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A class of pseudo differential operators on the product of two manifolds and applications. (English) Zbl 0308.35081

MSC:
35S05 Pseudodifferential operators as generalizations of partial differential operators
47Gxx Integral, integro-differential, and pseudodifferential operators
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References:
[1] M.F. Atiyah - I.M. Singer , The index of elliptic operators, I , Ann. of Math. , 87 ( 1968 ), pp. 484 - 530 . MR 236950 | Zbl 0164.24001 · Zbl 0164.24001 · doi:10.2307/1970715
[2] M.F. Atiyah - I.M. Singer , The index of elliptic operators, IV , Ann. of Math. , 93 ( 1971 ), pp. 119 - 138 . MR 279833 | Zbl 0212.28603 · Zbl 0212.28603 · doi:10.2307/1970756
[3] I.C. Gohberg - M.G. Kre , Systems of integral equations on a half line with kernels depending on the difference of arguments , Uspehi Mat. Nauk ., 13 , n. 2 (80), ( 1958 ), pp. 3 - 72 ; transl. AMS Transl ., ( 2 ) 14 ( 1960 ), pp. 217 - 287 . MR 113114 | Zbl 0098.07501 · Zbl 0098.07501
[4] L. Hörmander , Pseudo differential operators , Comm. Pure Appl. Math. , 18 ( 1965 ), pp. 501 - 517 . MR 180740 | Zbl 0125.33401 · Zbl 0125.33401 · doi:10.1002/cpa.3160180307
[5] L. Hörmander , Fourier integral operators, I , Acta Math. , 127 ( 1971 ), pp. 79 - 183 . MR 388463 | Zbl 0212.46601 · Zbl 0212.46601 · doi:10.1007/BF02392052
[6] L. Hörmander , Linear partial differential operators , Springer,Verlag , 1969 . MR 404822 | Zbl 0175.39201 · Zbl 0175.39201
[7] V.S. Pilidi , On multidimensional bisingular operators , Dokl. Akad. Nauk. SSSR , 201 , n. 4 ( 1971 ), pp. 787 - 789 ; transl. Soviet Math. Dokl. , 12 , n. 6 ( 1971 ), pp. 1723 - 1726 . MR 301578 | Zbl 0239.47024 · Zbl 0239.47024
[8] V.S. Pilidi , The index of the bisingular operators , Funk. Anal ., 7 , n. 4 ( 1973 ), pp. 93 - 94 . MR 333847 | Zbl 0295.47053 · Zbl 0295.47053 · doi:10.1007/BF01075747
[9] I.B. Simonenko , On the question of the solvability of bisingular and poly-singular equations , Funkt. Anal ., 5 , n. 1 ( 1971 ), pp. 93 - 94 ; transl. Funct. Anal. and its Appl . ( 1971 ), pp. 81 - 83 . MR 282170 | Zbl 0241.47035 · Zbl 0241.47035 · doi:10.1007/BF01075859
[10] I.B. Simonenko , On multidimensional discrete convolutions , Mat. Issl. III , 1 ( 7 ) ( 1968 ), pp. 108 - 122 . MR 257763 | Zbl 0254.47034 · Zbl 0254.47034
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