univ Tokyo Sect 1A , 24 : 607 – 628 .
   Google Scholar
• de Roever , JW . 1984 . Hyperfunctional singular support of ultradistributions . J Fac Sci Univ Tokyo Sect 1A , 31 : 585 – 631 .
   Google Scholar
• Schwartz , L . 1966 . Théorie des distributions (Nouvelle édition) , Paris : Hermann .
   Google Scholar
• Braun , RW . 1993 . An extension of Komatsu's second structure of theorem for ultradistributions . J Fac Sci Univ Tokyo Sect 1A , 40 : 411 – 417 .
   Google Scholar
• Kaneko , A . 1972 . Representation of hyperfunctions by measures and some of its applications . J Fac Sci Univ Tokyo Sect 1A , 19 : 321 – 352 .
   Web of Science ®Google Scholar
• Kaneko , A . 1972 . On the structure of Fourier hyperfunctions . Proc Japan Acad , 48 : 651 – 653 .
   Google Scholar
• Chung , S-Y and Kim , D . 1993 . Representation of quasianalytic ultradistributions . Arkiv Mat , 31 : 51 – 60 .
   Web of Science ®Google Scholar
• Takiguchi , T . 2007 . Structure of quasi-analytic ultradistributions . Publ RIMS Kyoto Univ , 43 : 425 – 442 .
   Web of Science ®Google Scholar
• Boman , J . 2000 . Uniqueness and non-uniqueness for microanalytic continuation of ultradistributions . Contemp Math , 259 : 61 – 82 .
   Google Scholar
• Takiguchi , T . 2009 . On the structure of generalized functions . Complex Variables Elliptic Eqns , 54 : 745 – 756 .
   Web of Science ®Google Scholar
• Takiguchi , T . 2005 . “ Uniqueness and non-uniqueness of generalized functions with microlocal regularity ” . In In Microlocal analysis and related topics , Vol. 1431 , 137 – 144 . Kyoto, Japan : RIMS Kôkyûroku .
   Google Scholar
• Beuring , A . 1972 . Analytic continuation across a linear boundary . Acta Math , 128 : 153 – 182 .
   Web of Science ®Google Scholar
• Chou , CC and Marti , JA . 1979 . Un théorèm d'unicité sur les hyperfonctions régulières par rapport à une des variables . C R Acad Sci , 288 : 493 – 495 .
   Google Scholar