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Asympototic behavior of generalized functions [[electronic resource] /] / Steven Pilipović, Bogoljub Stanković, Jasson Vindas
| Asympototic behavior of generalized functions [[electronic resource] /] / Steven Pilipović, Bogoljub Stanković, Jasson Vindas |
| Autore | Pilipović Stevan |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (309 p.) |
| Disciplina |
515.23
515.782 |
| Altri autori (Persone) |
StankovićBogoljub <1924->
VindasJasson |
| Collana | Series on analysis, applications and computation |
| Soggetto topico | Asymptotic expansions |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4366-85-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; I. Asymptotic Behavior of Generalized Functions; 0 Preliminaries; 1 S-asymptotics in F'g; 1.1 Definition; 1.2 Characterization of comparison functions and limits; 1.3 Equivalent definitions of the S-asymptotics in F'; 1.4 Basic properties of the S-asymptotics; 1.5 S-asymptotic behavior of some special classes of generalized functions; 1.5.1 Examples with regular distributions; 1.5.2 Examples with distributions in subspaces of D'; 1.5.3 S-asymptotics of ultradistributions and Fourier hyperfunctions - Comparisons with the S-asymptotics of distributions
1.6 S-asymptotics and the asymptotics of a function1.7 Characterization of the support of T F'; 1.8 Characterization of some generalized function spaces; 1.9 Structural theorems for S-asymptotics in F'; 1.10 S-asymptotic expansions in F'g; 1.10.1 General definitions and assertions; 1.10.2 S-asymptotic Taylor expansion; 1.11 S-asymptotics in subspaces of distributions; 1.12 Generalized S-asymptotics; 2 Quasi-asymptotics in F'; 2.1 Definition of quasi-asymptotics at infinity over a cone; 2.2 Basic properties of quasi-asymptotics over a cone 2.3 Quasi-asymptotic behavior at infinity of some generalized functions2.4 Equivalent definitions of quasi-asymptotics at infinity; 2.5 Quasi-asymptotics as an extension of the classical asymptotics; 2.6 Relations between quasi-asymptotics in D'(R) and S'(R); 2.7 Quasi-asymptotics at ±; 2.8 Quasi-asymptotics at the origin; 2.9 Quasi-asymptotic expansions; 2.10 The structure of quasi-asymptotics. Up-to-date results in one dimension; 2.10.1 Remarks on slowly varying functions; 2.10.2 Asymptotically homogeneous functions 2.10.3 Relation between asymptotically homogeneous functions and quasi-asymptotics2.10.4 Associate asymptotically homogeneous functions; 2.10.5 Structural theorems for negative integral degrees. The general case; 2.11 Quasi-asymptotic extension; 2.11.1 Quasi-asymptotics at the origin in D'(R) and S'(R); 2.11.2 Quasi-asymptotic extension problem in D'(0, ); 2.11.3 Quasi-asymptotics at infinity and spaces V'ß (R); 2.12 Quasi-asymptotic boundedness; 2.13 Relation between the S-asymptotics and quasi-asymptotics at; II. Applications of the Asymptotic Behavior of Generalized Functions 3 Asymptotic behavior of solutions to partial differential equations3.1 S-asymptotics of solutions; 3.2 Quasi-asymptotics of solutions; 3.3 S-asymptotics of solutions to equations with ultra-differential or local operators; 4 Asymptotics and integral transforms; 4.1 Abelian type theorems; 4.1.1 Transforms with general kernels; 4.1.2 Special integral transforms; 4.2 Tauberian type theorems; 4.2.1 Convolution type transforms in spaces of distributions; 4.2.2 Convolution type transforms in other spaces of generalized functions; 4.2.3 Integral transforms of Mellin convolution type 4.2.4 Special integral transforms |
| Record Nr. | UNINA-9910457493803321 |
Pilipović Stevan
|
||
| Singapore, : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asympototic behavior of generalized functions [[electronic resource] /] / Steven Pilipović, Bogoljub Stanković, Jasson Vindas
| Asympototic behavior of generalized functions [[electronic resource] /] / Steven Pilipović, Bogoljub Stanković, Jasson Vindas |
| Autore | Pilipović Stevan |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (309 p.) |
| Disciplina |
515.23
515.782 |
| Altri autori (Persone) |
StankovićBogoljub <1924->
VindasJasson |
| Collana | Series on analysis, applications and computation |
| Soggetto topico | Asymptotic expansions |
| ISBN | 981-4366-85-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; I. Asymptotic Behavior of Generalized Functions; 0 Preliminaries; 1 S-asymptotics in F'g; 1.1 Definition; 1.2 Characterization of comparison functions and limits; 1.3 Equivalent definitions of the S-asymptotics in F'; 1.4 Basic properties of the S-asymptotics; 1.5 S-asymptotic behavior of some special classes of generalized functions; 1.5.1 Examples with regular distributions; 1.5.2 Examples with distributions in subspaces of D'; 1.5.3 S-asymptotics of ultradistributions and Fourier hyperfunctions - Comparisons with the S-asymptotics of distributions
1.6 S-asymptotics and the asymptotics of a function1.7 Characterization of the support of T F'; 1.8 Characterization of some generalized function spaces; 1.9 Structural theorems for S-asymptotics in F'; 1.10 S-asymptotic expansions in F'g; 1.10.1 General definitions and assertions; 1.10.2 S-asymptotic Taylor expansion; 1.11 S-asymptotics in subspaces of distributions; 1.12 Generalized S-asymptotics; 2 Quasi-asymptotics in F'; 2.1 Definition of quasi-asymptotics at infinity over a cone; 2.2 Basic properties of quasi-asymptotics over a cone 2.3 Quasi-asymptotic behavior at infinity of some generalized functions2.4 Equivalent definitions of quasi-asymptotics at infinity; 2.5 Quasi-asymptotics as an extension of the classical asymptotics; 2.6 Relations between quasi-asymptotics in D'(R) and S'(R); 2.7 Quasi-asymptotics at ±; 2.8 Quasi-asymptotics at the origin; 2.9 Quasi-asymptotic expansions; 2.10 The structure of quasi-asymptotics. Up-to-date results in one dimension; 2.10.1 Remarks on slowly varying functions; 2.10.2 Asymptotically homogeneous functions 2.10.3 Relation between asymptotically homogeneous functions and quasi-asymptotics2.10.4 Associate asymptotically homogeneous functions; 2.10.5 Structural theorems for negative integral degrees. The general case; 2.11 Quasi-asymptotic extension; 2.11.1 Quasi-asymptotics at the origin in D'(R) and S'(R); 2.11.2 Quasi-asymptotic extension problem in D'(0, ); 2.11.3 Quasi-asymptotics at infinity and spaces V'ß (R); 2.12 Quasi-asymptotic boundedness; 2.13 Relation between the S-asymptotics and quasi-asymptotics at; II. Applications of the Asymptotic Behavior of Generalized Functions 3 Asymptotic behavior of solutions to partial differential equations3.1 S-asymptotics of solutions; 3.2 Quasi-asymptotics of solutions; 3.3 S-asymptotics of solutions to equations with ultra-differential or local operators; 4 Asymptotics and integral transforms; 4.1 Abelian type theorems; 4.1.1 Transforms with general kernels; 4.1.2 Special integral transforms; 4.2 Tauberian type theorems; 4.2.1 Convolution type transforms in spaces of distributions; 4.2.2 Convolution type transforms in other spaces of generalized functions; 4.2.3 Integral transforms of Mellin convolution type 4.2.4 Special integral transforms |
| Record Nr. | UNINA-9910779068103321 |
|
Pilipović Stevan
|
||
| Singapore, : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asympototic behavior of generalized functions [[electronic resource] /] / Steven Pilipović, Bogoljub Stanković, Jasson Vindas
| Asympototic behavior of generalized functions [[electronic resource] /] / Steven Pilipović, Bogoljub Stanković, Jasson Vindas |
| Autore | Pilipović Stevan |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2012 |
| Descrizione fisica | 1 online resource (309 p.) |
| Disciplina |
515.23
515.782 |
| Altri autori (Persone) |
StankovićBogoljub <1924->
VindasJasson |
| Collana | Series on analysis, applications and computation |
| Soggetto topico | Asymptotic expansions |
| ISBN | 981-4366-85-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; I. Asymptotic Behavior of Generalized Functions; 0 Preliminaries; 1 S-asymptotics in F'g; 1.1 Definition; 1.2 Characterization of comparison functions and limits; 1.3 Equivalent definitions of the S-asymptotics in F'; 1.4 Basic properties of the S-asymptotics; 1.5 S-asymptotic behavior of some special classes of generalized functions; 1.5.1 Examples with regular distributions; 1.5.2 Examples with distributions in subspaces of D'; 1.5.3 S-asymptotics of ultradistributions and Fourier hyperfunctions - Comparisons with the S-asymptotics of distributions
1.6 S-asymptotics and the asymptotics of a function1.7 Characterization of the support of T F'; 1.8 Characterization of some generalized function spaces; 1.9 Structural theorems for S-asymptotics in F'; 1.10 S-asymptotic expansions in F'g; 1.10.1 General definitions and assertions; 1.10.2 S-asymptotic Taylor expansion; 1.11 S-asymptotics in subspaces of distributions; 1.12 Generalized S-asymptotics; 2 Quasi-asymptotics in F'; 2.1 Definition of quasi-asymptotics at infinity over a cone; 2.2 Basic properties of quasi-asymptotics over a cone 2.3 Quasi-asymptotic behavior at infinity of some generalized functions2.4 Equivalent definitions of quasi-asymptotics at infinity; 2.5 Quasi-asymptotics as an extension of the classical asymptotics; 2.6 Relations between quasi-asymptotics in D'(R) and S'(R); 2.7 Quasi-asymptotics at ±; 2.8 Quasi-asymptotics at the origin; 2.9 Quasi-asymptotic expansions; 2.10 The structure of quasi-asymptotics. Up-to-date results in one dimension; 2.10.1 Remarks on slowly varying functions; 2.10.2 Asymptotically homogeneous functions 2.10.3 Relation between asymptotically homogeneous functions and quasi-asymptotics2.10.4 Associate asymptotically homogeneous functions; 2.10.5 Structural theorems for negative integral degrees. The general case; 2.11 Quasi-asymptotic extension; 2.11.1 Quasi-asymptotics at the origin in D'(R) and S'(R); 2.11.2 Quasi-asymptotic extension problem in D'(0, ); 2.11.3 Quasi-asymptotics at infinity and spaces V'ß (R); 2.12 Quasi-asymptotic boundedness; 2.13 Relation between the S-asymptotics and quasi-asymptotics at; II. Applications of the Asymptotic Behavior of Generalized Functions 3 Asymptotic behavior of solutions to partial differential equations3.1 S-asymptotics of solutions; 3.2 Quasi-asymptotics of solutions; 3.3 S-asymptotics of solutions to equations with ultra-differential or local operators; 4 Asymptotics and integral transforms; 4.1 Abelian type theorems; 4.1.1 Transforms with general kernels; 4.1.2 Special integral transforms; 4.2 Tauberian type theorems; 4.2.1 Convolution type transforms in spaces of distributions; 4.2.2 Convolution type transforms in other spaces of generalized functions; 4.2.3 Integral transforms of Mellin convolution type 4.2.4 Special integral transforms |
| Record Nr. | UNINA-9910811156603321 |
|
Pilipović Stevan
|
||
| Singapore, : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Esercizi di matematica generale : funzioni di una variabile / Alberto Cambini, Laura Carosi, Laura Martein
| Esercizi di matematica generale : funzioni di una variabile / Alberto Cambini, Laura Carosi, Laura Martein |
| Autore | CAMBINI, Alberto |
| Pubbl/distr/stampa | Torino : Giappichelli, c2002 |
| Descrizione fisica | 256 p. ; 24 cm |
| Disciplina | 515.23(Operazioni sulle funzioni) |
| Altri autori (Persone) |
CAROSI, Laura
MARTEIN, Laura |
| Soggetto topico |
Matematica - Esercizi
Funzioni - Esercizi |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISA-990005518030203316 |
|
CAMBINI, Alberto
|
||
| Torino : Giappichelli, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Funzioni analitiche / Francesco Tricomi
| Funzioni analitiche / Francesco Tricomi |
| Autore | Tricomi, Francesco Giacomo |
| Edizione | [2. ed.] |
| Pubbl/distr/stampa | Bologna : Zanichelli, 1952 |
| Descrizione fisica | VI, 134 p. : ill. ; 24 cm |
| Disciplina | 515.23 |
| Collana | Monografie di matematica applicata |
| Soggetto non controllato | Funzioni |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNIPARTHENOPE-000011741 |
|
Tricomi, Francesco Giacomo
|
||
| Bologna : Zanichelli, 1952 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Parthenope | ||
| ||
Nonlinear Potential Theory and Weighted Sobolev Spaces [[electronic resource] /] / by Bengt O. Turesson
| Nonlinear Potential Theory and Weighted Sobolev Spaces [[electronic resource] /] / by Bengt O. Turesson |
| Autore | Turesson Bengt O |
| Edizione | [1st ed. 2000.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 |
| Descrizione fisica | 1 online resource (XII, 180 p.) |
| Disciplina | 515.23 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Potential theory (Mathematics)
Partial differential equations Potential Theory Partial Differential Equations |
| ISBN | 3-540-45168-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Preliminaries: Notation and conventions. Basic results concerning weights -- Sobolev spaces: The Sobolev space $W^(mp) w (/Omega)$. The Sobolev space $W^(mp) w (/Omega)$. Hausdorff measures. Isoperimetric inequalities. Some Sobolev type inequalities. Embeddings into L^q µ(Û) -- Potential theory: Norm inequalities for fractional integrals and maximal functions. Meyers' Theory for Lp-capacities. Bessel and Riesz capacities. Hausdorff capacities. Variational capacities. Thinness: The case 1< p. |
| Record Nr. | UNINA-9910146315903321 |
|
Turesson Bengt O
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nonlinear Potential Theory and Weighted Sobolev Spaces [[electronic resource] /] / by Bengt O. Turesson
| Nonlinear Potential Theory and Weighted Sobolev Spaces [[electronic resource] /] / by Bengt O. Turesson |
| Autore | Turesson Bengt O |
| Edizione | [1st ed. 2000.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 |
| Descrizione fisica | 1 online resource (XII, 180 p.) |
| Disciplina | 515.23 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Potential theory (Mathematics)
Partial differential equations Potential Theory Partial Differential Equations |
| ISBN | 3-540-45168-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Preliminaries: Notation and conventions. Basic results concerning weights -- Sobolev spaces: The Sobolev space $W^(mp) w (/Omega)$. The Sobolev space $W^(mp) w (/Omega)$. Hausdorff measures. Isoperimetric inequalities. Some Sobolev type inequalities. Embeddings into L^q µ(Û) -- Potential theory: Norm inequalities for fractional integrals and maximal functions. Meyers' Theory for Lp-capacities. Bessel and Riesz capacities. Hausdorff capacities. Variational capacities. Thinness: The case 1< p. |
| Record Nr. | UNISA-996466504603316 |
|
Turesson Bengt O
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds with Boundary [[electronic resource] /] / by Victor Ivrii
| Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds with Boundary [[electronic resource] /] / by Victor Ivrii |
| Autore | Ivrii Victor <1949-> |
| Edizione | [1st ed. 1984.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1984 |
| Descrizione fisica | 1 online resource (VIII, 240 p.) |
| Disciplina | 515.23 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Mathematical analysis
Analysis |
| ISBN | 3-540-38911-3 |
| Classificazione |
58G17
58G25 58G20 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466854403316 |
|
Ivrii Victor <1949->
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
TABLES of functions of zeros of functions : collected short tables / of the National bureau of standards computation laboratory
| TABLES of functions of zeros of functions : collected short tables / of the National bureau of standards computation laboratory |
| Pubbl/distr/stampa | Washington : s.e., 1954 |
| Descrizione fisica | IX, 211 p. : ill. ; 26 cm |
| Disciplina | 515.23 |
| Collana | Applied mathematics series |
| Soggetto non controllato | Funzioni - Tavole |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNINA-990000117930403321 |
| Washington : s.e., 1954 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||