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Functional analysis / / S. Kesavan
| Functional analysis / / S. Kesavan |
| Autore | Kesavan S. |
| Edizione | [2nd ed. 2023.] |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2023] |
| Descrizione fisica | 1 online resource (278 pages) |
| Disciplina | 515.7 |
| Collana | Texts and Readings in Mathematics |
| Soggetto topico |
Functional analysis
Functional analysis - Research Anàlisi funcional |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-19-7633-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminaries -- Normed Linear Spaces -- Hahn-Banach Theorems -- Baire’s Theorem and Applications -- Weak and Weak* Topologies -- Lᵖ Spaces -- Hilbert Spaces -- Compact Operators. |
| Record Nr. | UNINA-9910674351803321 |
Kesavan S.
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| Singapore : , : Springer, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Functional analysis and its applications : international conference, Madras 1973 / / H. G. Garnir, K. R. Unni, J. H. Williamson
| Functional analysis and its applications : international conference, Madras 1973 / / H. G. Garnir, K. R. Unni, J. H. Williamson |
| Autore | Garnir H. G. |
| Edizione | [1st ed. 1974.] |
| Pubbl/distr/stampa | Berlin : , : Springer, , [1974] |
| Descrizione fisica | 1 online resource (XVII, 575 p.) |
| Disciplina | 515.7 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Functional analysis
Functional analysis - Research |
| ISBN | 3-540-37827-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Non-abelian pontryagin duality -- The topological dual, the algebraic dual and Radon-Nikodym derivatives -- Segal algebras and dense ideals in Banach algebras -- Field approximation and free approximation for differential equations -- Linear interpolation and linear extension of functions -- Wave front sets and hypoelliptic operators -- Harmonic analysis in the complex domain and applications in the theory of analytical and infinitely differentiable functions -- Müntz-szasz theorem with integral coefficients I -- Inductive limits of Banach spaces and complex analysis -- Representation of nonlinear operators with the hammerstein property -- On polynomial approximation with respect to general weights -- Determination of conformal modules of ring domains and quadrilaterals -- Solovay's axion and functional analysis -- Q — Uniform algebras and operator theory -- On polynomials with a prescribed zero -- A priori inequalities for systems of partial differential equations -- Recent results on Segal algebras -- Measurability of lattice operations in a cone -- On some nonlinear elliptic boundary value problems -- Quasicomplemented Banach algebras -- On the (Lp, Lp) multipliers -- Heredity in metric projections -- Multipliers on weighted spaces -- On properties of traces of functions belonging to weight spaces -- Fundamental solutions of hyperbolic differential equations -- Non-self-conjugate differential dirac operators expansion in eigenfunctions through the whole axis -- Topological algebras in several complex variables -- Spectra of composition operators on C[0,1] -- Linear functionals on vector valued köthe spaces -- A general view on unitary dilations -- Quantization in Hamiltonian particle mechanics -- The lebesgue constants for polynomial interpolation -- Approximation theorems for polynomial spline operators -- Characterization of the barrelled, d-barrelled and ?-barrelled spaces of continuous functions -- Cardinal spline interpolation and the exponential Euler splines -- Approximation of analytic functions in Hausdorff metric -- Invariant means and almost convergence in non-Archimedean analysis -- Parameasures and multipliers of Segal algebras -- Segal algebras of Beurling type -- Splines in Hilbert spaces -- A survey of v-integral representation theory for operators on function spaces including the topological vector space setting -- Isotone measures, 1948–1973. |
| Record Nr. | UNISA-996466527503316 |
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Garnir H. G.
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| Berlin : , : Springer, , [1974] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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I-Smooth analysis : theory and applications / / A. V. Kim
| I-Smooth analysis : theory and applications / / A. V. Kim |
| Autore | Kim A. V. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Salem, Massachusetts : , : Scrivener Publishing, , 2015 |
| Descrizione fisica | 1 online resource (294 p.) |
| Disciplina | 515 |
| Soggetto topico |
Functional differential equations - Numerical solutions
Functional analysis - Research |
| ISBN |
1-118-99854-5
1-118-99851-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Contents; Preface; Part I Invariant derivatives of functionals and numerical methods for functional differential equations; 1 The invariant derivative of functionals; 1 Functional derivatives; 1.1 The Frechet derivative; 1.2 The Gateaux derivative; 2 Classifi cation of functionals on C[a, b]; 2.1 Regular functionals; 2.2 Singular functionals; 3 Calculation of a functional along a line; 3.1 Shift operators; 3.2 Superposition of a functional and a function; 3.3 Dini derivatives; 4 Discussion of two examples; 4.1 Derivative of a function along a curve
4.2 Derivative of a functional along a curve5 The invariant derivative; 5.1 The invariant derivative; 5.2 The invariant derivative in the class B[a, b]; 5.3 Examples; 6 Properties of the invariant derivative; 6.1 Principles of calculating invariant derivatives; 6.2 The invariant differentiability and invariant continuity; 6.3 High order invariant derivatives; 6.4 Series expansion; 7 Several variables; 7.1 Notation; 7.2 Shift operator; 7.3 Partial invariant derivative; 8 Generalized derivatives of nonlinear functionals; 8.1 Introduction; 8.2 Distributions (generalized functions) 13.1 Functional Differential Equations13.2 FDE types; 13.3 Modeling by FDE; 13.4 Phase space and FDE conditional representation; 14 Existence and uniqueness of FDE solutions; 14.1 The classic solutions; 14.2 Caratheodory solutions; 14.3 The step method for systems with discrete delays; 15 Smoothness of solutions and expansion into the Taylor series; 15.1 Density of special initial functions; 15.2 Expansion of FDE solutions into Taylor series; 16 The sewing procedure; 16.1 General case; 16.2 Sewing (modification) by polynomials; 16.3 The sewing procedure of the second order 16.4 Sewing procedure of the second order for linear delay differential equation |
| Record Nr. | UNINA-9910140640203321 |
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Kim A. V.
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| Salem, Massachusetts : , : Scrivener Publishing, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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I-Smooth analysis : theory and applications / / A. V. Kim
| I-Smooth analysis : theory and applications / / A. V. Kim |
| Autore | Kim A. V. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Salem, Massachusetts : , : Scrivener Publishing, , 2015 |
| Descrizione fisica | 1 online resource (294 p.) |
| Disciplina | 515 |
| Soggetto topico |
Functional differential equations - Numerical solutions
Functional analysis - Research |
| ISBN |
1-118-99854-5
1-118-99851-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Contents; Preface; Part I Invariant derivatives of functionals and numerical methods for functional differential equations; 1 The invariant derivative of functionals; 1 Functional derivatives; 1.1 The Frechet derivative; 1.2 The Gateaux derivative; 2 Classifi cation of functionals on C[a, b]; 2.1 Regular functionals; 2.2 Singular functionals; 3 Calculation of a functional along a line; 3.1 Shift operators; 3.2 Superposition of a functional and a function; 3.3 Dini derivatives; 4 Discussion of two examples; 4.1 Derivative of a function along a curve
4.2 Derivative of a functional along a curve5 The invariant derivative; 5.1 The invariant derivative; 5.2 The invariant derivative in the class B[a, b]; 5.3 Examples; 6 Properties of the invariant derivative; 6.1 Principles of calculating invariant derivatives; 6.2 The invariant differentiability and invariant continuity; 6.3 High order invariant derivatives; 6.4 Series expansion; 7 Several variables; 7.1 Notation; 7.2 Shift operator; 7.3 Partial invariant derivative; 8 Generalized derivatives of nonlinear functionals; 8.1 Introduction; 8.2 Distributions (generalized functions) 13.1 Functional Differential Equations13.2 FDE types; 13.3 Modeling by FDE; 13.4 Phase space and FDE conditional representation; 14 Existence and uniqueness of FDE solutions; 14.1 The classic solutions; 14.2 Caratheodory solutions; 14.3 The step method for systems with discrete delays; 15 Smoothness of solutions and expansion into the Taylor series; 15.1 Density of special initial functions; 15.2 Expansion of FDE solutions into Taylor series; 16 The sewing procedure; 16.1 General case; 16.2 Sewing (modification) by polynomials; 16.3 The sewing procedure of the second order 16.4 Sewing procedure of the second order for linear delay differential equation |
| Record Nr. | UNISA-996216082203316 |
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Kim A. V.
|
||
| Salem, Massachusetts : , : Scrivener Publishing, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
I-Smooth analysis : theory and applications / / A. V. Kim
| I-Smooth analysis : theory and applications / / A. V. Kim |
| Autore | Kim A. V. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Salem, Massachusetts : , : Scrivener Publishing, , 2015 |
| Descrizione fisica | 1 online resource (294 p.) |
| Disciplina | 515 |
| Soggetto topico |
Functional differential equations - Numerical solutions
Functional analysis - Research |
| ISBN |
1-118-99854-5
1-118-99851-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Contents; Preface; Part I Invariant derivatives of functionals and numerical methods for functional differential equations; 1 The invariant derivative of functionals; 1 Functional derivatives; 1.1 The Frechet derivative; 1.2 The Gateaux derivative; 2 Classifi cation of functionals on C[a, b]; 2.1 Regular functionals; 2.2 Singular functionals; 3 Calculation of a functional along a line; 3.1 Shift operators; 3.2 Superposition of a functional and a function; 3.3 Dini derivatives; 4 Discussion of two examples; 4.1 Derivative of a function along a curve
4.2 Derivative of a functional along a curve5 The invariant derivative; 5.1 The invariant derivative; 5.2 The invariant derivative in the class B[a, b]; 5.3 Examples; 6 Properties of the invariant derivative; 6.1 Principles of calculating invariant derivatives; 6.2 The invariant differentiability and invariant continuity; 6.3 High order invariant derivatives; 6.4 Series expansion; 7 Several variables; 7.1 Notation; 7.2 Shift operator; 7.3 Partial invariant derivative; 8 Generalized derivatives of nonlinear functionals; 8.1 Introduction; 8.2 Distributions (generalized functions) 13.1 Functional Differential Equations13.2 FDE types; 13.3 Modeling by FDE; 13.4 Phase space and FDE conditional representation; 14 Existence and uniqueness of FDE solutions; 14.1 The classic solutions; 14.2 Caratheodory solutions; 14.3 The step method for systems with discrete delays; 15 Smoothness of solutions and expansion into the Taylor series; 15.1 Density of special initial functions; 15.2 Expansion of FDE solutions into Taylor series; 16 The sewing procedure; 16.1 General case; 16.2 Sewing (modification) by polynomials; 16.3 The sewing procedure of the second order 16.4 Sewing procedure of the second order for linear delay differential equation |
| Record Nr. | UNINA-9910830294703321 |
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Kim A. V.
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| Salem, Massachusetts : , : Scrivener Publishing, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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