Introduction to hyperfunctions and their integral transforms :
نام عام مواد
[Book]
ساير اطلاعات عنواني
an applied and computational approach /
نام نخستين پديدآور
Urs Graf
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource (xi, 415 pages) :
ساير جزييات
illustrations
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (pages 407-409) and index
یادداشتهای مربوط به مندرجات
متن يادداشت
Preface -- 1 Introduction to Hyperfunctions -- 2 Analytic Properties -- 3 Laplace Transforms -- 4 Fourier Transforms -- 5 Hilbert Transforms -- 6 Mellin Transforms -- 7 Hankel Transforms -- A Complements -- B Tables -- List of Symbols -- Bibliography. Index
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power. The concept of hyperfunctions and their analytic properties is introduced and discussed in detail in the first two chapters of the book. Thereafter the focus lies on generalizing the (classical) Laplace, Fourier, Hilbert, Mellin, and Hankel transformations to hyperfunctions. Applications to integral and differential equations and a rich variety of concrete examples accompany the text throughout the book. Requiring only standard knowledge of the theory of complex variables, the material is easily accessible for advanced undergraduate or graduate students. It serves as well as a reference for researchers in pure and applied mathematics, engineering and physics
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Introduction to hyperfunctions and their integral transforms.
شماره استاندارد بين المللي کتاب و موسيقي
9783034604079
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Hyperfunctions
موضوع مستند نشده
Transformations (Mathematics)
رده بندی ديویی
شماره
515
.
782
ويراست
22
رده بندی کنگره
شماره رده
QA324
نشانه اثر
.
G73
2010
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )