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Operator theory. With 51 figures and 2 tables. In 2 volumes. (English) Zbl 1325.47001

Springer Reference. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). xix, 1860 p. (2015).

Show indexed articles as search result.

The articles of this volume will be reviewed individually.
Indexed articles:
Szafraniec, Franciszek Hugon, The reproducing kernel property and its space: the basics, 3-30 [Zbl 1342.46026]
Szafraniec, Franciszek Hugon, The reproducing kernel property and its space: more or less standard examples of applications, 31-58 [Zbl 1342.46027]
Agler, Jim; McCarthy, John E., The use of kernel functions in solving the Pick interpolation problem, 59-71 [Zbl 1359.47011]
Kosiński, Łukasz; Zwonek, Włodzimierz, Bergman kernel in complex analysis, 73-86 [Zbl 1330.32002]
García, Antonio G., Sampling theory and reproducing kernel Hilbert spaces, 87-110 [Zbl 1343.94029]
Ali, Syed Twareque, Reproducing kernels in coherent states, wavelets, and quantization, 111-125 [Zbl 1343.47084]
Beltiţǎ, Daniel; Galé, José E., Geometric perspectives on reproducing kernels, 127-148 [Zbl 1347.46019]
Wietsma, Hendrik Luit, Multi-valued operators/linear relations between Kreĭn spaces, 151-163 [Zbl 1335.47003]
Wietsma, Hendrik Luit, Symmetric and isometric relations, 165-182 [Zbl 1342.47003]
Derkach, Vladimir, Boundary triplets, Weyl functions, and the Kreĭn formula, 183-218 [Zbl 1347.47015]
Dritschel, Michael, Contractions and the commutant lifting theorem in Kreĭn spaces, 219-239 [Zbl 1361.47003]
Trunk, Carsten, Locally definitizable operators: the local structure of the spectrum, 241-259 [Zbl 1422.47046]
Dijksma, Aad, Schur analysis in an indefinite setting, 261-310 [Zbl 1347.47023]
Gheondea, Aurelian, Reproducing kernel Kreĭn spaces, 311-343 [Zbl 1347.46020]
Luger, Annemarie, Generalized Nevanlinna functions: operator representations, asymptotic behavior, 345-371 [Zbl 1348.47010]
Kaltenbäck, Michael, Indefinite Hamiltonians, 373-394 [Zbl 1338.47124]
Fleige, Andreas, The critical point infinity associated with indefinite Sturm-Liouville problems, 395-429 [Zbl 1367.47047]
Mehl, Christian, Finite-dimensional indefinite inner product spaces and applications in numerical analysis, 431-449 [Zbl 1335.47024]
Ran, André C. M., The algebraic Riccati equation and its role in indefinite inner product spaces, 451-469 [Zbl 1335.47009]
Rovnyak, James, Hilbert spaces of entire functions: early history, 473-487 [Zbl 1337.47019]
Woracek, Harald, De Branges spaces and growth aspects, 489-523 [Zbl 1347.46022]
Winkler, Henrik, Two-dimensional Hamiltonian systems, 525-547 [Zbl 1337.47113]
Silva, Luis O.; Toloza, Julio H., De Branges spaces and Kreĭn’s theory of entire operators, 549-580 [Zbl 1339.47027]
Belov, Yurii; Havin, Victor, The Beurling-Malliavin multiplier theorem and its analogs for the de Branges spaces, 581-607 [Zbl 1344.42001]
Romanov, Roman, Jacobi matrices and de Branges spaces, 609-621 [Zbl 1336.47032]
Remling, Christian, Schrödinger operators and canonical systems, 623-630 [Zbl 1394.47074]
Ball, Joseph A.; Bolotnikov, Vladimir, De Branges-Rovnyak spaces: basics and theory, 631-679 [Zbl 1347.46018]
Ball, Joseph A.; Bolotnikov, Vladimir, De Branges-Rovnyak spaces and norm-constrained interpolation, 681-720 [Zbl 1342.47022]
Arov, Damir Z.; Dym, Harry, De Branges spaces of vector-valued functions, 721-752 [Zbl 1348.46031]
Arov, Damir Z.; Dym, Harry, Applications of de Branges spaces of vector-valued functions, 753-776 [Zbl 1348.46032]
Arlinskiĭ, Yury; Belyi, Sergey; Tsekanovskiĭ, Eduard, Realization of Herglotz-Nevanlinna functions by conservative systems, 779-809 [Zbl 1435.47020]
Feintuch, Avraham, Synchronization problems for spatially invariant infinite dimensional linear systems, 811-832 [Zbl 1485.47125]
Zayed, Ahmed I., Linear transformations in signal and optical systems, 833-874 [Zbl 1485.47126]
Diagana, Toka, Perturbations of unbounded Fredholm linear operators in Banach spaces, 875-880 [Zbl 1354.47014]
Sasane, Amol, Robust stabilization of linear control systems using a frequency domain approach, 881-900 [Zbl 1353.93076]
Dewilde, Patrick; Van der Veen, Alle-Jan, Semi- and quasi-separable systems, 901-930 [Zbl 1339.47016]
Regalia, Phillip A., Basics of secrecy coding, 931-966 [Zbl 1342.47089]
Sarkar, Jaydeb, An introduction to Hilbert module approach to multivariable operator theory, 969-1033 [Zbl 1372.47008]
Sarkar, Jaydeb, Applications of Hilbert module approach to multivariable operator theory, 1035-1091 [Zbl 1346.47004]
Ambrozie, Caline; Müller, Vladimír, Commutative dilation theory, 1093-1124 [Zbl 1347.47004]
Shalit, Orr, Operator theory and function theory in Drury-Arveson space and its quotients, 1125-1180 [Zbl 1344.47002]
Müller, Vladimír, Taylor functional calculus, 1181-1215 [Zbl 1408.47004]
Jorgensen, Palle E. T.; Tian, Feng, Unbounded operators, Lie algebras, and local representations, 1221-1243 [Zbl 1334.47071]
Cho, Ilwoo; Jorgensen, Palle E. T., Arithmetic functions in harmonic analysis and operator theory, 1245-1284 [Zbl 1342.47055]
Cho, Ilwoo; Jorgensen, Palle E. T., A von Neumann algebra over the adèle ring and the Euler totient function, 1285-1335 [Zbl 1346.46057]
Sommen, Frank; De Schepper, Hennie, Introductory Clifford analysis, 1339-1367 [Zbl 1330.30008]
Gürlebeck, Klaus; Sprößig, Wolfgang, Quaternionic analysis: application to boundary value problems, 1369-1391 [Zbl 1330.30003]
Martin, Mircea, Function spaces in quaternionic and Clifford analysis, 1393-1422 [Zbl 1348.46028]
Shapiro, Michael, Quaternionic analysis and some conventional theories, 1423-1446 [Zbl 1330.30007]
Abreu-Blaya, Ricardo; Bory-Reyes, Juan, Quaternionic and Clifford analysis for non-smooth domains, 1447-1470 [Zbl 1330.30002]
Eelbode, David, Clifford analysis for higher spin operators, 1471-1490 [Zbl 1330.30044]
Qian, Tao, Fueter mapping theorem in hypercomplex analysis, 1491-1507 [Zbl 1330.30005]
Souček, Vladimír, Representation theory in Clifford analysis, 1509-1547 [Zbl 1330.30009]
Struppa, Daniele C., Quaternionic and Clifford analysis in several variables, 1549-1578 [Zbl 1330.30010]
Sabadini, Irene; Sommen, Frank, Hermitian Clifford analysis, 1581-1608 [Zbl 1330.30006]
Kähler, Uwe; Sommen, Frank, Discrete Clifford analysis, 1609-1630 [Zbl 1330.30004]
Struppa, Daniele C., Slice hyperholomorphic functions with values in some real algebras, 1631-1650 [Zbl 1330.30011]
De Bie, Hendrik, Fourier transforms in Clifford analysis, 1651-1672 [Zbl 1329.42009]
Bernstein, Swanhild, Wavelets in Clifford analysis, 1673-1699 [Zbl 1329.42033]
Cerejeiras, Paula; Kähler, Uwe, Monogenic signal theory, 1701-1724 [Zbl 1343.94022]
Luna-Elizarrarás, Maria Elena; Shapiro, Michael, Some peculiarities of quaternionic linear spaces, 1725-1743 [Zbl 1336.46010]
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene, Schur analysis in the quaternionic setting: the Fueter regular and the slice regular case, 1745-1786 [Zbl 1337.47015]
Colombo, Fabrizio; Sabadini, Irene, Slice hyperholomorphic functional calculi, 1787-1821 [Zbl 1334.47018]
Jefferies, Brian, The monogenic functional calculus, 1823-1851 [Zbl 1334.47019]

MSC:

47-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to operator theory
47B32 Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces)
47B34 Kernel operators
47A57 Linear operator methods in interpolation, moment and extension problems
30G35 Functions of hypercomplex variables and generalized variables
93C05 Linear systems in control theory
00B15 Collections of articles of miscellaneous specific interest