Various related ideas are explored in this introductory survey text of integral transformations, operational calculus and generalized functions. The laplace transformation serves as a model for the developments of the operational properties of several other transformations. Further, it provides a connection to the Mikusinski calculus and generalized functions. The development of the Fourier transformation is followed by a different treatment of generalized functions (distributions). These introductions to generalized functions parallel the constructive approaches to the rational and real number systems.
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It is not the object of the author to present comprehensive cov­ erage of any particular integral transformation or of any particular development of generalized functions, for there are books available in which this is done. This construction is anal­ ogous to the construction of the reals from the rationals by means of Cauchy sequences.
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Product details

ISBN
9780792341833
Published
1996-07-31
Publisher
Kluwer Academic Publishers
Height
235 mm
Width
155 mm
Age
Research, UU, UP, P, 05, 06
Language
Product language
Engelsk
Format
Product format
Innbundet
Number of pages
14