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Caratterizzazione dei polinomi di convoluzione in una variabile a decrescenza rapida, a coefficienti costanti, che hanno soluzioni quasi periodiche per ogni termine noto quasi periodico. (Italian) Zbl 0268.46041

MSC:

46F10 Operations with distributions and generalized functions
44A35 Convolution as an integral transform
42A75 Classical almost periodic functions, mean periodic functions
35B15 Almost and pseudo-almost periodic solutions to PDEs
35E05 Fundamental solutions to PDEs and systems of PDEs with constant coefficients
45K05 Integro-partial differential equations
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References:

[1] Amerio , L. , Prouse , G. : Almost periodic functions and functional equations , D. Van Nostrand Reinhold , 1971 . MR 275061 | Zbl 0215.15701 · Zbl 0215.15701
[2] Bratti , G. : Sulle distribuzioni vettoriali di una variabile debolmente quasi periodiche , Rend. Sem. Mat. Univ. Padova , 1970 . Numdam | MR 320736 | Zbl 0239.46033 · Zbl 0239.46033
[3] Favard , J. : Leçons sur les fonctions presque-periodiques , Gautier-Villars , 1933 . JFM 59.0996.01 · JFM 59.0996.01
[4] Schwartz , L. : Théorie des distributions , Hermann , 1966 . MR 209834 | Zbl 0962.46025 · Zbl 0962.46025
[5] Hörmander , L. : Linear partial differential operators , Springer-Verlag , 1963 . MR 404822 | Zbl 0108.09301 · Zbl 0108.09301
[6] Treves , F. : Linear partial differential equations with constant coefficient , Gordon and Breach , 1966 . MR 224958 | Zbl 0164.40602 · Zbl 0164.40602
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