The theory of distributions is most often presented as L. Schwartz originally presented it: as a theory of the duality of topological vector spaces. Although this is a sound approach, it can be difficult, demanding deep prior knowledge of functional analysis. The more elementary treatments that are available often consider distributions as limits of sequences of functions, but these usually present the theoretical foundations in a form too simplified for practical applications. Distributions, Integral Transforms and Applications offers an approachable introduction to the theory of distributions and integral transforms that uses Schwartz's description of distributions as linear continous forms on topological vector spaces. The authors use the theory of the Lebesgue integral as a fundamental tool in the proofs of many theorems and develop the theory from its beginnings to the point of proving many of the deep, important theorems, such as the Schwartz kernel theorem and the Malgrange-Ehrenpreis theorem. They clearly demonstrate how the theory of distributions can be used in cases such as Fourier analysis, when the methods of classical analysis are insufficient. Accessible to anyone who has completed a course in advanced calculus, this treatment emphasizes the remarkable connections between distributional theory, classical analysis, and the theory of differential equations and leads directly to applications in various branches of mathematics.

About the Author

W. Kierat, Urszula Sztaba

"About this title" may belong to another edition of this title.

Store Description

Professional Book Seller offering fast shipping and hassle-free returns for every order. Our 100% satisfaction policy guarantees that you get the best product and the best service at the best price!

Visit Seller's Storefront

Seller's business information

Basi6 International LLC
1018 Camino Lago, Irving, TX, 75039, U.S.A.

Sale & Shipping Terms

Terms of Sale

Professional Book Seller shipping from Multiple Locations Worldwide for fastest delivery possible!

Shipping Terms

All orders shipped via FedEx or DHL and delivered to your doorstep within 3-5 days. We do not ship to P.O.Boxes and a proper street address must be provided to avoid any delays.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	5 to 14 business days	3 to 6 business days
First item	US$ 0.00	US$ 0.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.