Coverart for item
The Resource Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis, by Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa, (electronic resource)

Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis, by Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa, (electronic resource)

Label
Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
Title
Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
Statement of responsibility
by Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers, and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear functionals and linear operators on bicomplex modules. All of this may serve for many different developments, just like the usual functional analysis with complex scalars, and in this book it serves as the foundational material for the construction and study of a bicomplex version of the well known Schur analysis
Member of
http://library.link/vocab/creatorName
Alpay, Daniel
Image bit depth
0
LC call number
QA331-355
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Luna-Elizarrarás, Maria Elena.
  • Shapiro, Michael.
  • Struppa, Daniele C.
  • SpringerLink
Series statement
SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Functional analysis
  • Functions of complex variables
  • Operator theory
  • Systems theory
  • Mathematics
  • Functions of a Complex Variable
  • Functional Analysis
  • Operator Theory
  • Systems Theory, Control
Label
Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis, by Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Bicomplex and hyperbolic numbers -- 2. Bicomplex functions and matrices -- 3. BC-modules -- 4. Norms and inner products on BC-modules -- 5. Linear functionals and linear operators on BC-modules -- 6. Schur analysis
Dimensions
unknown
Extent
XV, 95 p. 3 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319051109
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-05110-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-05110-9
Label
Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis, by Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Bicomplex and hyperbolic numbers -- 2. Bicomplex functions and matrices -- 3. BC-modules -- 4. Norms and inner products on BC-modules -- 5. Linear functionals and linear operators on BC-modules -- 6. Schur analysis
Dimensions
unknown
Extent
XV, 95 p. 3 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319051109
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-05110-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-05110-9

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