Prior this composition in the form of the text, on Boehmians and Boehmians spaces, till to date the literature has no record of a book or a monograph. This attempt is to explain the concept of the theory of Boehmians, which is the generalization of the Schwartz theory of distribution. The text of the present book contains the basic mathematics about the theory and various researches conducted during the past. Mathematics involved, is made as simple as possible, in order to reach to every young researchers and the matured mathematicians. If not all, but maximum researches in this field have been included. The prerequisites to study this subject are real analysis, complex analysis and the functional analysis.
Contents: 1. Schwartz theory of distribution. 2. Operational calculus. 3. Generalized Schwartz distributions : the Boehmians. 4. Wavelet transforms fractional calculus and references integral transforms. 5. Distribution, Boehmians and integral transforms. 6. Hartely transform for Boehmians. 7. Wavelet transform and Boehmians. 8. Selected applications. References.
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