Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Card Display
Catalogue Card Display
RAK
Title: Complex Analysis and Special Topics in Harmonic Analysis ([EBook] /) / by Carlos A. Berenstein, Roger Gay. Dewey Class: 515 Author: Berenstein, Carlos A. Added Personal Name: Gay, Roger. author. Publication: New York, NY : : Springer New York,, 1995. Other name(s): SpringerLink (Online service) Physical Details: X, 482 p. : online resource. ISBN: 9781461384458 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) Summary Note: A companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role that the Cauchy-Riemann equation plays in modern complex analysis. Topics considered include: Boundary values of holomorphic functions in the sense of distributions; interpolation problems and ideal theory in algebras of entire functions with growth conditions; exponential polynomials; the G transform and the unifying role it plays in complex analysis and transcendental number theory; summation methods; and the theorem of L. Schwarz concerning the solutions of a homogeneous convolution equation on the real line and its applications in harmonic function theory.: Contents note: 1 Boundary Values of Holomorphic Functions and Analytic Functionals -- 1.1. The Hardy Spaces in the Disk -- 1.2. Hyperfunctions -- 1.3. Analytic Functionals and Entire Functions of Exponential Type -- 1.4. Vade Mecum of Functional Analysis -- 1.5. Convolution of Analytic Functionals -- 1.6. Analytic Functionals on the Unit Circle -- 2 Interpolation and the Algebras Ap -- 2.1. The Algebras Ap -- 2.2. Interpolation with Growth Conditions -- 2.3. Ideal Theory in Ap -- 2.4. Dense Ideals in Ap(?) -- 2.5. Local Ideals and Conductor Ideals in Ap -- 2.6. The Algebra A? of Entire Functions of Order at Most ? -- 3 Exponential Polynomials -- 3.1. The Ring of Exponential Polynomials -- 3.2. Distributions of Zeros of an Exponential Polynomial -- 4 Integral Valued Entire Functions -- 4.1. The G-Transform -- 4.2. Integral Valued Entire Functions -- 5 Summation Methods -- 5.1. Borel and Mittag—Leffler Summation Methods -- 5.2. The Lindelöf Indicator Function -- 5.3. The Fourier—Borel Transform of Order ? of Analytic Functionals -- 5.4. Analytic Functionals with Noncompact Carrier -- 6 Harmonic Analysis -- 6.1. Convolution Equations in ? -- 6.2. Convolution Equations in ? -- 6.3. The Equation f(z + 1) — f(z) = g(z) -- 6.4. Differential Operators of Infinite Order -- 6.5. Deconvolution -- References -- Notation. ------------------------------ *** There are no holdings for this record *** -----------------------------------------------
Quick Search
Search for