A Study Of Generalized Functions and their Applications

This Book Provides the basic knowledge of the various fundamental spaces of test functions and their duals i.e., spaces of the generalized functions.The distributions are also known as generalized functions. Some authors make a little distinction between them which has been pointed out in chapter II of the book. They are members of dual spaces of certain locally convex vector spaces of complex - valued infinitely differentiable functions defined on open subsets of Euclidean Spaces. Thus one who intends to know the distribution should be acquainted with the properties of vector spaces and also of topological spaces. Wondering in the field of distributions whatever I could learn and observe has been incorporated in this book.

Autorentext
Pathak, Pratap NarayanDr. Pratap Narayan Pathak is presently working as Associate Professor in Department of Mathematics at Axis institute of Higher Education, Kanpur, Uttar Pradesh, India and is also working as Principal at same institute. He has been teaching Under graduate and post Graduate classes since last 25 years. He has several research papers under his credit.