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1, 3-27 (1984). 17. V. S. Vladimirov and I. V. Volovich, "Superanalysis. 2. Integral calculus," Theor. i Math. Phys, 60, No. 2, 169-198 (1984). 18. V. S. Vladimirov and I. V. Volovich, "Superanalysis: Differential calculus," Dokl. Akad. Nauk SSSR, 273, No. 1, 26-31 (1983). I9. V. S. Vtadimirov and I. V. Volovich, "Superanalysis. Integral calculus," Dokt. Akad. Nauk SSSR, 276, No. 3, 521-525 (1984). 20. V. S. Vladimirov, I. V. Volovich, and E. I. Zelenov, "Spectral theory in p-acUc quantum mechanics and representation theory," Izv.
Yu. Khrennikov, "Equations on superspace," Izv. Akad. Nauk SSSR, Set. , 54, No. 3, 576-606 (1990). 66. A. Yu. Khrennikov, "Central limit theorem for a quasi-Gaussian distribution on an infinite-dimensional superspace," Teor. Veroyatn. , 35, No. 3, 599-602 (1990). 67. A. Yu. Khrennikov, "SchrSdinger representation in the theory of boson string: quantization without anomalous term," Izv. , No. 10, 19-22 (1990). 68. A. Yu. Khrennikov, "Schr6dinger and Baxgmann-Fock representations in non-Archimedean quantum mechanics," Dokl.
This series corresponds to the Taylor series for the Fourier transform f of the distribution #. Every entire S-analytic function can be expanded into a left Taylor series f(Y'~) = Z a! T" ( ORrT'~ -07] ~'~ .. Oy~,O~(O). 15) = 9V'(rl)(-i (j), we obtain the right inversion formula for the opera- tor 7 : ~'~+~r Oxc'O0# Oyc~O~#"-'" (i)1~,1+1~10~+B6(x,O) ('T")-I(/) = ~ aZ c~! OyaO(~ (0) c~# . 15) ,re derive the right inversion formula for the operator ~" (i)l<-Izl o~+~(~, o) og+ef "~-~(f) = E ~! 6. O p e r a t i o n a l c a l c u l u s o n s u p e r s p a c e .
Distributions and partial differential equations on superspace by Khrennikov