TEMPERED GENERALIZED FUNCTIONS ALGEBRA, HERMITE ˆ FORMULA EXPANSIONS AND ITO PEDRO CATUOGNO AND CHRISTIAN OLIVERA Abstract. The space of tempered distributions S 0 can be realized as a sequence spaces by means of the H

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• Generalized functions
• Smooth functions
• Polynomials
• Hermite polynomials
• Distribution
• Fourier transform
• Dirac delta function
• Colombeau algebra
• Convolution
• Mathematical analysis
• Fourier analysis
• Functional analysis