Book Cover
Average Rating
Viking Kestrel,
Pub. Date:
Generalized functions are now widely recognized as important mathematical tools for engineers and physicists. But they are considered to be inaccessible for non-specialists. To remedy this situation, this book gives an intelligible exposition of generalized functions based on Sato's hyperfunction, which is essentially the 'boundary value of analytic functions'. An intuitive image -- hyperfunction = vortex layer -- is adopted, and only an elementary knowledge of complex function theory is assumed. The treatment is entirely self-contained. The first part of the book gives a detailed account of fundamental operations such as the four arithmetical operations applicable to hyperfunctions, namely differentiation, integration, and convolution, as well as Fourier transform. Fourier series are seen to be nothing but periodic hyperfunctions. In the second part, based on the general theory, the Hilbert transform and Poisson-Schwarz integral formula are treated and their application to integral equations is studied. A great number of formulas obtained in the course of treatment are summarized as tables in the appendix. In particular, those concerning convolution, the Hilbert transform and Fourier transform contain much new material. For mathematicians, mathematical physicists and engineers whose work involves generalized functions.
Also in This Series
More Like This
More Details
Reviews from GoodReads
Loading GoodReads Reviews.
No Tags, Be the first to tag this record!
Staff View

Grouping Information

Grouped Work ID 7405fe52-e9cb-b918-5d43-8af74b1c892a
Grouping Title surprise
Grouping Author fine jane
Grouping Category book
Last Grouping Update 2019-01-01 23:53:44PM
Last Indexed 2019-02-20 00:53:05AM

Solr Details

accelerated_reader_point_value 0
accelerated_reader_reading_level 0
auth_author2 Morgan, Mary,
author Fine, Jane.
author2-role Morgan, Mary,ill.
author_display Fine, Jane
available_at_school Carter Lawrence Elementary, JE Moss Elementary, Paragon Mills Elementary
collection_school Everyone
detailed_location_school Lawrence Carter Elementary - Everyone, Moss Elementary - Everyone, Paragon Mills Elementary - Everyone
display_description A surprise is in store as three children prepare breakfast in bed for their mother.
format_category_school Books
format_school Book
id 7405fe52-e9cb-b918-5d43-8af74b1c892a
isbn 9780670820368
item_details ils:CARL0000519163|P00012655|Lawrence Carter Elementary - Everyone|E FIN|||1|false|false|||||On Shelf||17185||, ils:CARL0000519163|P00093647|Moss Elementary - Everyone|E FIN|||1|false|false|||||On Shelf||1J310||, ils:CARL0000519163|P00121156|Paragon Mills Elementary - Everyone|E FIN|||1|false|false|||||On Shelf||2I618||, ils:CARL0000519163|P00124299|Paragon Mills Elementary - Everyone|E FIN|||1|false|false|||||On Shelf||2I618||
itype_school Book
last_indexed 2019-02-20T06:53:05.636Z
lexile_score -1
literary_form Fiction
literary_form_full Fiction
local_callnumber_school E FIN
owning_library_school Schools
owning_location_school Carter Lawrence Elementary, JE Moss Elementary, Paragon Mills Elementary
primary_isbn 9780670820368
publishDate 1988
record_details ils:CARL0000519163|Book|Books||English|Viking Kestrel,|1988.|[30] p. : col. ill. ; 23 cm.
recordtype grouped_work
Bib IdItem IdGrouped StatusStatusLocally OwnedAvailableHoldableBookableIn Library Use OnlyLibrary OwnedHoldable PTypesBookable PTypesLocal Url
ils:CARL0000519163 P00121156 On Shelf On Shelf false true false false false true
ils:CARL0000519163 P00093647 On Shelf On Shelf false true false false false true
ils:CARL0000519163 P00012655 On Shelf On Shelf false true false false false true
ils:CARL0000519163 P00124299 On Shelf On Shelf false true false false false true
subject_facet Mothers. -- Fiction
title_display Surprise!
title_full Surprise! / Jane Fine ; pictures by Mary Morgan
title_short Surprise!
topic_facet Fiction, Mothers