Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |
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Page 2029
RN ( 48 ) T ' , ( ) = S ( 8 ) v ( ds ) , Similarly , functions on RN may determine tempered distributions just as they sometimes determine distributions . For example , since convergence on → g in is equivalent to the statement that ...
RN ( 48 ) T ' , ( ) = S ( 8 ) v ( ds ) , Similarly , functions on RN may determine tempered distributions just as they sometimes determine distributions . For example , since convergence on → g in is equivalent to the statement that ...
Page 2373
which exclude the whole complex plane from the spectrum of the operator they determine . ... These boundary conditions determine discrete differential operators having eigenvalues = 32 determined by equations of the form sin s = = ks .
which exclude the whole complex plane from the spectrum of the operator they determine . ... These boundary conditions determine discrete differential operators having eigenvalues = 32 determined by equations of the form sin s = = ks .
Page 2591
... XV.12 (2031-2032) determined by a function, XV.l 2.10 (2029), XV.12. 11, XV. 12.12, XV.12.13 (2030) Fourier transform and other properties of, XV. 12 (2029) Type m, conditions for, XV.5.4 (1944), XV.6.7 (1945),XV.6.7 (1948), ...
... XV.12 (2031-2032) determined by a function, XV.l 2.10 (2029), XV.12. 11, XV. 12.12, XV.12.13 (2030) Fourier transform and other properties of, XV. 12 (2029) Type m, conditions for, XV.5.4 (1944), XV.6.7 (1945),XV.6.7 (1948), ...
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Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Terminology and Preliminary Notions | 1929 |
Copyright | |
31 other sections not shown
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Common terms and phrases
adjoint operator Amer analytic apply arbitrary assumed B-space Banach space belongs Boolean algebra Borel set boundary conditions bounded bounded operator Chapter clear closed commuting compact complex constant contained continuous converges Corollary corresponding defined Definition denote dense determined differential operator domain elements equation equivalent established exists extension finite follows formal formula function given Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear linear operator Math Moreover multiplicity norm perturbation plane positive preceding present problem projections PROOF properties prove range resolution resolvent restriction Russian satisfies scalar type seen sequence shown shows similar solution spectral measure spectral operator spectrum subset sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector zero
Bibliographic information
| Title | Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 Pure and applied mathematics, v. 7 |
| Authors | Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle |
| Editors | L. Bers, J. J. Stoker |
| Publisher | Wiley-Interscience, 1957 |
| Original from | the University of Michigan |
| Digitized | 2 Feb 2010 |
| ISBN | 0471226394, 9780471226390 |
| Length | 667 pages |
| Export Citation | BiBTeX EndNote RefMan |